diff --git a/README.md b/README.md index d4c711e..8a3ccc1 100644 --- a/README.md +++ b/README.md @@ -1,56 +1,56 @@ -![OGC Logo](http://portal.opengeospatial.org/files/?artifact_id=11976&format=gif "OGC Logo") - - -# Moving Features JSON Encodings - -This draft proposes a JSON encoding representation of movement of geographic features specified by OGC Moving Features ([OGC 14 083r2](http://docs.opengeospatial.org/is/14-083r2/14-083r2.html) and [OGC 14 084r2](http://docs.opengeospatial.org/is/14-084r2/14-084r2.html)). -A moving feature can be express as a dynamic geomtry whose location continouly changes over time. Also it can contain dynamic non-spatial attributes of features whose value varies with time. -The data format in this draft is extended from **GeoJSON terms** (type, geomtery, properties, etc.) in order to take the compatibility of GeoJSON. - -## About - -This GitHub repository tracks the latest version of the Moving Features JSON Encoding draft, which is not an OGC Stardard but will be publishied as an OGC Best Practice Paper. Therefore, it is not an official postion of the OGC memebership. -With this repository the OGC invites collaboration and comments directed at the development and enhancement of this candidate encoding format. -Pull requests for fixes are appreciated, and new functionality will still be considered until fixing the encoding format. -The specification is done in asciidoc a format supported by GitHub, similar to markdown but with some features that make it better for specifications, like automatic section numbering. - -**Editor: Kyoung-Sook KIM, Nobuhiro ISHIMARU** - -## Contributing - -The contributor understands that any contributions, if accepted by the OGC Membership, shall -be incorporated into the formal OGC Moving Features standards document and that all copyright and -intellectual property shall be vested to the OGC. - -The Moving Features Standards Working Group (SWG) is the group at OGC responsible for the stewardship -of the standard. - -The Moving Features SWG currently has the following email list: - - moving-features.swg@lists.opengeospatial.org -- [sign up here](https://lists.opengeospatial.org/mailman/listinfo/moving-features.swg) - - Private List - - Access controlled archives - - Requires OGC membership and Observer Agreement to protect IPR (intellectual property rights) - - -**SWG Chair:** -+ Nobuhiro ISHIMARU(Hitachi, Ltd., Defense Systems Company) -+ Kyoung-Sook KIM(National Institute of Advanced Industrial Science & Technology (AIST)) - -## Editing and commenting -The Moving Features SWG is accepting public comments and suggested revisions to this document via GitHub. -To suggest changes to the document please fork the repository and submit a pull request with the desired changes. -Please make one pull request per logical requested change and be sure to include a comment in the PR with any justification or reasoning on why the change is needed. - -For more general comments (that don't include actual text changes to the specification) please create a GitHub [issue](https://github.com/opengeospatial/geopackage/issues) for that topic. - -Complex changes and feature requests must go throught the [change request](http://portal.opengeospatial.org/public_ogc/change_request.php) process. The details entered -in the change request form will help the SWG adjudicate and prioritize the request. - -## Usages -1. Install [asciidoctor](http://asciidoctor.org) -2. On command line: asciidoctor -a stylesheet=./example.css index.adoc - -**asciidoctor-pdf -r asciidoctor-mathematical -a pdf-stylesdir=. -a pdf-style=asciidoctor -o output.pdf index.adoc - - -[Document rendering example](https://ksookim.github.io/mf-json) +![OGC Logo](http://portal.opengeospatial.org/files/?artifact_id=11976&format=gif "OGC Logo") + + +# Moving Features JSON Encodings + +This draft proposes a JSON encoding representation of movement of geographic features specified by OGC Moving Features ([OGC 14 083r2](http://docs.opengeospatial.org/is/14-083r2/14-083r2.html) and [OGC 14 084r2](http://docs.opengeospatial.org/is/14-084r2/14-084r2.html)). +A moving feature can be express as a dynamic geomtry whose location continouly changes over time. Also it can contain dynamic non-spatial attributes of features whose value varies with time. +The data format in this draft is extended from **GeoJSON terms** (type, geomtery, properties, etc.) in order to take the compatibility of GeoJSON. + +## About + +This GitHub repository tracks the latest version of the Moving Features JSON Encoding draft, which is not an OGC Stardard but will be publishied as an OGC Best Practice Paper. Therefore, it is not an official postion of the OGC memebership. +With this repository the OGC invites collaboration and comments directed at the development and enhancement of this candidate encoding format. +Pull requests for fixes are appreciated, and new functionality will still be considered until fixing the encoding format. +The specification is done in asciidoc a format supported by GitHub, similar to markdown but with some features that make it better for specifications, like automatic section numbering. + +**Editor: Kyoung-Sook KIM, Nobuhiro ISHIMARU** + +## Contributing + +The contributor understands that any contributions, if accepted by the OGC Membership, shall +be incorporated into the formal OGC Moving Features standards document and that all copyright and +intellectual property shall be vested to the OGC. + +The Moving Features Standards Working Group (SWG) is the group at OGC responsible for the stewardship +of the standard. + +The Moving Features SWG currently has the following email list: + - moving-features.swg@lists.opengeospatial.org -- [sign up here](https://lists.opengeospatial.org/mailman/listinfo/moving-features.swg) + - Private List + - Access controlled archives + - Requires OGC membership and Observer Agreement to protect IPR (intellectual property rights) + + +**SWG Chair:** ++ Nobuhiro ISHIMARU(Hitachi, Ltd., Defense Systems Company) ++ Kyoung-Sook KIM(National Institute of Advanced Industrial Science & Technology (AIST)) + +## Editing and commenting +The Moving Features SWG is accepting public comments and suggested revisions to this document via GitHub. +To suggest changes to the document please fork the repository and submit a pull request with the desired changes. +Please make one pull request per logical requested change and be sure to include a comment in the PR with any justification or reasoning on why the change is needed. + +For more general comments (that don't include actual text changes to the specification) please create a GitHub [issue](https://github.com/opengeospatial/geopackage/issues) for that topic. + +Complex changes and feature requests must go throught the [change request](http://portal.opengeospatial.org/public_ogc/change_request.php) process. The details entered +in the change request form will help the SWG adjudicate and prioritize the request. + +## Usages +1. Install [asciidoctor](http://asciidoctor.org) +2. On command line: asciidoctor -a stylesheet=./example.css index.adoc + +**asciidoctor-pdf -r asciidoctor-mathematical -a pdf-stylesdir=. -a pdf-style=asciidoctor -o output.pdf index.adoc + + +[Document rendering example](https://ksookim.github.io/mf-json) diff --git a/bp/0_preface.adoc b/bp/0_preface.adoc index 8d3caf8..21e10ea 100755 --- a/bp/0_preface.adoc +++ b/bp/0_preface.adoc @@ -1,54 +1,54 @@ -[big]*i. Abstract* - -This document proposes a JavaScript Object Notation (JSON) encoding representation of movement of geographic features as an encoding extension of OGC Moving Features ([OGC 14-083r2] and [OGC 14-084r2]). -A moving feature, typically a vehicle and pedestrian, can be expressed as a temporal geometry whose location continuously changes over time and contains dynamic non-spatial attributes whose values vary with time. -This Best Practice describes how to share moving feature data based on JSON and GeoJSON (a JSON format for encoding geographic data structures). -In addition, this document provides an example of RESTful approaches as a Feature Service Interface that has the potential for simplicity, scalability, and resilience with respect to exchange of moving feature data across the Web. - - -[big]*ii. Keywords* - -The following are keywords to be used by search engines and document catalogues. - -ogcdoc, OGC document, moving features, encoding, JSON, REST - - -[big]*iii. Preface* - -This Best Practice document follows the abstract data model defined in ISO 19141:2008 [ISO 19141:2008] with -the encoding method referring to the IETF GeoJSON Format [IETF RFC 7946]. -OGC Moving Features Encoding standards XML Core [OGC 14 083r2] and Simple CSV [OGC 14 084r2] have focused on the movement of 0-dimensional geometric primitives (Points), called trajectories. -However, this document covers the movements of 0-dimensional Points, 1-dimensional curve LineStrings, and 2-dimensional surface Polygons to support application requirements such as disaster risk management, traffic information services, and geo-fencing services. - -Attention is drawn to the possibility that some of the elements of this document may be the subject of patent rights. -The Open Geospatial Consortium shall not be held responsible for identifying any or all such patent rights. - -_Recipients of this document are requested to submit, with their comments, notification of any relevant patent claims or other intellectual property rights of which they may be aware that might be infringed by any implementation of the standard set forth in this document, and to provide supporting documentation._ - -[big]*iv. Submitting organizations* - -The following organization has submitted this Document to the Open GeoSpatial Consortium, Inc.: - -* Artificial Intelligence Research Center, National Institute of Advanced Industrial Science and Technology - - -[big]*v. Submitters* - -All questions regarding this submission should be directed to the editor or the submitters: - -{set:cellbgcolor!} -[width="99%", cols="3,7"] -|=========================================================== -|*Name* |*Organization* -|Kyoung-Sook KIM |Artificial Intelligence Research Center, National Institute of Advanced Industrial Science and Technology -|Hirotaka OGAWA |Artificial Intelligence Research Center, National Institute of Advanced Industrial Science and Technology -|=========================================================== - - -[big]*vi. Future Work* - -Among the topics for future development are the following items: - -- Testing RESTful API implementation; -- Moving features in an indoor space; and -- Representation of three-dimensional moving features. +[big]*i. Abstract* + +This document proposes a JavaScript Object Notation (JSON) encoding representation of movement of geographic features as an encoding extension of OGC Moving Features ([OGC 14-083r2] and [OGC 14-084r2]). +A moving feature, typically a vehicle and pedestrian, can be expressed as a temporal geometry whose location continuously changes over time and contains dynamic non-spatial attributes whose values vary with time. +This Best Practice describes how to share moving feature data based on JSON and GeoJSON (a JSON format for encoding geographic data structures). +In addition, this document provides an example of RESTful approaches as a Feature Service Interface that has the potential for simplicity, scalability, and resilience with respect to exchange of moving feature data across the Web. + + +[big]*ii. Keywords* + +The following are keywords to be used by search engines and document catalogues. + +ogcdoc, OGC document, moving features, encoding, JSON, REST + + +[big]*iii. Preface* + +This Best Practice document follows the abstract data model defined in ISO 19141:2008 [ISO 19141:2008] with +the encoding method referring to the IETF GeoJSON Format [IETF RFC 7946]. +OGC Moving Features Encoding standards XML Core [OGC 14 083r2] and Simple CSV [OGC 14 084r2] have focused on the movement of 0-dimensional geometric primitives (Points), called trajectories. +However, this document covers the movements of 0-dimensional Points, 1-dimensional curve LineStrings, and 2-dimensional surface Polygons to support application requirements such as disaster risk management, traffic information services, and geo-fencing services. + +Attention is drawn to the possibility that some of the elements of this document may be the subject of patent rights. +The Open Geospatial Consortium shall not be held responsible for identifying any or all such patent rights. + +_Recipients of this document are requested to submit, with their comments, notification of any relevant patent claims or other intellectual property rights of which they may be aware that might be infringed by any implementation of the standard set forth in this document, and to provide supporting documentation._ + +[big]*iv. Submitting organizations* + +The following organization has submitted this Document to the Open GeoSpatial Consortium, Inc.: + +* Artificial Intelligence Research Center, National Institute of Advanced Industrial Science and Technology + + +[big]*v. Submitters* + +All questions regarding this submission should be directed to the editor or the submitters: + +{set:cellbgcolor!} +[width="99%", cols="3,7"] +|=========================================================== +|*Name* |*Organization* +|Kyoung-Sook KIM |Artificial Intelligence Research Center, National Institute of Advanced Industrial Science and Technology +|Hirotaka OGAWA |Artificial Intelligence Research Center, National Institute of Advanced Industrial Science and Technology +|=========================================================== + + +[big]*vi. Future Work* + +Among the topics for future development are the following items: + +- Testing RESTful API implementation; +- Moving features in an indoor space; and +- Representation of three-dimensional moving features. diff --git a/bp/1_introduction.adoc b/bp/1_introduction.adoc index 4cd580d..361831a 100755 --- a/bp/1_introduction.adoc +++ b/bp/1_introduction.adoc @@ -1,198 +1,198 @@ -== Scope - -This Best Practice provides a format for encoding moving features using JSON [IETF RFC7159] and an example of interfaces for the RESTful service of moving features. -A moving feature describes the geometry of a feature that moves within any domain composed of spatial objects as specified in ISO 19107:2003. -The Moving Feature JSON encoding defined in this document is an alternative to the OGC(R) Moving Features Encodings XML [OGC 14 083r2] and Simple Comma Separated Values (CSV) [OGC 14 084r2] standards. -The data format of Moving Feature JSON is correspondingly designed to implement the abstract model of moving features as defined in ISO 19141:2008 as shown in the <> with the concepts of foliation, prism, trajectory, and leaf. - -[#conceptual_model,reftext='{figure-caption} {counter:figure-num}'] -.Conceptual Model of a Moving Feature: Foliation, Prism, Leaf, and Trajectory -image::moving-features.png[Conceptual Moving Feature, pdfwidth=60%, width=60%, align="center"] - -In the illustration above, a 2D rectangle moves and rotates. Each representation of the rectangle at a given time is a leaf. -The path traced by each corner point of the rectangle (and by each of its other points) is a trajectory. -The set of points contained in all of the leaves, and in all of the trajectories, forms a prism. -The set of leaves also forms a foliation, meaning that there is a complete and separate representation of the geometry of the feature for each specific time. -The prism of the moving feature can be viewed as a bundle of trajectories of points on the local engineering representation of the feature's geometry. - -In general, Moving Feature JSON encoding applies to representations and formats of GeoJSON [IETF RFC 7946]; -however, new terms are added to specify dynamic attributes of moving features: - -* _Temporal geometric objects_ whose location changes over time: the movement of 0-dimensional, 1-dimensional, 2-dimensional geometric primitives, and their collections; and -* _Dynamic non-spatial attributes_ whose value varies with time: the change of a quantity. - -This document also describes interfaces for accessing moving features based on the data format: - -* _RESTful APIs_ for handling moving feature data over HTTP: Create, Read, Update, and Delete (CRUD) operations. - -This Best Practice document has left many issues out of its scope. -Design issues with complex interpolation methods and service capabilities were not considered. - -== Conformance - -Not applicable for this Best Practice document. - -[#references,reftext='3'] -== References - -The following normative documents contain provisions that, through reference in this text, constitute provisions of this document. For dated references, subsequent amendments to, or revisions of, any of these publications do not apply. For undated references, the latest edition of the normative document referred to applies. - -* OGC: http://www.opengeospatial.org/standards/common[OGC 06-121r9], _OGC Web Services Common Standard_, version 2.0.0, 2010. -* OGC: http://www.opengeospatial.org/standards/movingfeatures[OGC 14-083r2], _OGC Moving Features Encoding Part I: XML Core_, 2015. -* OGC: http://www.opengeospatial.org/standards/movingfeatures[OGC 14-084r2], _OGC Moving Features Encoding Extension: Simple Comma Separated Values (CSV)_, 2015. -* OGC: http://www.opengeospatial.org/standards/movingfeatures[OGC 16-120r3], _OGC Moving Features Access_, 2017. -* OGC: http://www.opengeospatial.org/standards/sensorthings[OGC 15-078r6], _OGC SensorThings API Part 1: Sensing_, 2016. -* ISO: http://isotc.iso.org/livelink/livelink?func=ll&objId=4230456&objAction=browse&sort=subtype[ISO/IEC Directives], _Part 2. Rules for the structure and drafting of International Standards_ -* ISO: http://www.iso.org/iso/catalogue_detail?csnumber=40874[ISO 8601:2004], _Data elements and interchange formats - Information interchange - Representation of dates and time_, 2004. -* ISO: http://www.iso.org/iso/catalogue_detail?csnumber=59164[ISO 19101:2014], _Geographic information — Reference model — Part 1: Fundamentals_, 2014. -* ISO: http://www.iso.org/iso/catalogue_detail?csnumber=56734[ISO 19103:2015], _Geographic information — Conceptual schema language_, 2015. -* ISO: http://www.iso.org/iso/catalogue_detail?csnumber=26012[ISO 19107:2003] _Geographic Information - Spatial schema_, 2003. -* ISO: http://www.iso.org/iso/iso_catalogue/catalogue_tc/catalogue_detail.htm?csnumber=59221[ISO 19119:2006], _Geographic information - Services_, 2006. -* ISO: http://www.iso.org/iso/iso_catalogue/catalogue_tc/catalogue_detail.htm?csnumber=41445[ISO 19141:2008], _Geographic information - Schema for moving features_, 2008. -* IETF: https://www.ietf.org/rfc/rfc3986.txt[IETF RFC 3986], _Uniform Resource Identifier (URI): Generic Syntax_, 2005. -* IETF: https://www.ietf.org/rfc/rfc2616.txt[IETF RFC 2616], _Hypertext Transfer Protocol -- HTTP/1.1_, 1999. -* IETF: https://www.ietf.org/rfc/rfc7159.txt[IETF RFC 7159], _The JavaScript Object Notation (JSON) Data Interchange Format_, 2014. -* IETF: https://www.ietf.org/rfc/rfc7464.txt[IETF RFC 7464], _JavaScript Object Notation (JSON) Text Sequences_, 2015. -* IETF: https://www.ietf.org/rfc/rfc7946.txt[IETF RFC 7946], _The GeoJSON Format_, 2016. -* OASIS: http://docs.oasis-open.org/odata/odata/v4.0/odata-v4.0-part1-protocol.html[OData-Part1], _OData Version 4.0. Part 1: Protocol Plus Errata 03._ Edited by Michael Pizzo, Ralf Handl, and Martin Zurmuehl. OASIS Standard incorporating Approved Errata 03, 2016. - - -Additionally the following informative documents are addressed: - -* OGC: OGC 15-052r1, _OGC Testbed 11 REST Interface Engineering Report_, 2016. - - -== Terms and definitions - -This document uses the specification terms defined in Subclause 5.3 of [OGC 06-121r9], which is based on the ISO/IEC Directives, Part 2, Rules for the structure and drafting of International Standards. -In particular: - -- SHALL is the verb form used to indicate a requirement to be strictly followed to conform to this specification, from which no deviation is permitted + -- MAY is the verb form used to indicate an action permissible within the limits of this specification - -For the purposes of this document, the following additional terms and definitions apply. - -=== API -An interface that is defined in terms of a set of functions and procedures, and enables a program to gain access to facilities within an application. (Definition from Dictionary of Computer Science - Oxford Quick Reference, 2016) - -=== client -software component that can invoke an operation from a server + - [ OGC 06-121r9 ] - -=== dynamic attributes -characteristic of a feature in which its value varies with time - -=== feature -abstraction of real world phenomena + - [ ISO 19101:2014 ] - -=== foliation -one parameter set of geometries such that each point in the prism of the set is in one and only one -trajectory and in one and only one leaf + - [ ISO 19141:2008 ] - -=== geometric object -spatial object representing a geometric set + - [ ISO 19107:2003 ] - -=== geometric primitive -geometric object representing a single, connected, homogeneous element of space + - [ ISO 19107:2003 ] - -=== interface -named set of operations that characterize the behaviour of an entity + - [ ISO 19119:2006 ] - -=== leaf - geometry at a particular value of the parameter + - [ ISO 19141:2008 ] - -=== moving feature -feature whose location changes over time + - [ ISO 19141:2008 ] + -NOTE    Its base representation uses a local origin and local coordinate vectors of a geometric object at a given reference time. - -=== one parameter set of geometries -function f from an interval t latexmath:[\in ] [a, b] such that f(t) is a geometry and for each point P latexmath:[\in ] f(a) there is a one -parameter set of points (called the trajectory of P) P(t):[a,b] -> P(t) such that P(t) latexmath:[\in ] f(t) + - [ ISO 19141:2008 ] + -EXAMPLE    A curve C with constructive parameter t is a one parameter set of points c(t). - -=== period -one-dimensional geometric primitive representing extent in time + - [ ISO 19141:2008 ] - -=== prism - set of points in the union of the geometries (or the union of the -trajectories) of a one parameter set of geometries + - [ ISO 19141:2008 ] - -=== request -invocation of an operation by a client + - [ OGC 06-121r9 ] - -=== resource -any addressable unit of information or service + - [ IETF RFC 3986 ] - -=== response -result of an operation, returned from a server to a client + - [ OGC 06-121r9 ] - -=== server -a particular instance of a service + - [ OGC 06-121r9 ] - -=== service -distinct part of the functionality that is provided by an entity through interfaces + - [ ISO 19119:2006 ] - -=== temporal geometry -one parameter set of geometries in which the parameter is time - -=== trajectory -path of a moving point described by a one parameter set of points + - [ ISO 19141:2008 ] - -== Conventions - -This section provides details and examples for conventions used in the document. - -All examples in this document illustrated by gray or orange boxes are informative only. - -=== JSON notation - -The notation of JSON in this document is based on the specification of [RFC 7159]. - -The ordering of the members of any JSON object must be considered irrelevant. Some examples use a JavaScript single line comment (//) and an ellipsis (...) as placeholder notation for a specific JSON instance. -Whitespace is used in the examples inside this document to help illustrate the data structures, but is not required. Unquoted whitespace is not significant in JSON. - -=== UML notation - -Unified Modeling Language (UML) static structure diagrams appearing in this document are used as described in Subclause 5.2 of OGC Web Services Common [OGC 06-121r9]. - -=== Abbreviated terms - -The following symbols and abbreviated terms are used in this best practice paper: - -[width="99%", cols="2,8"] -|========= -|API | Application Program Interface -|CRS | Coordinate Reference Systems -|CRUD | Create, Read, Update, Delete -|CSV | Comma Separated Values -|HTTP | Hypertext Transfer Protocol -|IETF | Internet Engineering Task Force -|ISO | International Organization for Standardization -|JSON | JavaScript Object Notation -|OASIS| Organization for the Advancement of Structured Information Standards -|OGC | Open Geospatial Consortium -|REST | Representational State Transfer -|UML | Unified Modeling Language -|URI | Uniform Resource Identifiers -|URL | Uniform Resource Locators -|WKT | Well Known Text -|XML | Extensible Markup Language -|1D | One Dimensional -|2D | Two Dimensional -|========= +== Scope + +This Best Practice provides a format for encoding moving features using JSON [IETF RFC7159] and an example of interfaces for the RESTful service of moving features. +A moving feature describes the geometry of a feature that moves within any domain composed of spatial objects as specified in ISO 19107:2003. +The Moving Feature JSON encoding defined in this document is an alternative to the OGC(R) Moving Features Encodings XML [OGC 14 083r2] and Simple Comma Separated Values (CSV) [OGC 14 084r2] standards. +The data format of Moving Feature JSON is correspondingly designed to implement the abstract model of moving features as defined in ISO 19141:2008 as shown in the <> with the concepts of foliation, prism, trajectory, and leaf. + +[#conceptual_model,reftext='{figure-caption} {counter:figure-num}'] +.Conceptual Model of a Moving Feature: Foliation, Prism, Leaf, and Trajectory +image::moving-features.png[Conceptual Moving Feature, pdfwidth=60%, width=60%, align="center"] + +In the illustration above, a 2D rectangle moves and rotates. Each representation of the rectangle at a given time is a leaf. +The path traced by each corner point of the rectangle (and by each of its other points) is a trajectory. +The set of points contained in all of the leaves, and in all of the trajectories, forms a prism. +The set of leaves also forms a foliation, meaning that there is a complete and separate representation of the geometry of the feature for each specific time. +The prism of the moving feature can be viewed as a bundle of trajectories of points on the local engineering representation of the feature's geometry. + +In general, Moving Feature JSON encoding applies to representations and formats of GeoJSON [IETF RFC 7946]; +however, new terms are added to specify dynamic attributes of moving features: + +* _Temporal geometric objects_ whose location changes over time: the movement of 0-dimensional, 1-dimensional, 2-dimensional geometric primitives, and their collections; and +* _Dynamic non-spatial attributes_ whose value varies with time: the change of a quantity. + +This document also describes interfaces for accessing moving features based on the data format: + +* _RESTful APIs_ for handling moving feature data over HTTP: Create, Read, Update, and Delete (CRUD) operations. + +This Best Practice document has left many issues out of its scope. +Design issues with complex interpolation methods and service capabilities were not considered. + +== Conformance + +Not applicable for this Best Practice document. + +[#references,reftext='3'] +== References + +The following normative documents contain provisions that, through reference in this text, constitute provisions of this document. For dated references, subsequent amendments to, or revisions of, any of these publications do not apply. For undated references, the latest edition of the normative document referred to applies. + +* OGC: http://www.opengeospatial.org/standards/common[OGC 06-121r9], _OGC Web Services Common Standard_, version 2.0.0, 2010. +* OGC: http://www.opengeospatial.org/standards/movingfeatures[OGC 14-083r2], _OGC Moving Features Encoding Part I: XML Core_, 2015. +* OGC: http://www.opengeospatial.org/standards/movingfeatures[OGC 14-084r2], _OGC Moving Features Encoding Extension: Simple Comma Separated Values (CSV)_, 2015. +* OGC: http://www.opengeospatial.org/standards/movingfeatures[OGC 16-120r3], _OGC Moving Features Access_, 2017. +* OGC: http://www.opengeospatial.org/standards/sensorthings[OGC 15-078r6], _OGC SensorThings API Part 1: Sensing_, 2016. +* ISO: http://isotc.iso.org/livelink/livelink?func=ll&objId=4230456&objAction=browse&sort=subtype[ISO/IEC Directives], _Part 2. Rules for the structure and drafting of International Standards_ +* ISO: http://www.iso.org/iso/catalogue_detail?csnumber=40874[ISO 8601:2004], _Data elements and interchange formats - Information interchange - Representation of dates and time_, 2004. +* ISO: http://www.iso.org/iso/catalogue_detail?csnumber=59164[ISO 19101:2014], _Geographic information — Reference model — Part 1: Fundamentals_, 2014. +* ISO: http://www.iso.org/iso/catalogue_detail?csnumber=56734[ISO 19103:2015], _Geographic information — Conceptual schema language_, 2015. +* ISO: http://www.iso.org/iso/catalogue_detail?csnumber=26012[ISO 19107:2003] _Geographic Information - Spatial schema_, 2003. +* ISO: http://www.iso.org/iso/iso_catalogue/catalogue_tc/catalogue_detail.htm?csnumber=59221[ISO 19119:2006], _Geographic information - Services_, 2006. +* ISO: http://www.iso.org/iso/iso_catalogue/catalogue_tc/catalogue_detail.htm?csnumber=41445[ISO 19141:2008], _Geographic information - Schema for moving features_, 2008. +* IETF: https://www.ietf.org/rfc/rfc3986.txt[IETF RFC 3986], _Uniform Resource Identifier (URI): Generic Syntax_, 2005. +* IETF: https://www.ietf.org/rfc/rfc2616.txt[IETF RFC 2616], _Hypertext Transfer Protocol -- HTTP/1.1_, 1999. +* IETF: https://www.ietf.org/rfc/rfc7159.txt[IETF RFC 7159], _The JavaScript Object Notation (JSON) Data Interchange Format_, 2014. +* IETF: https://www.ietf.org/rfc/rfc7464.txt[IETF RFC 7464], _JavaScript Object Notation (JSON) Text Sequences_, 2015. +* IETF: https://www.ietf.org/rfc/rfc7946.txt[IETF RFC 7946], _The GeoJSON Format_, 2016. +* OASIS: http://docs.oasis-open.org/odata/odata/v4.0/odata-v4.0-part1-protocol.html[OData-Part1], _OData Version 4.0. Part 1: Protocol Plus Errata 03._ Edited by Michael Pizzo, Ralf Handl, and Martin Zurmuehl. OASIS Standard incorporating Approved Errata 03, 2016. + + +Additionally the following informative documents are addressed: + +* OGC: OGC 15-052r1, _OGC Testbed 11 REST Interface Engineering Report_, 2016. + + +== Terms and definitions + +This document uses the specification terms defined in Subclause 5.3 of [OGC 06-121r9], which is based on the ISO/IEC Directives, Part 2, Rules for the structure and drafting of International Standards. +In particular: + +- SHALL is the verb form used to indicate a requirement to be strictly followed to conform to this specification, from which no deviation is permitted + +- MAY is the verb form used to indicate an action permissible within the limits of this specification + +For the purposes of this document, the following additional terms and definitions apply. + +=== API +An interface that is defined in terms of a set of functions and procedures, and enables a program to gain access to facilities within an application. (Definition from Dictionary of Computer Science - Oxford Quick Reference, 2016) + +=== client +software component that can invoke an operation from a server + + [ OGC 06-121r9 ] + +=== dynamic attributes +characteristic of a feature in which its value varies with time + +=== feature +abstraction of real world phenomena + + [ ISO 19101:2014 ] + +=== foliation +one parameter set of geometries such that each point in the prism of the set is in one and only one +trajectory and in one and only one leaf + + [ ISO 19141:2008 ] + +=== geometric object +spatial object representing a geometric set + + [ ISO 19107:2003 ] + +=== geometric primitive +geometric object representing a single, connected, homogeneous element of space + + [ ISO 19107:2003 ] + +=== interface +named set of operations that characterize the behaviour of an entity + + [ ISO 19119:2006 ] + +=== leaf + geometry at a particular value of the parameter + + [ ISO 19141:2008 ] + +=== moving feature +feature whose location changes over time + + [ ISO 19141:2008 ] + +NOTE    Its base representation uses a local origin and local coordinate vectors of a geometric object at a given reference time. + +=== one parameter set of geometries +function f from an interval t latexmath:[\in ] [a, b] such that f(t) is a geometry and for each point P latexmath:[\in ] f(a) there is a one +parameter set of points (called the trajectory of P) P(t):[a,b] -> P(t) such that P(t) latexmath:[\in ] f(t) + + [ ISO 19141:2008 ] + +EXAMPLE    A curve C with constructive parameter t is a one parameter set of points c(t). + +=== period +one-dimensional geometric primitive representing extent in time + + [ ISO 19141:2008 ] + +=== prism + set of points in the union of the geometries (or the union of the +trajectories) of a one parameter set of geometries + + [ ISO 19141:2008 ] + +=== request +invocation of an operation by a client + + [ OGC 06-121r9 ] + +=== resource +any addressable unit of information or service + + [ IETF RFC 3986 ] + +=== response +result of an operation, returned from a server to a client + + [ OGC 06-121r9 ] + +=== server +a particular instance of a service + + [ OGC 06-121r9 ] + +=== service +distinct part of the functionality that is provided by an entity through interfaces + + [ ISO 19119:2006 ] + +=== temporal geometry +one parameter set of geometries in which the parameter is time + +=== trajectory +path of a moving point described by a one parameter set of points + + [ ISO 19141:2008 ] + +== Conventions + +This section provides details and examples for conventions used in the document. + +All examples in this document illustrated by gray or orange boxes are informative only. + +=== JSON notation + +The notation of JSON in this document is based on the specification of [RFC 7159]. + +The ordering of the members of any JSON object must be considered irrelevant. Some examples use a JavaScript single line comment (//) and an ellipsis (...) as placeholder notation for a specific JSON instance. +Whitespace is used in the examples inside this document to help illustrate the data structures, but is not required. Unquoted whitespace is not significant in JSON. + +=== UML notation + +Unified Modeling Language (UML) static structure diagrams appearing in this document are used as described in Subclause 5.2 of OGC Web Services Common [OGC 06-121r9]. + +=== Abbreviated terms + +The following symbols and abbreviated terms are used in this best practice paper: + +[width="99%", cols="2,8"] +|========= +|API | Application Program Interface +|CRS | Coordinate Reference Systems +|CRUD | Create, Read, Update, Delete +|CSV | Comma Separated Values +|HTTP | Hypertext Transfer Protocol +|IETF | Internet Engineering Task Force +|ISO | International Organization for Standardization +|JSON | JavaScript Object Notation +|OASIS| Organization for the Advancement of Structured Information Standards +|OGC | Open Geospatial Consortium +|REST | Representational State Transfer +|UML | Unified Modeling Language +|URI | Uniform Resource Identifiers +|URL | Uniform Resource Locators +|WKT | Well Known Text +|XML | Extensible Markup Language +|1D | One Dimensional +|2D | Two Dimensional +|========= diff --git a/bp/2_data-format.adoc b/bp/2_data-format.adoc index 83d279b..7a452f2 100755 --- a/bp/2_data-format.adoc +++ b/bp/2_data-format.adoc @@ -1,531 +1,531 @@ -[#data_format,reftext='6'] -== JSON Encoding - -This clause specifies the data format for encoding moving features by using JSON objects. - - -=== Overview - -Moving Features JSON (MF-JSON) defines new fields by extending "foreign members" of https://www.ietf.org/rfc/rfc7946.txt[GeoJSON] [IETF RFC 7946]. -MF-JSON provides several types of JSON objects to represent geographical movements, dynamic properties, and spatiotemporal extents of moving features, -based on the two reference systems of World Geodetic System 1984 (WGS84) and Coordinated Universal Time (UTC). However, the MF-JSON object may have the "crs" member -to describe its local or global coordinate reference system (CRS). - -[NOTE] -In https://www.ietf.org/rfc/rfc7946.txt[IETF GeoJSON format], types are not extensible. -GeoJSON allows only the fixed types: FeatureCollection, Feature, Point, LineString, MultiPoint, Polygon, MultiLineString, MultiPolygon, and GeometryCollection. -For the compatibility with GeoJSON, MF-JSON reserves new members of the geometric description of feature movement and the change of non-spatial attributes of features. - - -// (Despite compliant GeoJSON not permitting extension of types, this document extends new types for representing moving features with time-varying geometries and properties. - - -<> compares the difference of members between GeoJSON and MF-JSON. - -[#mf_overview,reftext='{figure-caption} {counter:figure-num}'] -.JSON Objects in the Moving Features JSON format -image::mfjson.png[Overview, pdfwidth=55%, width=55%, align="center"] -// image::mf-overview.png[Overview, pdfwidth=55%, width=55%, align="center"] s - - -[source, javascript] -.Example 6.1: -{ - "type": "MovingFeature", //(REQUIRED) Moving Feature Type - "temporalGeometry": { //(REQUIRED) temporal geometric object, extended from 'geometry' - "type": "MovingPoint", // a geometry type to represent a trajectory - "coordinates": [ [100.0, 0.0], [101.0, 0.0], [101.0, 1.0], [100.0, 1.0] ], - "datetimes": ["2011-07-14T22:01:01Z", "2011-07-14T23:01:01Z", "2011-07-15T00:01:01Z", "2011-07-15T01:01:01Z"], - "interpolations": ["Linear"] // a pre-defined interpolation method between two consecutive instants in the "datetimes" field - }, - "temporalProperties": [ //(OPTIONAL) dynamic non-spatial attributes, extended from 'properties' - { // a group of temporal properties that are measured at the same times - "datetimes": ["2011-07-14T22:01:01Z", "2011-07-14T23:01:01Z", "2011-07-15T00:01:01Z"], - "length": { - "uom": "http://www.qudt.org/qudt/owl/1.0.0/quantity/Length", // a URI denoting a unit-of-measure - "values": [1.0, 2.4, 1.0], // the array of values for "length", with the same number of elements as "datetimes" - "interpolations": ["Stepwise"], - "description": "description1" //(OPTIONAL) - }, - "message":{ - "uom": "text", // a predefined unit for a string value - "values": ["A", "B", "C"], // the array of values for "message", with the same number of elements as "datetimes" - "interpolations": ["Discrete"], - "description": "description2" //(OPTIONAL) - } - }, - { - "datetimes" : ["2011-07-14T22:02:01Z", "2011-07-15T01:11:22Z"], - "discharge" : { - "uom" : "m^3/s", // a symbol from UCUM - "values" : [3.0, 4.0], - "interpolations": [ // two user-defined interpolations having two sub-time intervals - { - "coefficients": [1.0, 3.0, 4.1], // v = 1.0t^2 + 3.0t + 4.1 - "period": { - "begin": "2011-07-14T22:02:01Z", - "end" : "2011-07-14T23:11:14Z" - } - }, - { - "coefficients": [5.0, 8.2], // v = 5.0t + 8.2 - "period": { - "begin": "2011-07-14T23:11:14Z", - "end" : "2011-07-15T01:11:22Z" - } - } - ], - "description": "it has two user-defined interpolations" //(OPTIONAL) - } - } - ], - "stBoundedBy": { //(OPTIONAL) spatiotemporal bounding box to include the moving feature - "bbox": [100.0, 0.0, 101.0, 1.0], - "period": { - "begin": "2011-07-14T22:01:00Z", - "end" : "2011-07-15T21:14:00Z" - } - }, - "properties": { //(OPTIONAL) static non-spatial attributes regardless of time: the same representation of GeoJSON - "name": "bus1", - "state":"test1" - } -} - - -=== Moving Features - -In the MF-JSON format, two moving feature types are added as follows: - -- *MovingFeature*: a JSON object to represent a moving feature instance, having two REQUIRED members of `"type"` and `"temporalGeometry"`, and three OPTIONAL members of `"temporalProperties"`, `"stBoundedBy"`, and `"properties"` depending on the application requirements. - -+ - -[source, javascript] -{ - "type": "MovingFeature", //(REQUIRED) - "temporalGeometry": {...}, //(REQUIRED) - "temporalProperties": [...], //(OPTIONAL) - "stBoundedBy": {...}, //(OPTIONAL) - "properties": {...} //(OPTIONAL) -} - -+ - - ** The value of the `"type"` member SHALL be the string of `"MovingFeature"`. - ** The value of the `"temporalGeometry"` member SHALL be a JSON object as described in <>. An instance of `"MovingFeature"` SHALL only one `"temporalGeometry"` member. - ** The value of the `"temporalProperties"` member SHALL be a JSON array as described in <>. - ** The value of the `"stBoundedBy"` member SHALL be a JSON object as described in <>, representing the spatiotemporal bounding box of the `"temporalGeometry"` instance. - ** The value of the `"properties"` member is an object (any JSON object or a JSON null value). - - -- *MovingFeatureCollection*: a JSON object to represent a collection of moving feature instances, having two REQUIRED members of `"type"` and `"features"` and one OPTIONAL member of `"stBoundedBy"`. - -+ - -[source, javascript] -{ - "type": "MovingFeatureCollection", //(REQUIRED) - "features": [ //(REQUIRED) - { - "type": "MovingFeature", - "temporalGeometry": {...}, - "temporalProperties": [...], - ... - }, - { - "type": "MovingFeature", - "temporalGeometry": {...}, - "temporalProperties": [...], - ... - } - ], - "stBoundedBy": {...} //(OPTIONAL) -} - -+ - - ** The value of the `"type"` member SHALL be the string of `"MovingFeatureCollection"`. - ** The value of the `"features"` member SHALL be a JSON array of moving feature instances as described in <>. - ** The value of the `"stBoundedBy"` member SHALL be a JSON object as described in <>, representing the spatiotemporal bounding box to cover all of the `"temporalGeometry"` instances in the `"features"` elements. - - -[#tgeometry] -=== Temporal Geometries - -The value of `"temporalGeometry"` member of a moving feature SHALL be a JSON object where the value of the `"type"` member is one of the following strings: `"MovingPoint"`, `"MovingLineString"`, `"MovingPolygon"`, `"MultiMovingPoint"`, `"MultiMovingLineString"`, `"MultiMovingPolygon"`, and `"MovingGeometryCollection"`. -A temporal geometry is conceptualized as a prism of the set of points contained in all of the leaves (a foliation) and trajectories, representing the geographical movement of a moving feature. -The temporal geometry is mathematically modeled as a mapping function from time to a geometric object: *_temporalGeometry: timePosition -> Geometry_* (http://geojson.org/geojson-spec.html#point[Point], http://geojson.org/geojson-spec.html#linestring[LineString], http://geojson.org/geojson-spec.html#polygon[Polygon], -http://geojson.org/geojson-spec.html#multipoint[MultiPoint], http://geojson.org/geojson-spec.html#multilinestring[MultiLineString], http://geojson.org/geojson-spec.html#multipolygon#polygon[MultiPolygon], or http://geojson.org/geojson-spec.html#geometry-collection[GeometryCollection]). - -- *MovingPoint*: A temporal geometry represents the trajectory of a time-parameterized 0-dimensional geometric primitive (Point) representing a single geographic position at a time position (instant) within its temporal domain. Intuitively, this type depicts a set of curves in a spatiotemporal domain. A MovingPoint is used to express http://docs.opengeospatial.org/is/14-083r2/14-083r2.html#78[mf:AbstractTrajectory] in the OGC Moving Features standard. For example, the movement information of people, vehicles, or hurricanes can be shared by instances of the `"MovingPoint"` type. - -- *MovingLineString*: A temporal geometry represents the prism of a time-parameterized 1-dimensional (1D) geometric primitive (LineString) whose leaf at a time position is 1-dimensional linear object in a particular time period. Intuitively this type depicts a set of surfaces in a spatiotemporal domain. For example, the movement information of weather fronts or traffic congestion on roads can be shared by instances of the `"MovingLineString"` type. - -- *MovingPolygon*: A temporal geometry represents the prism of a time-parameterized 2-dimensional (2D) geometric primitive (Polygon) whose leaf at a time position is 2-dimensional polygonal object in a particular time period. Intuitively this type depicts a set of polyhedrons that are the convex hulls of two congruent polygons in a spatiotemporal domain. For example, the changes of flooding areas or the movement information of air pollution can be shared by instances of the `"MovingPolygon"` type. - -- *MultiMovingPoint*: A temporal geometry represents a set of moving points. - -- *MultiMovingLineString*: A temporal geometry represents a set of moving linestrings. - -- *MultiMovingPolygon*: A temporal geometry represents a set of moving polygons. - -- *MovingGeometryCollection*: Represents a collection of temporal geometries that have time-varing locations. Each element in the collection belongs to one of the above types. - - -This practice defines two encoding mthods for a temporal geometry instance: simple and collection form. - -[#simple] -==== Simple Temporal Geometries - -The simple form of temporal geometry instances is a JSON object with four REQUIRED members: `"type"`, `"coordinates"`, `"datetimes"`, and `"interpolations"`. -The simple form represents the movement of one geometric primitive that comprises non-decomposed objects, i.e., a moving point, moving linestring, and moving polygon. -If viewed in a 4-dimensional spatio-temporal coordinate system, the temporal geometry is a single continuum. -A moving point, linestring, and polygon is a spatio-temporal curve, surface, and solid, respectively. -Their JSON representation is as follows. - -[source, json] -{ - ..., - "temporalGeometry": { - "type": "MovingPoint | MovingLineString | MovingPolygon", // (REQUIRED) vbar | as a means to select ONE type. - "coordinates": [...], //(REQUIRED) - "datetimes" : [...], //(REQUIRED) - "interpolations": [...] //(REQUIRED) - }, - ... -} - - -- `"type"`: A case-sensitive string that is one of `"MovingPoint"`, `"MovingLineString"`, and `"MovingPolygon"`. - -- `"coordinates"`: The object SHALL be a list of leaf geometric primitives (points, linestrings, polygons) at times. The number of elements is same as the `"datetimes"` ones with a temporal order. -There is an one-to-one correspondence between the elements of `"coordinates"` and `"datetimes"` as a temporal sequence of pairs latexmath:[(g,t)], where latexmath:[g] is a leaf geometry and latexmath:[t] is its sampling time. - -+ - -[width="99%", cols="1,^7,2", options="header"] -|========= -| Types | Formats of the `"coordinates"` object | _Comments_ -| MovingPoint | [ [x1,y1(,z1)], [x2,y2(,z2)], ... ] | _a list of points at each leaf, increasing time order_ -| MovingLineString | [ [[x11,y11(,z11)], [x12,y12(,z12)], ...], [[x21,y21(,z21)], [x22,y22(,z22)], ...], ... ] | _a list of linestrings at each leaf, increasing time order_ -| MovingPolygon | [ [[[ox11,oy11(,oz11)], [ox12,oy12(,oz12)], ...], [[ix11,iy11(,iz11)],[ix12,iy12(,iz12)], ...],...], [[[ox21,oy21(,oz21)], [ox22,oy22(,oz22)], ...], [[ix21,iy21(,iz21)],[ix22,iy22(,iz22)], ...], ...], ... ] | _a list of polygons at each leaf, increasing time order_ -|========= - -[NOTE] -https://www.rfc-editor.org/info/rfc7946[[IETF GeoJSON format]] A position is represented by an array of numbers, which must contain two or more elements. The first two elements are longitude/easting (x) and latitude/northing (y), precisely in that order and using decimal numbers. Altitude/elevation (z) MAY be included as an optional third element. - -- `"datetimes"`: The object SHALL be a list of time instants encoded as a character string of [ISO 8601:2004](http://www.iso.org/iso/home/standards/iso8601.htm) date-time formatter in chronological order, which does not allow duplicates. - -+ - -[width="99%", cols="1,^6,3", options="header"] -|========= -| Types | Formats the `"datetimes"` object | _Comments_ -|http://www.w3.org/TR/xmlschema11-2/#dateTime[DateTime] | ["yyyy-MM-dd'T'HH:mm:ss'Z'", "yyyy-MM-dd'T'HH:mm:ss'Z'", ...]| _a list of monotonic increasing instants_ -|========= - -- `"interpolations"`: The object SHALL be a JSON array of interpolation methods. -http://mathworld.wolfram.com/Interpolation.html[Interpolation] is a method of finding new values for any function using the given set of values. -Here, the interpolation object approximates geographic positions at non sampling time instants for constructing the trajectory or prism of a moving feature in a spatiotemporal domain. -The unknown position at a particular time can be found using many interpolation methods. -In this practice, there are two expressions for an instance of interpolation methods: Predefined Interpolation Methods and Interpolation Formulas. - -+ - -.[Predefined Interpolation Methods] -A predefined method SHALL be a case-sensitive string of one of `"Discrete"`, `"Stepwise"`, `"Linear"`, and `"Spline"`. -The new position is differently derived by each method. -For the predefined method, there is the restriction of the same number positions of all leaf geometries. - -+ - -[width="99%", cols="1,^5,3", options="header"] -|========= -| Types | Descriptions | _Comments_ -| Discrete | image:discrete.png[Discrete, pdfwidth=80%, width=70%] | _There is no interpolation position between two successive positions._ -| Stepwise | image:stepwise.png[Stepwise, pdfwidth=80%, width=70%] | _The interpolation position between two successive positions equals to the first position._ -| Linear | image:linear.png[Linear, pdfwidth=80%, width=70%] | _The new position is found from the linear interpolation formula with the two successive positions. *Default_ -| Spline | image:spline.png[Spline, pdfwidth=80%, width=70%] | _An interpolation position is derived from a cubic spline function on each interval between data positions._ -|========= - -+ - -[source, javascript] -{ - "type": "MovingPoint", - "coordinates": [ [100.0, 0.0], [101.0, 0.0], [101.0, 1.0]], - "datetimes": ["2011-07-14T22:01:01Z", "2011-07-14T23:01:01Z", "2011-07-15T00:01:01Z"], - "interpolations": ["Linear"] // an interpolation method during the period of datetimes -} - -[NOTE] -If a moving feature needs different predefined interpolation methods for several sub-intervals of time during its lifespan, -this practice recommends the use of user-defined interpolation formulas corresponding to each sub-interval. - - -.[Interpolation Formulas] -A temporal geometry MAY have a several interpolation formulas within its temporal domain. An element of interpolation formulas SHALL be represented by two members of `"coefficients"` and `"period"`. -The new geographical position at a given time position is derived from a `"coefficients"` instance as a multidimensional array of *polynomial interpolation formulas* of latexmath:[(x, y, z)] coordinates during a particular time period. -If a time position does not belong to any time period of the elements of formula, there is no interpolation position at that time. -The order of arrays for the interpolation formula of a temporal position SHALL follow latexmath:[x] (longitude), latexmath:[y] (latitude), latexmath:[z] (altitude) order. -The time periods between any two elements of formulas only allows empty or 0-dimensional intersection. -This practice converts the time position to a signed 64-bit integer(long) value that represents milliseconds for computing a value of each axis of coordinates at an arbitrary time position formatted by a character string of [ISO 8601:2004]. - -[latexmath] -+++++++++++ -[x(t) = a_{n-1}t^{n-1} + a_{n-2}t^{n-2} + ... + a_0t^0] -+++++++++++ -[latexmath] -+++++++++++ -[y(t) = b_{n-1}t^{n-1} + b_{n-2}t^{n-2} + ... + b_0t^0] -+++++++++++ -[latexmath] -+++++++++++ -[z(t) = c_{n-1}t^{n-1} + c_{n-2}t^{n-2} + ... + c_0t^0] -+++++++++++ - -[source, javascript] -{ - "type": "MovingPoint", - "coordinates": ..., - "datetimes": ..., - "interpolations": [ - { - "coefficients": [[1.0, 3.0, 4.1], [2.0, 2.1, 3.0]], - // x = 1.0*t^2 + 3.0*t + 4.1 , y = 2.0*t^2 + 2.1*t + 3.0 - "period": { - "begin": "2011-07-14T22:01:01Z", - "end" : "2011-07-14T23:01:01Z" - } - }, - { - "coefficients": [[4.0, 2.0], [1.0, 2.0]], - // x = 4.0*t + 2.0 , y = 1.0*t + 2.0 - "period": { - "begin": "2011-07-14T23:01:01Z", - "end" : "2011-07-15T00:01:01Z" - } - } - ] -} - - -[source, javascript] -{ - "type": "MovingLineString", - "coordinates": ..., - "datetimes": ..., - "interpolations": [ - { - "coefficients": [[[1.0, 3.0, 4.1], [2.0, 2.1, 3.0]], [[2.0, 1.0, 1.2], [1.0, 0.1, 2.0]]], - // x1 = 1.0*t^2 + 3.0*t + 4.1 , y1 = 2.0*t^2 + 2.1*t + 3.0 - // x2 = 2.0*t^2 + 1.0*t + 1.2 , y2 = 1.0*t^2 + 0.1*t + 2.0 - "period": { - "begin": "2011-07-14T22:01:01Z", - "end" : "2011-07-14T23:01:01Z" - } - }, - { - "coefficients": [[[4.0, 2.0], [1.0, 2.0]], [[2.0, 3.0], [2.0, 1.0]]], - // x1 = 4.0*t + 2.0 , y1 = 1.0*t + 2.0 - // x2 = 2.0*t + 3.0 , y2 = 2.0*t + 1.0 - "period": { - "begin": "2011-07-14T23:01:01Z", - "end" : "2011-07-15T00:01:01Z" - } - } - ] -} - - -[#collection] -==== Collection of Temporal Geometries - -The collection form of temporal geometry instances is a JSON object with two REQUIRED fields: `"type"` and `"members"`. - -[source, json] -{ - ... - "temporalGeometry": { - "type": "MultiMovingPoint | MultiMovingLineString | MultiMovingPolygon | MovingGeometryCollection", - "members": [ - { - // Simple temporal geometry instance - "type": "MovingPoint | MovingLineString | MovingPolygon", - "coordinates": [...], // COORDINATES expression - "datetimes" : [...], // DATETIMES expression - "interpolations": [...] // INTERPOLATIONS expression - } - ] - }, - ... -} - - -- `"type"`: A case-sensitive string that is one of `"MultiMovingPoint"`, `"MultiMovingLineString"`, `"MultiMovingPolygon"`, and `"MovingGeometryCollection"`. - -- `"members"`: The object is encoded as a JSON array of instances of temporal geometry where each element is encoded in simple form. - ** *MultiMovingPoint*: The elements of the `"members"` object SHALL be instances of type `"MovingPoint"`. The leaf geometry at a time position is an instance of type "MultiPoint", which is the union of each leaf of moving point members at the same time. - ** *MultiMovingLineString*: The elements of the `"members"` object SHALL be instances of type `"MovingLineString"`. The leaf geometry at a time position is an instance of type "MultiLineString", which is the union of each leaf of moving linestring members at the same time. - ** *MultiMovingPolygon*: The element of the `"members"` object SHALL be instances of type `"MovingPolygon"`. The leaf geometry at a time position is an instance of type "MultiPolygon", which is the union of each leaf of moving polygon members at the same time. - ** *MovingGeometryCollection*: Each element of the `"members"` object can be an instance of different moving types. The leaf geometry at a time position is an instance of type `"GeometryCollection"`, which is the union of each leaf of any temporal geometries at the same time. - - -[#tproperties] -=== Temporal Properties - -A moving feature can have more than zero time-varying properties, such as the velocity of vehicles or the wind speed of hurricanes. -A temporal property represents a dynamic measure that the result of ascertaining the value of a characteristic of a moving feature that changes over time and/or location. -Even though the value of temporal property depends on the spatiotemporal location, this document only considers the temporal dependencies of their changes of value. - -[NOTE] -If a property has a static value, it is represented with the "properties" member as same as GeoJSON. - - -[source, json] -{ - ..., - "temporalProperties": [ - { // a collection of temporal properties which are measured at the same times - "datetimes": [...], //(REQUIRED) JSON Array of time instances in order, which does not allow duplicates. - "_property0_": { // _property0_ whose name is defined by an application - "uom": ..., //(REQUIRED) a predefined string or URI - "values": [...], //(REQUIRED) a JSON Array of values - "interpolations": [...],//(REQUIRED) a JSON Array of interpolation methods - "description": "any string" //(OPTIONAL) - }, - "_property1_": { // _property1_ whose name is defined by an application - "uom": ..., //(REQUIRED) a predefined string or URI - "values": [...], //(REQUIRED) a JSON Array of values - "interpolations": [...],//(REQUIRED) a JSON Array of interpolation methods - "description": "any string" //(OPTIONAL) a JSON string - }, - ... - }, - { // another collection of dynamic properties which are measured at the same times - "datetimes": [...], - "_property2_": {...}, - "_property3_": {...} - } - ], - ... -} - - -The `temporalProperties` is a JSON array of collections of temporal properties whose results are ascertained at the same times. -A collection of temporal properties SHALL have one "datetimes" member and more than one _property_ member whose name is defined by an application. -However, the value of the _property_ member SHALL be a JSON object that has the following fields: - -* `"uom"`: A unit of measure is a quantity adopted as a standard of measurement [ISO 19103:2015]. The unit of a temporal property is represented as a URI denoting a unit-of-measure defined in a web resource or a predefined strings. This practice defines the following unit strings. - -[width="99%", cols="2,8", options="header"] -|========= -| Unit strings | Descriptions -| _print symbols_ | From the Unified Code for Units of Measure (UCUM)<<1>> -| null | The `"values"` member contains counting measures. -| text | The `"values"` member contains any strings. -| image| The `"values"` member contains Base64 strings converted from images. -|========= - -* `"values"`: Each element of values is a string, number, null, or one of the literals: true and false. The number of elements is the same as the "datetimes" ones. There is an one-to-one correspondence between the elements of `"values"` of a _property_ object and `"datetimes"` as a temporal sequence of pairs latexmath:[(v,t)], where latexmath:[v] is a value of measurement and latexmath:[t] is its sampling time. - -[NOTE] -If the values of a temporal property are measured at different times of `"datetimes"`, each SHALL be represented as a new element in the JSON array. - -* `"interpolations"`: The temporal property also needs to define an interpolation method like the temporal geometry. -The object SHALL be a JSON array of interpolation methods whose instance is a pre-defined interpolation methods of `"Discrete"`, `"Stepwise"`, `"Linear"`(default), and `"Spline"`, or an interpolation formula used for polynomial interpolation in time. - -[source, json] -{ - ..., - "temporalProperties" : [ - { - "datetimes" : [ "2017-03-13T01:00:00Z", "2017-03-13T02:00:00Z", "2017-03-13T03:00:00Z", "2017-03-13T04:00:00Z", "2017-03-13T05:00:00Z", "2017-03-13T06:00:00Z", "2017-03-13T07:00:00Z", "2017-03-13T08:00:00Z", "2017-03-13T09:00:00Z", "2017-03-13T10:00:00Z", "2017-03-13T11:00:00Z", "2017-03-13T12:00:00Z", "2017-03-13T13:00:00Z", "2017-03-13T14:00:00Z", "2017-03-13T15:00:00Z", "2017-03-13T16:00:00Z", "2017-03-13T17:00:00Z", "2017-03-13T18:00:00Z", "2017-03-13T19:00:00Z", "2017-03-13T20:00:00Z", "2017-03-13T21:00:00Z", "2017-03-13T22:00:00Z", "2017-03-13T23:00:00Z", "2017-03-13T24:00:00Z" ], - "NO2" : { - "uom" : "ppm", - "values" : [ 0.018, 0.013, 0.013, 0.014, 0.021, 0.034, 0.036, 0.047, 0.059, 0.052, 0.042, 0.031, 0.024, 0.02, 0.023, 0.022, 0.027, 0.025, 0.029, 0.03, 0.024, 0.02, 0.018, 0.016 ], - "interpolations" : [ "Stepwise" ] - }, - "NO" : { - "uom" : "ppm", - "values" : [ 0.001, 0.001, 0.001, 0.002, 0.002, 0.006, 0.012, 0.056, 0.085, 0.06, 0.039, 0.024, 0.013, 0.01, 0.009, 0.009, 0.009, 0.007, 0.007, 0.006, 0.005, 0.004, 0.003, 0.003 ], - "interpolations" : [ "Linear" ] - } - }, - { - "datetimes" : [ "2017-03-13T01:00:00Z", "2017-03-13T03:00:00Z", "2017-03-13T04:00:00Z", "2017-03-13T05:00:00Z", "2017-03-13T06:00:00Z", "2017-03-13T07:00:00Z", "2017-03-13T08:00:00Z", "2017-03-13T09:00:00Z", "2017-03-13T10:00:00Z", "2017-03-13T11:00:00Z", "2017-03-13T12:00:00Z", "2017-03-13T13:00:00Z", "2017-03-13T14:00:00Z", "2017-03-13T15:00:00Z", "2017-03-13T16:00:00Z", "2017-03-13T17:00:00Z", "2017-03-13T18:00:00Z", "2017-03-13T19:00:00Z", "2017-03-13T20:00:00Z", "2017-03-13T21:00:00Z", "2017-03-13T22:00:00Z", "2017-03-13T23:00:00Z", "2017-03-13T24:00:00Z" ], - "CH4" : { - "uom" : "ppmC", - "values" : [ 1.97, 1.98, 1.97, 2.01, 2.19, 2.13, 2.06, 2.21, 2.14, 2.08, 2.04, 1.99, 1.97, 1.96, 1.95, 1.95, 1.96, 1.96, 1.97, 1.96, 1.95, 1.95, 1.95 ], - "interpolations" : [ "Discrete" ] - }, - "THC" : { - "uom" : "ppmC", - "values" : [ 2.09, 2.05, 2.05, 2.09, 2.33, 2.26, 2.22, 2.45, 2.35, 2.25, 2.18, 2.09, 2.04, 2.04, 2.03, 2.02, 2.03, 2.05, 2.08, 2.06, 2.03, 2.03, 2.03 ], - "interpolations" : [ // The function is an example, no sense of working - { - "coefficients": [1.0, 3.0, 4.1], // v = at^2 + bt + c - "period": { - "begin": "2017-03-13T01:00:00Z", - "end" : "2017-03-13T05:00:00Z" - } - }, - { - "coefficients": [5.0, 8.0], // v = at + b - "period": { - "begin": "2017-03-13T05:00:00Z", - "end" : "2017-03-13T24:00:00Z" - } - } - }, - } - ], - ... -} - -* `"description"`: A temporal property can have an optional member to describe a short description. - - -[#stbox] -=== Spatiotemporal Bounding Box - -A moving feature may have a member named `"stBoundedBy"`, which indicates the boundary containing moving features in a spatiotemporal domain. To represent information on the coordinate range for moving features, this MF-JSON format follows GeoJSON's `"bbox"` field. -The value of the bbox member is a 2*n array where n is the number of dimensions. -The temporal boundary is a temporal period of `"begin"` and `"end"` expressed in ISO 8601:2004. - -[source, json] -{ - ..., - "stBoundedBy": { - "bbox": [-10.0, -10.0, 10.0, 10.0], - "period": { - "begin": "1994-11-05T13:15:30Z", - "end" : "1994-11-05T13:15:30Z" - } - }, - ... -} - -=== Application Domain Variables (Foreign Members) - -MF-JSON uses annotations to represent foreign members which are not described in this document and whose semantics are dependent on a domain or application specific requirement. -For this reason, MF-JSON defines foreign elements by extending the foreign member of GeoJSON. -For a name/value pair of a foreign member, the name always starts with the at sign (@), such as `"@id"`, `"@context"`, and so on. - -=== Discussions - -[NOTE] -.Coordinate Reference System -https://www.ietf.org/rfc/rfc7946.txt[The IETF GeoJSON format] recommends a single coordinate reference system based on WGS84<<2>>. -In this version of MF-JSON, CRSs are fixed to WGS84 for space and ISO 8601:2004 for time; however, the coordinate reference systems need to be indicated in the case of an application request. -If the application requires an alternative CRS, the CRS of a GeoJSON object can be represented with its "crs" field as described in GeoJSON(2008)<<3>>. - -[NOTE] -.Circular Temporal Geometry -Some applications, such as the predication of hurricanes, need to represent a time-varying circular object. https://www.ietf.org/rfc/rfc7946.txt[The IETF GeoJSON format] excludes the circular types such as Circle or Ellipse. -No type for "Circle" and "Ellipse" is defined in this version of MF-JSON. - -[NOTE] -.Geometry Object -A moving feature may have a member named `"geometry"`, which may represent its projection in coordinate space as points, curves, or surfaces. The representation of Geometry objects is same as GeoJSON. +[#data_format,reftext='6'] +== JSON Encoding + +This clause specifies the data format for encoding moving features by using JSON objects. + + +=== Overview + +Moving Features JSON (MF-JSON) defines new fields by extending "foreign members" of https://www.ietf.org/rfc/rfc7946.txt[GeoJSON] [IETF RFC 7946]. +MF-JSON provides several types of JSON objects to represent geographical movements, dynamic properties, and spatiotemporal extents of moving features, +based on the two reference systems of World Geodetic System 1984 (WGS84) and Coordinated Universal Time (UTC). However, the MF-JSON object may have the "crs" member +to describe its local or global coordinate reference system (CRS). + +[NOTE] +In https://www.ietf.org/rfc/rfc7946.txt[IETF GeoJSON format], types are not extensible. +GeoJSON allows only the fixed types: FeatureCollection, Feature, Point, LineString, MultiPoint, Polygon, MultiLineString, MultiPolygon, and GeometryCollection. +For the compatibility with GeoJSON, MF-JSON reserves new members of the geometric description of feature movement and the change of non-spatial attributes of features. + + +// (Despite compliant GeoJSON not permitting extension of types, this document extends new types for representing moving features with time-varying geometries and properties. + + +<> compares the difference of members between GeoJSON and MF-JSON. + +[#mf_overview,reftext='{figure-caption} {counter:figure-num}'] +.JSON Objects in the Moving Features JSON format +image::mfjson.png[Overview, pdfwidth=55%, width=55%, align="center"] +// image::mf-overview.png[Overview, pdfwidth=55%, width=55%, align="center"] s + + +[source, javascript] +.Example 6.1: +{ + "type": "MovingFeature", //(REQUIRED) Moving Feature Type + "temporalGeometry": { //(REQUIRED) temporal geometric object, extended from 'geometry' + "type": "MovingPoint", // a geometry type to represent a trajectory + "coordinates": [ [100.0, 0.0], [101.0, 0.0], [101.0, 1.0], [100.0, 1.0] ], + "datetimes": ["2011-07-14T22:01:01Z", "2011-07-14T23:01:01Z", "2011-07-15T00:01:01Z", "2011-07-15T01:01:01Z"], + "interpolations": ["Linear"] // a pre-defined interpolation method between two consecutive instants in the "datetimes" field + }, + "temporalProperties": [ //(OPTIONAL) dynamic non-spatial attributes, extended from 'properties' + { // a group of temporal properties that are measured at the same times + "datetimes": ["2011-07-14T22:01:01Z", "2011-07-14T23:01:01Z", "2011-07-15T00:01:01Z"], + "length": { + "uom": "http://www.qudt.org/qudt/owl/1.0.0/quantity/Length", // a URI denoting a unit-of-measure + "values": [1.0, 2.4, 1.0], // the array of values for "length", with the same number of elements as "datetimes" + "interpolations": ["Stepwise"], + "description": "description1" //(OPTIONAL) + }, + "message":{ + "uom": "text", // a predefined unit for a string value + "values": ["A", "B", "C"], // the array of values for "message", with the same number of elements as "datetimes" + "interpolations": ["Discrete"], + "description": "description2" //(OPTIONAL) + } + }, + { + "datetimes" : ["2011-07-14T22:02:01Z", "2011-07-15T01:11:22Z"], + "discharge" : { + "uom" : "m^3/s", // a symbol from UCUM + "values" : [3.0, 4.0], + "interpolations": [ // two user-defined interpolations having two sub-time intervals + { + "coefficients": [1.0, 3.0, 4.1], // v = 1.0t^2 + 3.0t + 4.1 + "period": { + "begin": "2011-07-14T22:02:01Z", + "end" : "2011-07-14T23:11:14Z" + } + }, + { + "coefficients": [5.0, 8.2], // v = 5.0t + 8.2 + "period": { + "begin": "2011-07-14T23:11:14Z", + "end" : "2011-07-15T01:11:22Z" + } + } + ], + "description": "it has two user-defined interpolations" //(OPTIONAL) + } + } + ], + "stBoundedBy": { //(OPTIONAL) spatiotemporal bounding box to include the moving feature + "bbox": [100.0, 0.0, 101.0, 1.0], + "period": { + "begin": "2011-07-14T22:01:00Z", + "end" : "2011-07-15T21:14:00Z" + } + }, + "properties": { //(OPTIONAL) static non-spatial attributes regardless of time: the same representation of GeoJSON + "name": "bus1", + "state":"test1" + } +} + + +=== Moving Features + +In the MF-JSON format, two moving feature types are added as follows: + +- *MovingFeature*: a JSON object to represent a moving feature instance, having two REQUIRED members of `"type"` and `"temporalGeometry"`, and three OPTIONAL members of `"temporalProperties"`, `"stBoundedBy"`, and `"properties"` depending on the application requirements. + ++ + +[source, javascript] +{ + "type": "MovingFeature", //(REQUIRED) + "temporalGeometry": {...}, //(REQUIRED) + "temporalProperties": [...], //(OPTIONAL) + "stBoundedBy": {...}, //(OPTIONAL) + "properties": {...} //(OPTIONAL) +} + ++ + + ** The value of the `"type"` member SHALL be the string of `"MovingFeature"`. + ** The value of the `"temporalGeometry"` member SHALL be a JSON object as described in <>. An instance of `"MovingFeature"` SHALL only one `"temporalGeometry"` member. + ** The value of the `"temporalProperties"` member SHALL be a JSON array as described in <>. + ** The value of the `"stBoundedBy"` member SHALL be a JSON object as described in <>, representing the spatiotemporal bounding box of the `"temporalGeometry"` instance. + ** The value of the `"properties"` member is an object (any JSON object or a JSON null value). + + +- *MovingFeatureCollection*: a JSON object to represent a collection of moving feature instances, having two REQUIRED members of `"type"` and `"features"` and one OPTIONAL member of `"stBoundedBy"`. + ++ + +[source, javascript] +{ + "type": "MovingFeatureCollection", //(REQUIRED) + "features": [ //(REQUIRED) + { + "type": "MovingFeature", + "temporalGeometry": {...}, + "temporalProperties": [...], + ... + }, + { + "type": "MovingFeature", + "temporalGeometry": {...}, + "temporalProperties": [...], + ... + } + ], + "stBoundedBy": {...} //(OPTIONAL) +} + ++ + + ** The value of the `"type"` member SHALL be the string of `"MovingFeatureCollection"`. + ** The value of the `"features"` member SHALL be a JSON array of moving feature instances as described in <>. + ** The value of the `"stBoundedBy"` member SHALL be a JSON object as described in <>, representing the spatiotemporal bounding box to cover all of the `"temporalGeometry"` instances in the `"features"` elements. + + +[#tgeometry] +=== Temporal Geometries + +The value of `"temporalGeometry"` member of a moving feature SHALL be a JSON object where the value of the `"type"` member is one of the following strings: `"MovingPoint"`, `"MovingLineString"`, `"MovingPolygon"`, `"MultiMovingPoint"`, `"MultiMovingLineString"`, `"MultiMovingPolygon"`, and `"MovingGeometryCollection"`. +A temporal geometry is conceptualized as a prism of the set of points contained in all of the leaves (a foliation) and trajectories, representing the geographical movement of a moving feature. +The temporal geometry is mathematically modeled as a mapping function from time to a geometric object: *_temporalGeometry: timePosition -> Geometry_* (http://geojson.org/geojson-spec.html#point[Point], http://geojson.org/geojson-spec.html#linestring[LineString], http://geojson.org/geojson-spec.html#polygon[Polygon], +http://geojson.org/geojson-spec.html#multipoint[MultiPoint], http://geojson.org/geojson-spec.html#multilinestring[MultiLineString], http://geojson.org/geojson-spec.html#multipolygon#polygon[MultiPolygon], or http://geojson.org/geojson-spec.html#geometry-collection[GeometryCollection]). + +- *MovingPoint*: A temporal geometry represents the trajectory of a time-parameterized 0-dimensional geometric primitive (Point) representing a single geographic position at a time position (instant) within its temporal domain. Intuitively, this type depicts a set of curves in a spatiotemporal domain. A MovingPoint is used to express http://docs.opengeospatial.org/is/14-083r2/14-083r2.html#78[mf:AbstractTrajectory] in the OGC Moving Features standard. For example, the movement information of people, vehicles, or hurricanes can be shared by instances of the `"MovingPoint"` type. + +- *MovingLineString*: A temporal geometry represents the prism of a time-parameterized 1-dimensional (1D) geometric primitive (LineString) whose leaf at a time position is 1-dimensional linear object in a particular time period. Intuitively this type depicts a set of surfaces in a spatiotemporal domain. For example, the movement information of weather fronts or traffic congestion on roads can be shared by instances of the `"MovingLineString"` type. + +- *MovingPolygon*: A temporal geometry represents the prism of a time-parameterized 2-dimensional (2D) geometric primitive (Polygon) whose leaf at a time position is 2-dimensional polygonal object in a particular time period. Intuitively this type depicts a set of polyhedrons that are the convex hulls of two congruent polygons in a spatiotemporal domain. For example, the changes of flooding areas or the movement information of air pollution can be shared by instances of the `"MovingPolygon"` type. + +- *MultiMovingPoint*: A temporal geometry represents a set of moving points. + +- *MultiMovingLineString*: A temporal geometry represents a set of moving linestrings. + +- *MultiMovingPolygon*: A temporal geometry represents a set of moving polygons. + +- *MovingGeometryCollection*: Represents a collection of temporal geometries that have time-varing locations. Each element in the collection belongs to one of the above types. + + +This practice defines two encoding mthods for a temporal geometry instance: simple and collection form. + +[#simple] +==== Simple Temporal Geometries + +The simple form of temporal geometry instances is a JSON object with four REQUIRED members: `"type"`, `"coordinates"`, `"datetimes"`, and `"interpolations"`. +The simple form represents the movement of one geometric primitive that comprises non-decomposed objects, i.e., a moving point, moving linestring, and moving polygon. +If viewed in a 4-dimensional spatio-temporal coordinate system, the temporal geometry is a single continuum. +A moving point, linestring, and polygon is a spatio-temporal curve, surface, and solid, respectively. +Their JSON representation is as follows. + +[source, json] +{ + ..., + "temporalGeometry": { + "type": "MovingPoint | MovingLineString | MovingPolygon", // (REQUIRED) vbar | as a means to select ONE type. + "coordinates": [...], //(REQUIRED) + "datetimes" : [...], //(REQUIRED) + "interpolations": [...] //(REQUIRED) + }, + ... +} + + +- `"type"`: A case-sensitive string that is one of `"MovingPoint"`, `"MovingLineString"`, and `"MovingPolygon"`. + +- `"coordinates"`: The object SHALL be a list of leaf geometric primitives (points, linestrings, polygons) at times. The number of elements is same as the `"datetimes"` ones with a temporal order. +There is an one-to-one correspondence between the elements of `"coordinates"` and `"datetimes"` as a temporal sequence of pairs latexmath:[(g,t)], where latexmath:[g] is a leaf geometry and latexmath:[t] is its sampling time. + ++ + +[width="99%", cols="1,^7,2", options="header"] +|========= +| Types | Formats of the `"coordinates"` object | _Comments_ +| MovingPoint | [ [x1,y1(,z1)], [x2,y2(,z2)], ... ] | _a list of points at each leaf, increasing time order_ +| MovingLineString | [ [[x11,y11(,z11)], [x12,y12(,z12)], ...], [[x21,y21(,z21)], [x22,y22(,z22)], ...], ... ] | _a list of linestrings at each leaf, increasing time order_ +| MovingPolygon | [ [[[ox11,oy11(,oz11)], [ox12,oy12(,oz12)], ...], [[ix11,iy11(,iz11)],[ix12,iy12(,iz12)], ...],...], [[[ox21,oy21(,oz21)], [ox22,oy22(,oz22)], ...], [[ix21,iy21(,iz21)],[ix22,iy22(,iz22)], ...], ...], ... ] | _a list of polygons at each leaf, increasing time order_ +|========= + +[NOTE] +https://www.rfc-editor.org/info/rfc7946[[IETF GeoJSON format]] A position is represented by an array of numbers, which must contain two or more elements. The first two elements are longitude/easting (x) and latitude/northing (y), precisely in that order and using decimal numbers. Altitude/elevation (z) MAY be included as an optional third element. + +- `"datetimes"`: The object SHALL be a list of time instants encoded as a character string of [ISO 8601:2004](http://www.iso.org/iso/home/standards/iso8601.htm) date-time formatter in chronological order, which does not allow duplicates. + ++ + +[width="99%", cols="1,^6,3", options="header"] +|========= +| Types | Formats the `"datetimes"` object | _Comments_ +|http://www.w3.org/TR/xmlschema11-2/#dateTime[DateTime] | ["yyyy-MM-dd'T'HH:mm:ss'Z'", "yyyy-MM-dd'T'HH:mm:ss'Z'", ...]| _a list of monotonic increasing instants_ +|========= + +- `"interpolations"`: The object SHALL be a JSON array of interpolation methods. +http://mathworld.wolfram.com/Interpolation.html[Interpolation] is a method of finding new values for any function using the given set of values. +Here, the interpolation object approximates geographic positions at non sampling time instants for constructing the trajectory or prism of a moving feature in a spatiotemporal domain. +The unknown position at a particular time can be found using many interpolation methods. +In this practice, there are two expressions for an instance of interpolation methods: Predefined Interpolation Methods and Interpolation Formulas. + ++ + +.[Predefined Interpolation Methods] +A predefined method SHALL be a case-sensitive string of one of `"Discrete"`, `"Stepwise"`, `"Linear"`, and `"Spline"`. +The new position is differently derived by each method. +For the predefined method, there is the restriction of the same number positions of all leaf geometries. + ++ + +[width="99%", cols="1,^5,3", options="header"] +|========= +| Types | Descriptions | _Comments_ +| Discrete | image:discrete.png[Discrete, pdfwidth=80%, width=70%] | _There is no interpolation position between two successive positions._ +| Stepwise | image:stepwise.png[Stepwise, pdfwidth=80%, width=70%] | _The interpolation position between two successive positions equals to the first position._ +| Linear | image:linear.png[Linear, pdfwidth=80%, width=70%] | _The new position is found from the linear interpolation formula with the two successive positions. *Default_ +| Spline | image:spline.png[Spline, pdfwidth=80%, width=70%] | _An interpolation position is derived from a cubic spline function on each interval between data positions._ +|========= + ++ + +[source, javascript] +{ + "type": "MovingPoint", + "coordinates": [ [100.0, 0.0], [101.0, 0.0], [101.0, 1.0]], + "datetimes": ["2011-07-14T22:01:01Z", "2011-07-14T23:01:01Z", "2011-07-15T00:01:01Z"], + "interpolations": ["Linear"] // an interpolation method during the period of datetimes +} + +[NOTE] +If a moving feature needs different predefined interpolation methods for several sub-intervals of time during its lifespan, +this practice recommends the use of user-defined interpolation formulas corresponding to each sub-interval. + + +.[Interpolation Formulas] +A temporal geometry MAY have a several interpolation formulas within its temporal domain. An element of interpolation formulas SHALL be represented by two members of `"coefficients"` and `"period"`. +The new geographical position at a given time position is derived from a `"coefficients"` instance as a multidimensional array of *polynomial interpolation formulas* of latexmath:[(x, y, z)] coordinates during a particular time period. +If a time position does not belong to any time period of the elements of formula, there is no interpolation position at that time. +The order of arrays for the interpolation formula of a temporal position SHALL follow latexmath:[x] (longitude), latexmath:[y] (latitude), latexmath:[z] (altitude) order. +The time periods between any two elements of formulas only allows empty or 0-dimensional intersection. +This practice converts the time position to a signed 64-bit integer(long) value that represents milliseconds for computing a value of each axis of coordinates at an arbitrary time position formatted by a character string of [ISO 8601:2004]. + +[latexmath] ++++++++++++ +[x(t) = a_{n-1}t^{n-1} + a_{n-2}t^{n-2} + ... + a_0t^0] ++++++++++++ +[latexmath] ++++++++++++ +[y(t) = b_{n-1}t^{n-1} + b_{n-2}t^{n-2} + ... + b_0t^0] ++++++++++++ +[latexmath] ++++++++++++ +[z(t) = c_{n-1}t^{n-1} + c_{n-2}t^{n-2} + ... + c_0t^0] ++++++++++++ + +[source, javascript] +{ + "type": "MovingPoint", + "coordinates": ..., + "datetimes": ..., + "interpolations": [ + { + "coefficients": [[1.0, 3.0, 4.1], [2.0, 2.1, 3.0]], + // x = 1.0*t^2 + 3.0*t + 4.1 , y = 2.0*t^2 + 2.1*t + 3.0 + "period": { + "begin": "2011-07-14T22:01:01Z", + "end" : "2011-07-14T23:01:01Z" + } + }, + { + "coefficients": [[4.0, 2.0], [1.0, 2.0]], + // x = 4.0*t + 2.0 , y = 1.0*t + 2.0 + "period": { + "begin": "2011-07-14T23:01:01Z", + "end" : "2011-07-15T00:01:01Z" + } + } + ] +} + + +[source, javascript] +{ + "type": "MovingLineString", + "coordinates": ..., + "datetimes": ..., + "interpolations": [ + { + "coefficients": [[[1.0, 3.0, 4.1], [2.0, 2.1, 3.0]], [[2.0, 1.0, 1.2], [1.0, 0.1, 2.0]]], + // x1 = 1.0*t^2 + 3.0*t + 4.1 , y1 = 2.0*t^2 + 2.1*t + 3.0 + // x2 = 2.0*t^2 + 1.0*t + 1.2 , y2 = 1.0*t^2 + 0.1*t + 2.0 + "period": { + "begin": "2011-07-14T22:01:01Z", + "end" : "2011-07-14T23:01:01Z" + } + }, + { + "coefficients": [[[4.0, 2.0], [1.0, 2.0]], [[2.0, 3.0], [2.0, 1.0]]], + // x1 = 4.0*t + 2.0 , y1 = 1.0*t + 2.0 + // x2 = 2.0*t + 3.0 , y2 = 2.0*t + 1.0 + "period": { + "begin": "2011-07-14T23:01:01Z", + "end" : "2011-07-15T00:01:01Z" + } + } + ] +} + + +[#collection] +==== Collection of Temporal Geometries + +The collection form of temporal geometry instances is a JSON object with two REQUIRED fields: `"type"` and `"members"`. + +[source, json] +{ + ... + "temporalGeometry": { + "type": "MultiMovingPoint | MultiMovingLineString | MultiMovingPolygon | MovingGeometryCollection", + "members": [ + { + // Simple temporal geometry instance + "type": "MovingPoint | MovingLineString | MovingPolygon", + "coordinates": [...], // COORDINATES expression + "datetimes" : [...], // DATETIMES expression + "interpolations": [...] // INTERPOLATIONS expression + } + ] + }, + ... +} + + +- `"type"`: A case-sensitive string that is one of `"MultiMovingPoint"`, `"MultiMovingLineString"`, `"MultiMovingPolygon"`, and `"MovingGeometryCollection"`. + +- `"members"`: The object is encoded as a JSON array of instances of temporal geometry where each element is encoded in simple form. + ** *MultiMovingPoint*: The elements of the `"members"` object SHALL be instances of type `"MovingPoint"`. The leaf geometry at a time position is an instance of type "MultiPoint", which is the union of each leaf of moving point members at the same time. + ** *MultiMovingLineString*: The elements of the `"members"` object SHALL be instances of type `"MovingLineString"`. The leaf geometry at a time position is an instance of type "MultiLineString", which is the union of each leaf of moving linestring members at the same time. + ** *MultiMovingPolygon*: The element of the `"members"` object SHALL be instances of type `"MovingPolygon"`. The leaf geometry at a time position is an instance of type "MultiPolygon", which is the union of each leaf of moving polygon members at the same time. + ** *MovingGeometryCollection*: Each element of the `"members"` object can be an instance of different moving types. The leaf geometry at a time position is an instance of type `"GeometryCollection"`, which is the union of each leaf of any temporal geometries at the same time. + + +[#tproperties] +=== Temporal Properties + +A moving feature can have more than zero time-varying properties, such as the velocity of vehicles or the wind speed of hurricanes. +A temporal property represents a dynamic measure that the result of ascertaining the value of a characteristic of a moving feature that changes over time and/or location. +Even though the value of temporal property depends on the spatiotemporal location, this document only considers the temporal dependencies of their changes of value. + +[NOTE] +If a property has a static value, it is represented with the "properties" member as same as GeoJSON. + + +[source, json] +{ + ..., + "temporalProperties": [ + { // a collection of temporal properties which are measured at the same times + "datetimes": [...], //(REQUIRED) JSON Array of time instances in order, which does not allow duplicates. + "_property0_": { // _property0_ whose name is defined by an application + "uom": ..., //(REQUIRED) a predefined string or URI + "values": [...], //(REQUIRED) a JSON Array of values + "interpolations": [...],//(REQUIRED) a JSON Array of interpolation methods + "description": "any string" //(OPTIONAL) + }, + "_property1_": { // _property1_ whose name is defined by an application + "uom": ..., //(REQUIRED) a predefined string or URI + "values": [...], //(REQUIRED) a JSON Array of values + "interpolations": [...],//(REQUIRED) a JSON Array of interpolation methods + "description": "any string" //(OPTIONAL) a JSON string + }, + ... + }, + { // another collection of dynamic properties which are measured at the same times + "datetimes": [...], + "_property2_": {...}, + "_property3_": {...} + } + ], + ... +} + + +The `temporalProperties` is a JSON array of collections of temporal properties whose results are ascertained at the same times. +A collection of temporal properties SHALL have one "datetimes" member and more than one _property_ member whose name is defined by an application. +However, the value of the _property_ member SHALL be a JSON object that has the following fields: + +* `"uom"`: A unit of measure is a quantity adopted as a standard of measurement [ISO 19103:2015]. The unit of a temporal property is represented as a URI denoting a unit-of-measure defined in a web resource or a predefined strings. This practice defines the following unit strings. + +[width="99%", cols="2,8", options="header"] +|========= +| Unit strings | Descriptions +| _print symbols_ | From the Unified Code for Units of Measure (UCUM)<<1>> +| null | The `"values"` member contains counting measures. +| text | The `"values"` member contains any strings. +| image| The `"values"` member contains Base64 strings converted from images. +|========= + +* `"values"`: Each element of values is a string, number, null, or one of the literals: true and false. The number of elements is the same as the "datetimes" ones. There is an one-to-one correspondence between the elements of `"values"` of a _property_ object and `"datetimes"` as a temporal sequence of pairs latexmath:[(v,t)], where latexmath:[v] is a value of measurement and latexmath:[t] is its sampling time. + +[NOTE] +If the values of a temporal property are measured at different times of `"datetimes"`, each SHALL be represented as a new element in the JSON array. + +* `"interpolations"`: The temporal property also needs to define an interpolation method like the temporal geometry. +The object SHALL be a JSON array of interpolation methods whose instance is a pre-defined interpolation methods of `"Discrete"`, `"Stepwise"`, `"Linear"`(default), and `"Spline"`, or an interpolation formula used for polynomial interpolation in time. + +[source, json] +{ + ..., + "temporalProperties" : [ + { + "datetimes" : [ "2017-03-13T01:00:00Z", "2017-03-13T02:00:00Z", "2017-03-13T03:00:00Z", "2017-03-13T04:00:00Z", "2017-03-13T05:00:00Z", "2017-03-13T06:00:00Z", "2017-03-13T07:00:00Z", "2017-03-13T08:00:00Z", "2017-03-13T09:00:00Z", "2017-03-13T10:00:00Z", "2017-03-13T11:00:00Z", "2017-03-13T12:00:00Z", "2017-03-13T13:00:00Z", "2017-03-13T14:00:00Z", "2017-03-13T15:00:00Z", "2017-03-13T16:00:00Z", "2017-03-13T17:00:00Z", "2017-03-13T18:00:00Z", "2017-03-13T19:00:00Z", "2017-03-13T20:00:00Z", "2017-03-13T21:00:00Z", "2017-03-13T22:00:00Z", "2017-03-13T23:00:00Z", "2017-03-13T24:00:00Z" ], + "NO2" : { + "uom" : "ppm", + "values" : [ 0.018, 0.013, 0.013, 0.014, 0.021, 0.034, 0.036, 0.047, 0.059, 0.052, 0.042, 0.031, 0.024, 0.02, 0.023, 0.022, 0.027, 0.025, 0.029, 0.03, 0.024, 0.02, 0.018, 0.016 ], + "interpolations" : [ "Stepwise" ] + }, + "NO" : { + "uom" : "ppm", + "values" : [ 0.001, 0.001, 0.001, 0.002, 0.002, 0.006, 0.012, 0.056, 0.085, 0.06, 0.039, 0.024, 0.013, 0.01, 0.009, 0.009, 0.009, 0.007, 0.007, 0.006, 0.005, 0.004, 0.003, 0.003 ], + "interpolations" : [ "Linear" ] + } + }, + { + "datetimes" : [ "2017-03-13T01:00:00Z", "2017-03-13T03:00:00Z", "2017-03-13T04:00:00Z", "2017-03-13T05:00:00Z", "2017-03-13T06:00:00Z", "2017-03-13T07:00:00Z", "2017-03-13T08:00:00Z", "2017-03-13T09:00:00Z", "2017-03-13T10:00:00Z", "2017-03-13T11:00:00Z", "2017-03-13T12:00:00Z", "2017-03-13T13:00:00Z", "2017-03-13T14:00:00Z", "2017-03-13T15:00:00Z", "2017-03-13T16:00:00Z", "2017-03-13T17:00:00Z", "2017-03-13T18:00:00Z", "2017-03-13T19:00:00Z", "2017-03-13T20:00:00Z", "2017-03-13T21:00:00Z", "2017-03-13T22:00:00Z", "2017-03-13T23:00:00Z", "2017-03-13T24:00:00Z" ], + "CH4" : { + "uom" : "ppmC", + "values" : [ 1.97, 1.98, 1.97, 2.01, 2.19, 2.13, 2.06, 2.21, 2.14, 2.08, 2.04, 1.99, 1.97, 1.96, 1.95, 1.95, 1.96, 1.96, 1.97, 1.96, 1.95, 1.95, 1.95 ], + "interpolations" : [ "Discrete" ] + }, + "THC" : { + "uom" : "ppmC", + "values" : [ 2.09, 2.05, 2.05, 2.09, 2.33, 2.26, 2.22, 2.45, 2.35, 2.25, 2.18, 2.09, 2.04, 2.04, 2.03, 2.02, 2.03, 2.05, 2.08, 2.06, 2.03, 2.03, 2.03 ], + "interpolations" : [ // The function is an example, no sense of working + { + "coefficients": [1.0, 3.0, 4.1], // v = at^2 + bt + c + "period": { + "begin": "2017-03-13T01:00:00Z", + "end" : "2017-03-13T05:00:00Z" + } + }, + { + "coefficients": [5.0, 8.0], // v = at + b + "period": { + "begin": "2017-03-13T05:00:00Z", + "end" : "2017-03-13T24:00:00Z" + } + } + }, + } + ], + ... +} + +* `"description"`: A temporal property can have an optional member to describe a short description. + + +[#stbox] +=== Spatiotemporal Bounding Box + +A moving feature may have a member named `"stBoundedBy"`, which indicates the boundary containing moving features in a spatiotemporal domain. To represent information on the coordinate range for moving features, this MF-JSON format follows GeoJSON's `"bbox"` field. +The value of the bbox member is a 2*n array where n is the number of dimensions. +The temporal boundary is a temporal period of `"begin"` and `"end"` expressed in ISO 8601:2004. + +[source, json] +{ + ..., + "stBoundedBy": { + "bbox": [-10.0, -10.0, 10.0, 10.0], + "period": { + "begin": "1994-11-05T13:15:30Z", + "end" : "1994-11-05T13:15:30Z" + } + }, + ... +} + +=== Application Domain Variables (Foreign Members) + +MF-JSON uses annotations to represent foreign members which are not described in this document and whose semantics are dependent on a domain or application specific requirement. +For this reason, MF-JSON defines foreign elements by extending the foreign member of GeoJSON. +For a name/value pair of a foreign member, the name always starts with the at sign (@), such as `"@id"`, `"@context"`, and so on. + +=== Discussions + +[NOTE] +.Coordinate Reference System +https://www.ietf.org/rfc/rfc7946.txt[The IETF GeoJSON format] recommends a single coordinate reference system based on WGS84<<2>>. +In this version of MF-JSON, CRSs are fixed to WGS84 for space and ISO 8601:2004 for time; however, the coordinate reference systems need to be indicated in the case of an application request. +If the application requires an alternative CRS, the CRS of a GeoJSON object can be represented with its "crs" field as described in GeoJSON(2008)<<3>>. + +[NOTE] +.Circular Temporal Geometry +Some applications, such as the predication of hurricanes, need to represent a time-varying circular object. https://www.ietf.org/rfc/rfc7946.txt[The IETF GeoJSON format] excludes the circular types such as Circle or Ellipse. +No type for "Circle" and "Ellipse" is defined in this version of MF-JSON. + +[NOTE] +.Geometry Object +A moving feature may have a member named `"geometry"`, which may represent its projection in coordinate space as points, curves, or surfaces. The representation of Geometry objects is same as GeoJSON. diff --git a/bp/3_rest-api.adoc b/bp/3_rest-api.adoc index 6109604..3d521d6 100755 --- a/bp/3_rest-api.adoc +++ b/bp/3_rest-api.adoc @@ -1,1030 +1,1030 @@ -[#rest_api,reftext='7'] -== RESTful API - -This Clause provides a design example of a RESTful API as a form of service interface to handle moving features on the Web with ease of development and access, as well as being robust and scalable in server/client distributed environments. -In general, Representational State Transfer (REST) focuses on resources and how to access to these resources over Hypertext Transfer Protocol (HTTP). -A few use cases of RESTful approaches for OGC web service interfaces are analyzed in the OGC Testbed 11 REST Interface Engineering Report [OGC 15-052r1]. -OGC supports the use of RESTful interfaces and JSON encodings and this practice refers to the OGC SensorThings API [OGC 15-078r6] standard as a good example for RESTful principles. - -=== General Information -Clients and servers exchange representations of resources via HTTP messages as shown in <>. -Clients send a request against the resources to the server in the form of a HTTP verb, Uniform Resource Identifier (URI), protocol version, and request content (header and body). -The server replies with a response message consisting of the protocol version followed by a status code and content. - -[#protocol,reftext='{figure-caption} {counter:figure-num}'] -.Client/Server Communication based on RESTful API -image::protocol.png[Protocol, pdfwidth=70%, width=70%, align="center"] - -==== Verb - -Verb is an HTTP method: POST, GET, PUT/PATCH, and DELETE corresponding to create, read, update, and delete (CRUD) operations, respectively. A client make a request with one of the following methods to be applied to the resource. - -[width="99%", cols="2,8"] -|========= -|POST | Creates a new resource. -|GET | Retrieves a resource. -|PUT | Updates/Replaces an existing resource. -|PATCH | Updates/Modifies an existing resource. -|DELETE | Deletes a resource. -|========= - -==== URI - -A Uniform Resource Identifier (URI) provides a simple and extensible means for identifying a resource as being a locator, a name, or both. The general rules of URIs are defined in [IETF RFC 3986]. -The RESTful API to support moving feature data uses a Uniform Resource Locator (URL) for location and access of resources via the HTTP protocol. The basic components of URLs can be defined as follows: - -====== -*URL = _SERVICE_ROOT_ [ "/" _RESOURCE_PATH_ [ "?" _QUERY_OPTIONS_ ]]* -====== - -- _SERVICE_ROOT_: the identification of service endpoints for clients, usually formed as `"http:""//"host[":"port]["/"version]`. The "http" scheme is used to locate network resources via the HTTP protocol. The host is a domain name of a network host, or its IPv4 address as a set of four decimal digit groups separated by ".". The version is a API version. -- _RESOURCE_PATH_: the representation of a particular resource. By attaching the resource path after the service root URI, clients can address to different types of resources. (sub-clause <>). -- _QUERY_OPTIONS_: clients can apply query options after the resource path to further process the addressed resources, such as sorting by properties or filtering with criteria (sub-clause <>). - -==== Version - -The service implementation shall support a HTTP version. This document assumes the protocol referred to as "HTTP/1.1" [IETF RFC 2616]. - -==== Status - -The response message should contain a status code of the attempt to understand and satisfy the request. Depending on the first digit of a 3-digit integer code, it is classified into five roles: -[width="99%", cols="2,8"] -|========= -|1xx | Informational - Request received, continuing process -|2xx | Success - The action was successfully received, understood, and accepted -|3xx | Redirection - Further action must be taken in order to complete the request -|4xx | Client Error - The request contains bad syntax or cannot be fulfilled -|5xx | Server Error - The server failed to fulfill an apparently valid request -|========= - -Full list of status codes are defined in [IETF RFC 2616], Section 10. This document suggests usage of the following specific codes: - -- *200 OK* : General success status code. -- *201 CREATED*: Successful creation of resources for POST or PATCH. -- *204 NO CONTENT*: Successful operation for DELETE or PUT. There is nothing in the response body. -- *400 BAD REQUEST*: General error of client request, such as a wrong parameter, missing data, etc. -- *404 NOT FOUND*: The requested resource is not found. -- *406 Not Acceptable*: The media type given in the Content-Type header field is not `"application/geo+json"` or `"application/geo+json-seq"`. -- *500 Internal Service Error*: Unexpected condition during the request operations in a server side. -- *501 Not Implemented*: The server does not support the functionality required to fulfill the request. - -==== Header - -A general HTTP request/response message contains header fields consisting of a name, followed by a colon (":") and the field value. Detailed information on HTTP header fields are described in [IETF RFC 2616], Section 4.5 (General Header Fields), Section 5.3 (Request Header Fields), Section 6.2 (Response Header Fields), and Section 7.1 (Entity Header Fields). -The RESTful API of moving features in this document concerns only the Content-Type field, and the other fields are left to the implementation of domain applications. - -- *Content-Type*: All request/response message SHALL contain the Content-Type field to indicate the media type of the entity-body. The Content-Type field has one of media types of `"application/geo+json"` and `"application/geo+json-seq"` to interpret Moving Features JSON (MF-JSON) entities in the message body. -- *Transfer-Encoding*: A web server serves content as a stream (dynamically-generated content) with the Transfer-Encoding field set by `"chunked"`. The size of each chuck is sent right before the chuck itself, the representation of content is recommended to use the JSON Text Sequence format [IETF RFC 7464] for the streaming transfer. Content transfer is terminated by a final chunk of length zero. - -[NOTE] -The Host request-header field specifies the Internet host and port number of the resource being requested. If the service_root omits the request, the client needs to include this field. - -==== Body - -The entity-body (if any) sent with an request or response is in the JSON format. If the entities represent moving feature data, it is encoded by MF-JSON. More examples are given the next sub-clause. - -[#resources,reftext='7.2'] -=== Resources -A request URI is constructed with a resource path for a corresponding resource item. Resources are the fundamental elements of the RESTful API. -This API is designed by the resource classes and their relationships as shown in <>. - -[#resource_type,reftext='{figure-caption} {counter:figure-num}'] -.REST Resource Classes of a Moving Feature Service -image::restresources.png[REST Resources, pdfwidth=100%, width=90%, align="center"] - -==== Resource Classes - -- *MovingFeature Class*: Is the root resource to enable the client to access other resources as its properties. -A MovingFeature resource is required to be implemented with the following properties in a moving-feature service: - -[width="99%", cols="2,5,3,2,1", options="header"] -|=========================================================== -|Name |Description | Data type | Multiplicity and use | Editable -|@id | It is the unique and system-generated identifier. Clients cannot edit its value. | JSON Any (Null is not allowed)| One (mandatory) | NO -|temporalGeometry | A navigation property to address the resource containing a temporal geometry. | JSON Object (Null is not allowed)| One (mandatory) |YES -|temporalProperties | A navigation property to address the resource containing temporal properties. | JSON Array or Null | Zero-to-one | YES -|properties | A navigation property to address the resource containing static properties as name-value pairs. | JSON Array or Null | Zero-to-one | YES -|=========================================================== - -[NOTE] -JSON Any = False / Null / True / Object / Array / Number / String + -A resource instance whose type is specified, such as Geometry, DateTime, TemporalGeometry, TemporalProperty, Property, and so on, is a JSON Object. - -- *TemporalGeometry Class*: The class for accessing the temporal geometry of moving features. A TemporalGeometry resource is required to be implemented with the following properties in a moving-feature service: - -[width="99%", cols="2,5,3,2,1", options="header"] -|=========================================================== -|Name |Description | Data type | Multiplicity and use | Editable -|type |Its value is one of "MovingPoint", "MovingLineString", "MovingPolygon", "MultiMovingPoint", "MultiMovingLineString", "MultiMovingPolygon", and "MovingGeometryCollection". | JSON String | One (mandatory) | NO -|coordinates | A collection of geometries represented by lists of sampled positions. | JSON Array (or Null for collection types)| Zero-to-one (mandatory for simple types) | YES -|datetimes | A collection of datetimes when the coordinates are sampled. | JSON Array (or Null for collection types)| Zero-to-one (mandatory for simple types) | YES -|members | A navigation property to address temporal-geometry elements of the collection types such as "MultiMovingPoint", "MultiMovingLineString", "MultiMovingPolygon", and "MovingGeometryCollection". | TemporalGeometry (or Null for simple types)| Zero-to-many | NO -|interpolations| A navigation property to address the interpolation methods. | Interpolation (or Null for collection types)| Zero-to-many (mandatory for simple types) | YES -|=========================================================== - -- *TemporalProperty Class*: The class for accessing the temporal properties of moving features. A TemporalProperty resource is optionally to be implemented in a moving-feature service. The minimum properties for the class are defined by: - -[width="99%", cols="2,3,3,2,3", options="header"] -|=========================================================== -|Name |Description | Data type | Multiplicity and use | Editable -|name | A name of dynamic attribute of feature. | JSON String | One (mandatory) | YES (but, no duplication within a moving feature.) -|uom | A symbol or URI to address the unit of measurement. | JSON String or Null | Zero-to-one | YES -|values | A collection of sampled values to represent dynamic changes of feature attribute. | JSON Array | One (mandatory) | YES -|datetimes | A collection of datetimes when the values are sampled. | JSON Array | One (mandatory) | YES -|interpolations| A navigation property to address the interpolation methods. | Interpolation | One-to-many (mandatory) | YES -|=========================================================== - -- *Interpolation Class*: The class for accessing an interpolation method. An Interpolation resource is required to be implemented with the following properties in a moving-feature service: - -[width="99%", cols="2,3,3,2,3", options="header"] -|=========================================================== -|Name |Description | Data type | Multiplicity and use | Editable -|@id | It is the unique and system-generated identifier. | JSON Any | One (mandatory) | NO -|name | A name of interpolation. | JSON String | One (mandatory) | NO -|formulas | A collection of formulas to estimate arbitrary values at time. | JSON Any | Zero-to-one | NO -|=========================================================== - -For pre-defined methods such as `"Discrete"`, `"Stepwise"`, `"Linear"`, and `"Spline"`, the client cannot edit the names of methods. -This practice assumes that the name of a user-defined interpolation formula is automatically assigned by the service when moving features are inserted. - -- *Property Class*: The class for accessing the static properties of moving features. A Property resource is optionally to be implemented in a moving-feature service. The minimum properties for the class are defined by: - -[width="99%", cols="2,3,3,2,3", options="header"] -|=========================================================== -|Name |Description | Data type | Multiplicity and use | Editable -|name | A name of feature attribute. | JSON String | One (mandatory) | YES (but, no duplication within a moving feature.) -|value | A value of feature attribute. | JSON Any | One (mandatory) | YES -|=========================================================== - -- *FeatureLayer Class*: The class for a collection of moving features to manage data in a distinct (physical or logical) space; this is an optional resource and can be replaced by an Application-dependent feature. -When the service implements this class, the following properties may be required: - -[width="99%", cols="2,3,3,2,3", options="header"] -|=========================================================== -|Name |Description | Data type | Multiplicity and use | Editable -|name |A property indicates the label of a FeatureLayer resource | JSON String | One (mandatory) | YES (but, no duplication.) -|description | A property describes a short comment about the layer | JSON String | One (mandatory) |YES -|updateFrequency | A property provides the connectivity of movement within a time interval (second) | Integer | One (mandatory) | YES (but, the previous data are not affected.) -|features | A navigation property to address each moving feature | MovingFeature | Zero-to-many | YES -|=========================================================== - -[NOTE] -The moving-feature service needs to manage the connectivity of features' movement by using the updateFrequency interval. If the updateFrequency interval is 0, the server does not manage the connectivity of movements. - -==== Resource Path Patterns - -Each resource in the service has at least one URL. -The recommended pattern of resource URL paths to address a collection of MovingFeature entities, a MovingFeature entity, and their properties may be formed as: -[source] -.URL patterns without a FeatureLayer resource - - SERVICE_ROOT/MovingFeatures - - SERVICE_ROOT/MovingFeatures(@id) - - SERVICE_ROOT/MovingFeatures(@id)/temporalGeometry - - SERVICE_ROOT/MovingFeatures(@id)/temporalProperties - - SERVICE_ROOT/MovingFeatures(@id)/temporalProperties($NAME) - - SERVICE_ROOT/MovingFeatures(@id)/properties - - SERVICE_ROOT/MovingFeatures(@id)/properties($NAME) - -[NOTE] -@id is the identifier of moving feature; therefore, the server needs to return its identifier when a client inserts a new feature or provides a way to access each identifier. - - -If the server implements the FeatureLayer resource, it is recommend that the path pattern of resource be formed as: -[source] -.URL patterns with FeatureLayer resources - - SERVICE_ROOT/FeatureLayers/ - - SERVICE_ROOT/FeatureLayers($NAME)/features - - SERVICE_ROOT/FeatureLayers($NAME)/features(@id) - - SERVICE_ROOT/FeatureLayers($NAME)/features(@id)/temporalGeometry - - SERVICE_ROOT/FeatureLayers($NAME)/features(@id)/temporalProperties - - SERVICE_ROOT/FeatureLayers($NAME)/features(@id)/temporalProperties($NAME) - - SERVICE_ROOT/FeatureLayers($NAME)/features(@id)/properties - - SERVICE_ROOT/FeatureLayers($NAME)/features(@id)/properties($NAME) - -[NOTE] - $NAME is replaced by a value of property `name`. - -[WARNING] -========== - For the root type of resources, a server should take one resource type of MovingFeatures or FeatureLayers. Both a MovingFeatures and FeatureLayers resource cannot exist at the same level. -========== - -==== Resource Path Examples - -A client can make a request against the resources via URL using various HTTP methods: POST, GET, PUT/PATCH, and DELETE. - -[source] -.Example 7.1: To insert a moving feature data into the service. ----- ->>> Request -POST SERVICE_ROOT/MovingFeatures HTTP1.1 -Content-Type: application/geo+json -{ - "type": "MovingFeature", - "temporalGeometry": { - "type": "MovingPoint", // a geometry type to represent a trajectory object - "coordinates": [ [100.0, 0.0], [101.0, 0.0], [101.0, 1.0], [100.0, 1.0] ], - "datetimes": ["2011-07-14T22:01:01Z", "2011-07-14T23:01:01Z", "2011-07-15T00:01:01Z", "2011-07-15T01:01:01Z"], - "interpolations": ["Linear"] - }, - "temporalProperties": [ //(optional) - { - "datetimes" : ["2011-07-14T22:01:01Z", "2011-07-14T23:01:01Z", "2011-07-15T00:01:01Z"], - "length": { - "uom": "http://www.qudt.org/qudt/owl/1.0.0/quantity/Length", // a URL denoting a unit-of-measure - "values": [1.0, 2.4, 1.0], - "interpolations": ["Stepwise"] - } - } - ] -} - -<<< Response -201 CREATED -{ - “@id”: “mf0001", - “@created”: "2012-07-14T22:01:01" // Application-defined property -} ----- - -[source] -.Example 7.2: To insert a list of moving feature data into the service with the "application/geo+json-seq" content type. ----- ->>> Request -POST SERVICE_ROOT/MovingFeatures HTTP1.1 -Content-Type: application/geo+json-seq -{ "type": "MovingFeature", "temporalGeometry": {...}, "temporalProperties": [...]} -{ "type": "MovingFeature", "temporalGeometry": {...}, "temporalProperties": [...]} -{ "type": "MovingFeature", "temporalGeometry": {...}, "temporalProperties": [...]} - -<<< Response -201 CREATED -{ - “@id”: [“mf0001", “mf0002", “mf0003"] - “@created”: "2012-07-14T22:01:01" // Application-defined property -} ----- - - -[source] -.Example 7.3: To add new trajectory data into a stored moving feature. ----- ->>> Request -POST SERVICE_ROOT/MovingFeatures('mf0001')/temporalGeometry HTTP1.1 -Content-Type: application/geo+json -{ - "type": "MovingPoint", // a geometry type to represent a trajectory object - "coordinates": [ [100.0, 0.0], [101.0, 0.0]], - "datetimes": ["2011-07-16T02:01:01Z", "2011-07-16T06:01:01Z"], - "interpolation": ["Linear"] -} - -<<< Response -201 CREATED -{ - “@modified”: "2012-07-14T22:01:01" // Application-defined property -} ----- - -[source] -.Example 7.4: To get the list of all the temporal property information. ----- ->>>> Request -GET SERVICE_ROOT/MovingFeatures('mf0001')/temporalProperties HTTP1.1 - -<<< Response -200 OK -[ - { - "datetimes" : ["2011-07-14T22:01:01Z", "2011-07-14T23:01:01Z", "2011-07-15T00:01:01Z"], - "length": { - "uom": "http://www.qudt.org/qudt/owl/1.0.0/quantity/Length", - "values": [1.0, 2.4, 1.0], - "interpolations": ["Stepwise"] - } - } -] ----- - -[source] -.Example 7.5: To retrieve a temporal property information whose name is 'dose'. ----- ->>> Request -GET SERVICE_ROOT/MovingFeatures('mf0001')/temporalProperties('dose') HTTP1.1 - -<<< Response -200 OK -{ - "datetimes" : ["2011-07-14T22:01:01Z", "2011-07-15T12:01:01Z"], - "dose": { - "uom": "http://www.qudt.org/qudt/owl/1.0.0/quantity/AbsorbedDose", - "values": [0.003, 0.003], - "interpolations": ["Discrete"] - } -} ----- - -[source] -.Example 7.6: To modify the name of a property. ----- ->>> Request -PUT SERVICE_ROOT/MovingFeatures('mf0001')/properties#name='title' HTTP1.1 - -<<< Response -204 NO CONTENT ----- - -[#queries,reftext='7.3'] -=== Access Interfaces - -The OGC Moving Features Access [OGC 16-120r3] document requires three types of operations for accessing moving feature data: Type A, Type B, and Type C as follows: - -- Type A: Retrieval of feature attribute + -For example, these operations retrieve positions, trajectories, and velocities of a moving feature such as a car, a person, a vessel, an aircraft, and a hurricane. -- Type B: Operations between one trajectory object and one or more geometry objects + -An example of these operations is “intersection” between a geometry object like an administrative boundary and a trajectory of a moving feature like a car, a person, a vessel, an aircraft, and a hurricane. -- Type C: Operations between two trajectory objects + -An example of these operations is to calculate a distance of the nearest approach of a trajectory to another trajectory. The case studies are distance between a criminal agent and a police agent for predicting crime patterns or distance between soccer players for making proper tactics. - -OGC Moving Feature Access provides a guideline for implementing interfaces to support moving feature data calculations in a database, data service, or an application using various programming languages or protocols (e.g., SQL functions, Java APIs, and Web APIs). -This sub-clause exemplifies how to realize those operations using RESTful API based on a resource URL, followed by the query option parts. -The client is able to retrieve a resource representation using a HTTP GET request. - -====== -*"GET" _SERVICE_ROOT_ "/" _RESOURCE_PATH_ "?" _QUERY_OPTIONS_ "HTTP/1.1"* -====== - -This document basically follows the usage of query options ($filter, $count, $orderby, $skip, $top, $select, and $search) as used in the OGC SensorThings API standard [OGC 15-078r6]. -The OGC SensorThings API provides a good example of adaptation in OData protocols [OData-Part1] and extension of geospatial query functions. -This practice employs the `$select`, `$filter`, and `$search` options in moving feature operations. -In order to make a simple rule for the query options, the abstract operations of moving features as identified in [OGC 16-120r3] are re-categorized into three interfaces as shown in <>: *Harvest*, *Relation*, and *Analysis*. -Interface *GeoSpatial* and *Temporal* are additionally defined to access derived properties from a TemporalGeometry and TemporalProperty resource. - -[WARNING] -The <> omits the parameters and return types of Type A, B, and C operations. The detailed specification of each operation in Type A, B, and C (gray color boxes) is described by the OGC Moving Features Access standard. -The other interfaces (yellow color boxes) are not related to the OGC Moving Features Access standard. - -[#interfaces,reftext='{figure-caption} {counter:figure-num}'] -.Interface Types of RESTful API -image::restinterfaces.png[Moving Feature Interfaces, pdfwidth=100%, width=100%, align="center"] - -- *Harvest Interface*: This interface mostly implements the Type A operations to retrieve feature attributes. The practice uses `geometryAtTime` and `timeAtGeometry` to extend the geometry types not only 0-dimensional geometry objects but also 1- and 2-dimensional geometry objects instead of _pointAtTime_ and _timeAtPoint_ in the Moving Features Access document. -In addition, operation `stBoundedBy` is added to return the boundary object containing moving features in a spatiotemporal domain. This interface is realized with <>. - -- *Relation Interface*: This interface implements the topological relationship operations in Type B (between trajectory and geometry objects) and Type C (between two trajectory objects), such as _disjoint_ and _intersects_. The practice changes the name of _distanceWithin_ to `within` to exclude the distance parameter. Moreover, new relations of `enters`, `leaves`, and `passes` are defined to clarify its temporal order of topological changes of relation from _intersects_. + -<> shows the examples of each relation. This interface is realized with <>. + - -[#relations,reftext='{figure-caption} {counter:figure-num}'] -.Specialized Relations of Moving Features from _intersects_ (latexmath:[t_i < t_j < t_k] for time instant latexmath:[t_i, t_j, t_k]) -image::mfrelations.png[Moving Feature Relations, pdfwidth=50%, width=50%, align="center"] - -- *Analysis Interface*: This interface implements the analysis operations in Type B (between trajectory and geometry objects) and Type C (between two trajectory objects), such as _nearestApproach_ and _difference_. The operations return a new object as a computation result. For example, operation "nearestApproach" with geometric object calculates the distance between a trajectory and the geometry or between two trajectories, and returns a distance in time. This practice additionally defines two more operations: `buffer` and `convoy`. -The `buffer` operation returns a temporal geometry (simple or collection) covering all points within a given distance from a target temporal geometry (simple or collection). -The `convoy` operation returns the minimum bounding temporal geometry enclosing a group of moving features such that these features are consecutively close to each other (the k-nearest neighbors from a target) during a given time period. -<> shows the result examples of `buffer` and `convoy` operations. This interface is realized with <>. + - -[#analysis,reftext='{figure-caption} {counter:figure-num}'] -.Examples of Analysis Operations -image::mfanalysis.png[Moving Feature Analysis, pdfwidth=60%, width=60%, align="center"] - -- *GeoSpatial Interface*: This interface provides the function `dimension` that returns the maximum dimension of leaf geometry objects and `boundary` that returns the closure of the combinatorial geospatial boundary of all leaves (a foliation) for a temporal geometry resource. This interface is realized with <>. - -- *Temporal Interface*: This interface provides the functions `snapshot` and `slice` that returns a sub-object of a temporal geometry/property at a given time instant and time period, respectively. The `boundedBy` function returns the temporal range covering its prism. This interface is realized with <>. - -[#select_query] -==== Query Option `$select` - -The `$select` query option requests the service to harvest the properties or return a value derived from properties. The operations of *Harvest*, *GeoSpatial*, and *Temporal* are realized with the `$select` query option corresponding to a MovingFeature or FeatureLayer resource. - -[source] -.Example 7.7: geometryAtTime of a moving feature with ID. ----- ->>> Request -GET SERVICE_ROOT/MovingFeatures('mf0001')?$select=geometryAtTime(2008-02-04T00:00:00Z) HTTP1.1 - -<<< Response -200 OK -Content_Type: application/geo+json -{ - "geometryAtTime" : { - "type" : "POINT", - "coordinates" : [ 116.35072, 39.96354 ] - } -} ----- - -[source] -.Example 7.8: geometryAtTime of all moving features. ----- ->>> Request -GET SERVICE_ROOT/MovingFeatures?$select=geometryAtTime(2008-02-04T00:00:00Z) HTTP1.1 - -<<< Response -200 OK -Content_Type: application/geo+json -[ - { - "@id" : "mf0001", - "geometryAtTime" : { - "type" : "POINT", - "coordinates" : [ 116.35072, 39.96354 ] - } - }, - { - "@id" : "mf0002", - "geometryAtTime" : { - "type" : "POINT", - "coordinates" : [ 116.01843751281389, 39.909385232047136 ] - } - } -] ----- - -[source] -.Example 7.9: timeAtGeometry of a moving feature with ID. ----- ->>> Request -GET SERVICE_ROOT/MovingFeatures('mf0001')?$select=timeAtGeometry(POINT(116.4%2039.8)) HTTP1.1 - -<<< Response -200 OK -Content_Type: application/geo+json -{ - "timeAtGeometry" : [ "2008-02-07T13:00:37Z", "2008-02-07T13:00:51Z", "2008-02-08T13:35:57Z", "2008-02-08T13:36:06Z", "2008-02-06T13:08:32Z", "2008-02-06T13:08:29Z", "2008-02-07T23:04:51Z", "2008-02-07T23:04:55Z", "2008-02-06T23:09:41Z", "2008-02-06T23:09:56Z", "2008-02-04T00:36:14Z", "2008-02-04T00:36:23Z", "2008-02-05T13:17:28Z", "2008-02-05T13:17:39Z" ] -} ----- - -[source] -.Example 7.10: timeAtGeometry of all moving features. ----- ->>> Request -GET SERVICE_ROOT/MovingFeatures?$select=timeAtGeometry(POINT(116.4%2039.8)) HTTP1.1 - -<<< Response -200 OK -Content_Type: application/geo+json -[ - { - "@id" : "mf0001", - "timeAtGeometry" : [ "2008-02-07T13:00:37Z", "2008-02-07T13:00:51Z", "2008-02-08T13:35:57Z", "2008-02-08T13:36:06Z", "2008-02-06T13:08:32Z", "2008-02-06T13:08:29Z", "2008-02-07T23:04:51Z", "2008-02-07T23:04:55Z", "2008-02-06T23:09:41Z", "2008-02-06T23:09:56Z", "2008-02-04T00:36:14Z", "2008-02-04T00:36:23Z", "2008-02-05T13:17:28Z", "2008-02-05T13:17:39Z" ] - }, - { - "@id": "mf0002", - "timeAtGeometry": ["2013-05-01T10:33:45Z"] - } -] ----- - -[source] -.Example 7.11: velocity of the all moving feature. ----- ->>> Request -GET SERVICE_ROOT/MovingFeatures?$select=velocity(2008-02-04T00:00:00Z) HTTP1.1 - -<<< Response -200 OK -Content_Type: application/geo+json -[ - { - "@id" : "mf0001", - "velocity" : [ 0.0, 0.0 ] - }, - { - "@id" : "mf0002", - "velocity" : [ -5.42125853725347E-4, 1.0906301588750913E-4 ] - } -] ----- - -[source] -.Example 7.12: timeAtCummulativeDistance of a moving feature with ID. ----- ->>> Request -GET SERVICE_ROOT/MovingFeatures('mf0001')?$select=timeAtCummulativeDistance(1,%22km%22) HTTP1.1 - -<<< Response -200 OK -Content_Type: application/geo+json -{ - "timeAtCummulativeDistance" : "2008-02-02T22:35:04Z" -} ----- - -[source] -.Example 7.13: stBoundedBy of moving features. ----- ->>> Request -GET SERVICE_ROOT/MovingFeatures?$select=stBoundedBy() HTTP1.1 - -<<< Response -200 OK -Content_Type: application/geo+json -[ - { - "@id" : "mf0001", - "stBoundedBy" : { - "bbox": [-10.0, -10.0, 10.0, 10.0], - "period": { - "begin": "1994-11-05T13:15:30Z", - "end" : "1994-11-05T13:15:30Z" - } - } - }, - { - "@id" : "mf0002", - "stBoundedBy" : { - "bbox": ..., - "period": ... - } - } -] ----- - -[source] -.Example 7.14: subTrajectory of a moving feature with ID. ----- ->>> Request -GET SERVICE_ROOT/MovingFeatures('mf0001')?$select=subTrajectory(2008-02-03T23:00:00Z,2008-02-03T23:05:00Z) HTTP1.1 - -<<< Response -200 OK -Content_Type: application/geo+json -{ - "subTrajectory" : { - "type" : "MovingPoint", - "datetimes" : [ "2008-02-03T23:00:00Z", "2008-02-03T23:04:34Z", "2008-02-03T23:03:49Z", "2008-02-03T23:03:04Z", "2008-02-03T23:02:19Z", "2008-02-03T23:01:29Z", "2008-02-03T23:00:44Z", "2008-02-03T23:00:04Z", "2008-02-03T23:04:39Z", "2008-02-03T23:03:54Z", "2008-02-03T23:03:09Z", "2008-02-03T23:02:24Z", "2008-02-03T23:01:34Z", "2008-02-03T23:00:49Z", "2008-02-03T23:00:09Z", "2008-02-03T23:04:44Z", "2008-02-03T23:03:59Z", "2008-02-03T23:03:14Z", "2008-02-03T23:02:29Z", "2008-02-03T23:01:39Z", "2008-02-03T23:00:54Z", "2008-02-03T23:00:14Z", "2008-02-03T23:04:49Z", "2008-02-03T23:04:04Z", "2008-02-03T23:03:19Z", "2008-02-03T23:02:34Z", "2008-02-03T23:01:49Z", "2008-02-03T23:00:59Z", "2008-02-03T23:00:19Z", "2008-02-03T23:04:56Z", "2008-02-03T23:04:09Z", "2008-02-03T23:03:24Z", "2008-02-03T23:02:39Z", "2008-02-03T23:01:54Z", "2008-02-03T23:01:04Z", "2008-02-03T23:00:24Z", "2008-02-03T23:04:14Z", "2008-02-03T23:03:29Z", "2008-02-03T23:02:49Z", "2008-02-03T23:01:59Z", "2008-02-03T23:01:09Z", "2008-02-03T23:00:29Z", "2008-02-03T23:04:19Z", "2008-02-03T23:03:34Z", "2008-02-03T23:02:54Z", "2008-02-03T23:02:04Z", "2008-02-03T23:01:19Z", "2008-02-03T23:00:34Z", "2008-02-03T23:04:29Z", "2008-02-03T23:03:44Z", "2008-02-03T23:02:59Z", "2008-02-03T23:02:09Z", "2008-02-03T23:01:24Z", "2008-02-03T23:00:39Z", "2008-02-03T23:05:00Z" ], - 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"interpolations" : ["Linear"] - } -} ----- -The subTrajectory operation can also be realized by using the slice interface of temporal geometry as follows: - -[source] -.Example 7.15: slice of the temporal geometry of the moving feature whose identifier is 'mf0001'. ----- ->>> Request -GET SERVICE_ROOT/MovingFeatures('mf0001')/temporalGeometry?$select=slice(2008-02-03T23:00:00Z,2008-02-03T23:05:00Z) HTTP1.1 - -<<< Response -200 OK -Content_Type: application/geo+json -{ - "slice": { - "type" : "MovingPoint", - "datetimes" : [ "2008-02-03T23:00:00Z", "2008-02-03T23:04:34Z", "2008-02-03T23:03:49Z", "2008-02-03T23:03:04Z", "2008-02-03T23:02:19Z", "2008-02-03T23:01:29Z", "2008-02-03T23:00:44Z", "2008-02-03T23:00:04Z", "2008-02-03T23:04:39Z", "2008-02-03T23:03:54Z", "2008-02-03T23:03:09Z", "2008-02-03T23:02:24Z", "2008-02-03T23:01:34Z", "2008-02-03T23:00:49Z", "2008-02-03T23:00:09Z", "2008-02-03T23:04:44Z", "2008-02-03T23:03:59Z", "2008-02-03T23:03:14Z", "2008-02-03T23:02:29Z", "2008-02-03T23:01:39Z", "2008-02-03T23:00:54Z", "2008-02-03T23:00:14Z", "2008-02-03T23:04:49Z", "2008-02-03T23:04:04Z", "2008-02-03T23:03:19Z", "2008-02-03T23:02:34Z", "2008-02-03T23:01:49Z", "2008-02-03T23:00:59Z", "2008-02-03T23:00:19Z", "2008-02-03T23:04:56Z", "2008-02-03T23:04:09Z", "2008-02-03T23:03:24Z", "2008-02-03T23:02:39Z", "2008-02-03T23:01:54Z", "2008-02-03T23:01:04Z", "2008-02-03T23:00:24Z", "2008-02-03T23:04:14Z", "2008-02-03T23:03:29Z", "2008-02-03T23:02:49Z", "2008-02-03T23:01:59Z", "2008-02-03T23:01:09Z", "2008-02-03T23:00:29Z", "2008-02-03T23:04:19Z", "2008-02-03T23:03:34Z", "2008-02-03T23:02:54Z", "2008-02-03T23:02:04Z", "2008-02-03T23:01:19Z", "2008-02-03T23:00:34Z", "2008-02-03T23:04:29Z", "2008-02-03T23:03:44Z", "2008-02-03T23:02:59Z", "2008-02-03T23:02:09Z", "2008-02-03T23:01:24Z", "2008-02-03T23:00:39Z", "2008-02-03T23:05:00Z" ], - 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"interpolations" : ["Linear"] - } -} ----- - -However, the slice operation is for only one MovingFeature resource. This practice restricts the use of the GeoSpatial and Temporal interfaces to only TemporalGeometry or/and TemporalProperty resource types. -The following examples show the use cases of each operation. - -[source] -.Example 7.16: snapshot of the temporal property whose name is 'length' of the moving feature whose identifier is 'mf0001'. ----- ->>> Request -GET SERVICE_ROOT/MovingFeatures('mf0001')/temporalProperties('length')?$select=snapshot(2013-05-01T10:33:41Z) HTTP1.1 - -<<< Response -200 OK -Content_Type: application/geo+json -{ - "snapshot": { - "datetimes": ["2013-05-01T10:33:41Z"], - "length": { - "uom": "http://www.qudt.org/qudt/owl/1.0.0/quantity/Length", - "values": [1.2], - "interpolations": ["Discrete"] - } -} ----- - -[source] -.Example 7.17: boundedBy of the temporal geometry of the moving feature whose identifier is 'mf0001'. ----- ->>> Request -GET SERVICE_ROOT/MovingFeatures('mf0001')/temporalGeometry?$select=boundedBy() HTTP1.1 - -<<< Response -200 OK -Content_Type: application/geo+json -{ - "boundedBy": { - "begin" : "2008-02-03T23:00:00Z", - "end" : "2008-02-03T23:05:00Z" - } -} ----- - -[source] -.Example 7.18: boundary of the temporal geometry of the moving feature whose identifier is 'mf0001'. ----- ->>> Request -GET SERVICE_ROOT/MovingFeatures('mf0001')/temporalGeometry?$select=boundary() HTTP1.1 - -<<< Response -200 OK -Content_Type: application/geo+json -{ - "boundary": { - "type": "LineString", - "coordinates": [ [100.0, 0.0], [101.0, 0.0], [101.0, 1.0], [100.0, 1.0] ] - } -} ----- - -[source] -.Example 7.19: to select a part of a temporal property of the moving feature whose identifier is 'mf0001'. ----- ->>> Request -GET SERVICE_ROOT/MovingFeatures('mf0001')/temporalProperties('length')?select=values gt 10 HTTP1.1 - -<<< Response -200 OK -Content_Type: application/geo+json -{ - "temporalProperties": [{ - "datetimes": ["2017-03-13T01:00:00Z","2017-03-13T21:00:00Z", "2017-03-13T23:00:00Z"], - "length": { - "uom" : "m", - "values": [10, 15, 20], - "interpolations": "Linear" - }] -} ----- - -[#filter_query] -==== Query Option `$filter` - -The `$filter` query option allows clients to filter a collection of moving features that are addressed by a request URL. It can be applied to a specific moving feature or a collection of moving features. The `$filter` option is evaluated for each moving feature in the collection, and returns the features where the expression of the Relation interface is `true` in the response. For a specific feature, it returns `true` or `false`. The *Relation* interface is realized with the `$filter` query option. - -[source] -.Example 7.20: The disjoint operation returns true or false corresponding to a moving feature. ----- ->>> Request -GET SERVICE_ROOT/MovingFeatures('mf0001')?$filter=disjoint(LINESTRING(1%202,3%204,5%206),2008-02-02T22:31:00Z,2008-02-02T22:40:00Z) HTTP1.1 - -<<< Response -200 OK -Content_Type: application/geo+json -{ - "disjoint": true -} ----- - -[source] -.Example 7.21: The intersects operation returns the identifiers of moving features whose trajectory intersects with the parameter geometry object for a particular period of time in the collection. ----- ->>> Request -GET SERVICE_ROOT/MovingFeatures?$filter=intersects(POLYGON((30%2010%2C40%2040%2C20%2040%2C10%2020%2C30%2010)),2013-05-01T10:33:50Z,2013-05-01T10:36:41Z) HTTP1.1 - -<<< Response -200 OK -Content_Type: application/geo+json -{ - "intersects": [ "mf0001", "mf0003"] -} ----- - -[source] -.Example 7.22: The distanceWithin operation returns the identifiers of moving features which are located within 100km from the given position during the parameter time period. ----- ->>> Request -GET SERVICE_ROOT/MovingFeatures?$filter=distanceWithin(POINT(103%201.0),2013-05-01T10:33:50Z,2013-05-01T10:36:41Z,100;km) HTTP1.1 - -<<< Response -200 OK -Content_Type: application/geo+json -{ - "distanceWithin ": null -} ----- - -[NOTE] -========== -The operations of Type C between two trajectory objects provide spatiotemporal relations (e.g., intersects). -The current API tries to realize the Type C operation by a temporary method until an expression is developed for the request URL, such as the Well-Known Text (WKT) format for a geometry object. - -.(1) Create a temporal resource of FeatureLayer as follows: ------ ->>> Request -POST SERVICE_ROOT/FeatureLayers HTTP1.1 -Content-Type: application/geo+json -{ - "name": "queryfeatures", - "description": "temporal feature layer for query parameters" - "updateFrequency": 0 -} - -<<< Response -201 CREATED -{ - “@id”: "queryfeatures", - “@created”: "2012-07-14T22:01:01" -} ------ -.(2) Insert a query object into the feature layer as follows: ------ ->>> Request -POST SERVICE_ROOT/FeatureLayers('queryfeatures') HTTP1.1 -Content-Type: application/geo+json -{ - "type": "MovingFeature", - "temporalGeometry": { - .... - } -} -<<< Response -201 CREATED -{ - “@id”: "mf9999999", - “@created”: "2012-07-14T23:01:01" -} ------ -.(3) Search intersected moving features from the bus layer with the query feature. ------ ->>> Request -GET SERVICE_ROOT/FeatureLayers('bus')/features?$filter=intersects(@id)&@id='mf9999999' HTTP1.1 - -<<< Response -200 OK -Content_Type: application/geo+json -{ - "intersects": [ "mf0001", "mf0003"] -} ------ -========== - - - -[#search_query] -==== Query Option `$search` - -The `$search` query option allows clients to analyze moving features or a specific moving feature, and returns a new object as a computation result. The *Analysis* interface is realized with the `$search` query option. - -[source] -.Example 7.23: To search the nearest approach point with ID. ----- ->>> Request -GET SERVICE_ROOT/MovingFeatures('mf0001')?$search=nearestApproachPoint(LINESTRING(116.35%2039.8,116.36%2040),2008-02-04T00:00:00Z,2008-02-04T00:10:00Z) HTTP1.1 - -<<< Response -200 OK -Content_Type: application/geo+json -{ - "nearestApproachPoint" : { - "type" : "MovingPoint", - "datetimes" : [ "2008-02-04T00:06:14Z", "2008-02-04T00:06:19Z" ], - "coordinates" : [ [ 116.35089, 39.96329 ], [ 116.35814635910225, 39.962927182044886 ] ], - "interpolations" : ["Linear"] - } -} ----- - -[source] -.Example 7.24: To search the nearest approach distance for all moving features. ----- ->>> Request -GET SERVICE_ROOT/MovingFeatures?$search=nearestApproach(LINESTRING(116.35%2039.8,116.36%2040),2008-02-04T00:00:00Z,2008-02-04T00:10:00Z) HTTP1.1 - -<<< Response -200 OK -Content_Type: application/geo+json -[ - { - "@id" : "mf0001", - "nearestApproach" : { - "datetimes" : [ "2008-02-04T00:06:14Z", "2008-02-04T00:06:19Z" ], - "distance" : { - "uom" : "m", - "values" : [ 7.265423889165578, 7.265423889165578 ], - "interpolations" : ["Linear"] - } - } - } - ] ----- - -[source] -.Example 7.25: To compute each intersection object of the temporal geometry from a collection of moving features with a parameter geometry object for a particular period of time. ----- ->>> Request -GET SERVICE_ROOT/MovingFeatures?$search=intersection(POLYGON((30%2010%2C40%2040%2C20%2040%2C10%2020%2C30%2010)),2013-05-01T10:33:50Z,2013-05-01T10:36:41Z) HTTP1.1 - -<<< Response -200 OK -Content_Type: application/geo+json -[ - { - "@id": "mf001", - "intersection": { - "type": "MovingPoint, - "coordinates": [...], - "datetimes" : [...], - "interpolations": [...] - } - }, - { - "@id": "mf003", - "intersection": { - ... - } - } -] ----- - - -[NOTE] -========== -The `$search` query option can be used for the full text search of properties/temporalProperties of moving features with a set of keywords. + -For example, - ----- ->>> Request -GET SERVICE_ROOT/MovingFeatures/properties?$search=bike HTTP1.1 - -<<< Response -200 OK -Content_Type: application/geo+json -[ - { - "@id": "mf001", - "properties": { - "name": "bike", - "description": "fast bike" - } - } -] ----- - ----- ->>> Request -GET SERVICE_ROOT/MovingFeatures/properties('name')?$search=bike HTTP1.1 - -<<< Response -200 OK -Content_Type: application/geo+json -[ - { - "@id": "mf001", - "name": "bike" - } -] ----- - ----- ->>> Request -GET SERVICE_ROOT/MovingFeatures/temporalProperties?$search=(mountain OR bike) AND NOT clothing HTTP1.1 - -<<< Response -200 OK -Content_Type: application/geo+json -[ - { - "@id": "mf003", - "temporalProperties": [{ - "datetimes": ["2017-03-13T01:00:00Z","2017-03-13T21:00:00Z", "2017-03-13T23:00:00Z"], - "messages": { - "uom" : "text", - "values": ["mountain bike", "mountain", "bike"], - "interpolations": "Discrete" - }, - "annotations": { - "uom" : "text", - "values": ["a mountain bike", "a mountain", "a bike"], - "interpolations": "Discrete" - } - }] - } -] ----- - ----- ->>> Request -GET SERVICE_ROOT/MovingFeatures/temporalProperties('messages')?$search=(mountain OR bike) AND NOT clothing HTTP1.1 - -<<< Response -200 OK -Content_Type: application/geo+json -[ - { - "@id": "mf003", - "messages": { - "datetimes": ["2017-03-13T01:00:00Z","2017-03-13T21:00:00Z", "2017-03-13T23:00:00Z"], - "values": ["mountain bike", "mountain", "bike"] - } - } -] ----- - -========== - -[#addressing] -==== Addressing Entities: `$ref`, `$value` -This practice uses the symbolic resource `$ref`, located at the service root or a FeatureLayer entity, to get the URL for addressing all entities. -The symbolic resource `$value` is allowed to resolve to a single property value or to get a list of values of TemporalProperty and Property elements of a MovingFeatures resource in text/plain form. - -[source] -.Example 7.26: To get the URLs of all MovingFeatures entities if the service does not have any resource of FeatureLayer. ----- ->>> Request -GET SERVICE_ROOT/$ref HTTP1.1 - -<<< Response -200 OK -Content_Type: application/geo+json -{ - "url": ["MovingFeatures('m0001')", "MovingFeatures('m0002')"] -} ----- - -[source] -.Example 7.27: To get the URLs of all FeatureLayer entities if the service manages resources of FeatureLayer. ----- ->>> Request -GET SERVICE_ROOT/$ref HTTP1.1 - -<<< Response -200 OK -Content_Type: application/geo+json -{ - "url": ["FeatureLayers('bus')", "FeatureLayers('typhoon')"] -} ----- - -[source] -.Example 7.28: To get the URLs of all MovingFeatures entities in a FeatureLayer entity. ----- ->>> Request -GET SERVICE_ROOT/FeatureLayers('typhoon')/$ref HTTP1.1 - -<<< Response -200 OK -Content_Type: application/geo+json -{ - "url": ["features('m0001')", "features('m0002')"] -} ----- - -[source] -.Example 7.29: To get a list of names of FeatureLayer. ----- ->>> Request -GET SERVICE_ROOT/FeatureLayers/name/$value HTTP1.1 - -<<< Response -200 OK -Content_Type: text/plain -bus, typhoon ----- - -[source] -.Example 7.30: To get a list of static properties' name. ----- ->>> Request -GET SERVICE_ROOT/MovingFeatures('m0001')/properties/name/$value HTTP1.1 - -<<< Response -200 OK -Content_Type: text/plain -title, author ----- - -[source] -.Example 7.31: To get a value of a static properties. ----- ->>> Request -GET SERVICE_ROOT/MovingFeatures('m0001')/properties('title')/$value HTTP1.1 - -<<< Response -200 OK -Content_Type: text/plain -Test Title ----- - -[source] -.Example 7.32: To get a list of temporal properties' name. ----- ->>> Request -GET SERVICE_ROOT/MovingFeatures('m0001')/temporalProperties/name/$value HTTP1.1 - -<<< Response -200 OK -Content_Type: text/plain -length, dose, picture ----- - -[source] -.Example 7.33: To get a unit value of a temporal property ----- ->>> Request -GET SERVICE_ROOT/MovingFeatures('m0001')/temporalProperties('length')/uom/$value HTTP1.1 - -<<< Response -200 OK -Content_Type: text/plain -http://www.qudt.org/qudt/owl/1.0.0/quantity/Length ----- +[#rest_api,reftext='7'] +== RESTful API + +This Clause provides a design example of a RESTful API as a form of service interface to handle moving features on the Web with ease of development and access, as well as being robust and scalable in server/client distributed environments. +In general, Representational State Transfer (REST) focuses on resources and how to access to these resources over Hypertext Transfer Protocol (HTTP). +A few use cases of RESTful approaches for OGC web service interfaces are analyzed in the OGC Testbed 11 REST Interface Engineering Report [OGC 15-052r1]. +OGC supports the use of RESTful interfaces and JSON encodings and this practice refers to the OGC SensorThings API [OGC 15-078r6] standard as a good example for RESTful principles. + +=== General Information +Clients and servers exchange representations of resources via HTTP messages as shown in <>. +Clients send a request against the resources to the server in the form of a HTTP verb, Uniform Resource Identifier (URI), protocol version, and request content (header and body). +The server replies with a response message consisting of the protocol version followed by a status code and content. + +[#protocol,reftext='{figure-caption} {counter:figure-num}'] +.Client/Server Communication based on RESTful API +image::protocol.png[Protocol, pdfwidth=70%, width=70%, align="center"] + +==== Verb + +Verb is an HTTP method: POST, GET, PUT/PATCH, and DELETE corresponding to create, read, update, and delete (CRUD) operations, respectively. A client make a request with one of the following methods to be applied to the resource. + +[width="99%", cols="2,8"] +|========= +|POST | Creates a new resource. +|GET | Retrieves a resource. +|PUT | Updates/Replaces an existing resource. +|PATCH | Updates/Modifies an existing resource. +|DELETE | Deletes a resource. +|========= + +==== URI + +A Uniform Resource Identifier (URI) provides a simple and extensible means for identifying a resource as being a locator, a name, or both. The general rules of URIs are defined in [IETF RFC 3986]. +The RESTful API to support moving feature data uses a Uniform Resource Locator (URL) for location and access of resources via the HTTP protocol. The basic components of URLs can be defined as follows: + +====== +*URL = _SERVICE_ROOT_ [ "/" _RESOURCE_PATH_ [ "?" _QUERY_OPTIONS_ ]]* +====== + +- _SERVICE_ROOT_: the identification of service endpoints for clients, usually formed as `"http:""//"host[":"port]["/"version]`. The "http" scheme is used to locate network resources via the HTTP protocol. The host is a domain name of a network host, or its IPv4 address as a set of four decimal digit groups separated by ".". The version is a API version. +- _RESOURCE_PATH_: the representation of a particular resource. By attaching the resource path after the service root URI, clients can address to different types of resources. (sub-clause <>). +- _QUERY_OPTIONS_: clients can apply query options after the resource path to further process the addressed resources, such as sorting by properties or filtering with criteria (sub-clause <>). + +==== Version + +The service implementation shall support a HTTP version. This document assumes the protocol referred to as "HTTP/1.1" [IETF RFC 2616]. + +==== Status + +The response message should contain a status code of the attempt to understand and satisfy the request. Depending on the first digit of a 3-digit integer code, it is classified into five roles: +[width="99%", cols="2,8"] +|========= +|1xx | Informational - Request received, continuing process +|2xx | Success - The action was successfully received, understood, and accepted +|3xx | Redirection - Further action must be taken in order to complete the request +|4xx | Client Error - The request contains bad syntax or cannot be fulfilled +|5xx | Server Error - The server failed to fulfill an apparently valid request +|========= + +Full list of status codes are defined in [IETF RFC 2616], Section 10. This document suggests usage of the following specific codes: + +- *200 OK* : General success status code. +- *201 CREATED*: Successful creation of resources for POST or PATCH. +- *204 NO CONTENT*: Successful operation for DELETE or PUT. There is nothing in the response body. +- *400 BAD REQUEST*: General error of client request, such as a wrong parameter, missing data, etc. +- *404 NOT FOUND*: The requested resource is not found. +- *406 Not Acceptable*: The media type given in the Content-Type header field is not `"application/geo+json"` or `"application/geo+json-seq"`. +- *500 Internal Service Error*: Unexpected condition during the request operations in a server side. +- *501 Not Implemented*: The server does not support the functionality required to fulfill the request. + +==== Header + +A general HTTP request/response message contains header fields consisting of a name, followed by a colon (":") and the field value. Detailed information on HTTP header fields are described in [IETF RFC 2616], Section 4.5 (General Header Fields), Section 5.3 (Request Header Fields), Section 6.2 (Response Header Fields), and Section 7.1 (Entity Header Fields). +The RESTful API of moving features in this document concerns only the Content-Type field, and the other fields are left to the implementation of domain applications. + +- *Content-Type*: All request/response message SHALL contain the Content-Type field to indicate the media type of the entity-body. The Content-Type field has one of media types of `"application/geo+json"` and `"application/geo+json-seq"` to interpret Moving Features JSON (MF-JSON) entities in the message body. +- *Transfer-Encoding*: A web server serves content as a stream (dynamically-generated content) with the Transfer-Encoding field set by `"chunked"`. The size of each chuck is sent right before the chuck itself, the representation of content is recommended to use the JSON Text Sequence format [IETF RFC 7464] for the streaming transfer. Content transfer is terminated by a final chunk of length zero. + +[NOTE] +The Host request-header field specifies the Internet host and port number of the resource being requested. If the service_root omits the request, the client needs to include this field. + +==== Body + +The entity-body (if any) sent with an request or response is in the JSON format. If the entities represent moving feature data, it is encoded by MF-JSON. More examples are given the next sub-clause. + +[#resources,reftext='7.2'] +=== Resources +A request URI is constructed with a resource path for a corresponding resource item. Resources are the fundamental elements of the RESTful API. +This API is designed by the resource classes and their relationships as shown in <>. + +[#resource_type,reftext='{figure-caption} {counter:figure-num}'] +.REST Resource Classes of a Moving Feature Service +image::restresources.png[REST Resources, pdfwidth=100%, width=90%, align="center"] + +==== Resource Classes + +- *MovingFeature Class*: Is the root resource to enable the client to access other resources as its properties. +A MovingFeature resource is required to be implemented with the following properties in a moving-feature service: + +[width="99%", cols="2,5,3,2,1", options="header"] +|=========================================================== +|Name |Description | Data type | Multiplicity and use | Editable +|@id | It is the unique and system-generated identifier. Clients cannot edit its value. | JSON Any (Null is not allowed)| One (mandatory) | NO +|temporalGeometry | A navigation property to address the resource containing a temporal geometry. | JSON Object (Null is not allowed)| One (mandatory) |YES +|temporalProperties | A navigation property to address the resource containing temporal properties. | JSON Array or Null | Zero-to-one | YES +|properties | A navigation property to address the resource containing static properties as name-value pairs. | JSON Array or Null | Zero-to-one | YES +|=========================================================== + +[NOTE] +JSON Any = False / Null / True / Object / Array / Number / String + +A resource instance whose type is specified, such as Geometry, DateTime, TemporalGeometry, TemporalProperty, Property, and so on, is a JSON Object. + +- *TemporalGeometry Class*: The class for accessing the temporal geometry of moving features. A TemporalGeometry resource is required to be implemented with the following properties in a moving-feature service: + +[width="99%", cols="2,5,3,2,1", options="header"] +|=========================================================== +|Name |Description | Data type | Multiplicity and use | Editable +|type |Its value is one of "MovingPoint", "MovingLineString", "MovingPolygon", "MultiMovingPoint", "MultiMovingLineString", "MultiMovingPolygon", and "MovingGeometryCollection". | JSON String | One (mandatory) | NO +|coordinates | A collection of geometries represented by lists of sampled positions. | JSON Array (or Null for collection types)| Zero-to-one (mandatory for simple types) | YES +|datetimes | A collection of datetimes when the coordinates are sampled. | JSON Array (or Null for collection types)| Zero-to-one (mandatory for simple types) | YES +|members | A navigation property to address temporal-geometry elements of the collection types such as "MultiMovingPoint", "MultiMovingLineString", "MultiMovingPolygon", and "MovingGeometryCollection". | TemporalGeometry (or Null for simple types)| Zero-to-many | NO +|interpolations| A navigation property to address the interpolation methods. | Interpolation (or Null for collection types)| Zero-to-many (mandatory for simple types) | YES +|=========================================================== + +- *TemporalProperty Class*: The class for accessing the temporal properties of moving features. A TemporalProperty resource is optionally to be implemented in a moving-feature service. The minimum properties for the class are defined by: + +[width="99%", cols="2,3,3,2,3", options="header"] +|=========================================================== +|Name |Description | Data type | Multiplicity and use | Editable +|name | A name of dynamic attribute of feature. | JSON String | One (mandatory) | YES (but, no duplication within a moving feature.) +|uom | A symbol or URI to address the unit of measurement. | JSON String or Null | Zero-to-one | YES +|values | A collection of sampled values to represent dynamic changes of feature attribute. | JSON Array | One (mandatory) | YES +|datetimes | A collection of datetimes when the values are sampled. | JSON Array | One (mandatory) | YES +|interpolations| A navigation property to address the interpolation methods. | Interpolation | One-to-many (mandatory) | YES +|=========================================================== + +- *Interpolation Class*: The class for accessing an interpolation method. An Interpolation resource is required to be implemented with the following properties in a moving-feature service: + +[width="99%", cols="2,3,3,2,3", options="header"] +|=========================================================== +|Name |Description | Data type | Multiplicity and use | Editable +|@id | It is the unique and system-generated identifier. | JSON Any | One (mandatory) | NO +|name | A name of interpolation. | JSON String | One (mandatory) | NO +|formulas | A collection of formulas to estimate arbitrary values at time. | JSON Any | Zero-to-one | NO +|=========================================================== + +For pre-defined methods such as `"Discrete"`, `"Stepwise"`, `"Linear"`, and `"Spline"`, the client cannot edit the names of methods. +This practice assumes that the name of a user-defined interpolation formula is automatically assigned by the service when moving features are inserted. + +- *Property Class*: The class for accessing the static properties of moving features. A Property resource is optionally to be implemented in a moving-feature service. The minimum properties for the class are defined by: + +[width="99%", cols="2,3,3,2,3", options="header"] +|=========================================================== +|Name |Description | Data type | Multiplicity and use | Editable +|name | A name of feature attribute. | JSON String | One (mandatory) | YES (but, no duplication within a moving feature.) +|value | A value of feature attribute. | JSON Any | One (mandatory) | YES +|=========================================================== + +- *FeatureLayer Class*: The class for a collection of moving features to manage data in a distinct (physical or logical) space; this is an optional resource and can be replaced by an Application-dependent feature. +When the service implements this class, the following properties may be required: + +[width="99%", cols="2,3,3,2,3", options="header"] +|=========================================================== +|Name |Description | Data type | Multiplicity and use | Editable +|name |A property indicates the label of a FeatureLayer resource | JSON String | One (mandatory) | YES (but, no duplication.) +|description | A property describes a short comment about the layer | JSON String | One (mandatory) |YES +|updateFrequency | A property provides the connectivity of movement within a time interval (second) | Integer | One (mandatory) | YES (but, the previous data are not affected.) +|features | A navigation property to address each moving feature | MovingFeature | Zero-to-many | YES +|=========================================================== + +[NOTE] +The moving-feature service needs to manage the connectivity of features' movement by using the updateFrequency interval. If the updateFrequency interval is 0, the server does not manage the connectivity of movements. + +==== Resource Path Patterns + +Each resource in the service has at least one URL. +The recommended pattern of resource URL paths to address a collection of MovingFeature entities, a MovingFeature entity, and their properties may be formed as: +[source] +.URL patterns without a FeatureLayer resource + - SERVICE_ROOT/MovingFeatures + - SERVICE_ROOT/MovingFeatures(@id) + - SERVICE_ROOT/MovingFeatures(@id)/temporalGeometry + - SERVICE_ROOT/MovingFeatures(@id)/temporalProperties + - SERVICE_ROOT/MovingFeatures(@id)/temporalProperties($NAME) + - SERVICE_ROOT/MovingFeatures(@id)/properties + - SERVICE_ROOT/MovingFeatures(@id)/properties($NAME) + +[NOTE] +@id is the identifier of moving feature; therefore, the server needs to return its identifier when a client inserts a new feature or provides a way to access each identifier. + + +If the server implements the FeatureLayer resource, it is recommend that the path pattern of resource be formed as: +[source] +.URL patterns with FeatureLayer resources + - SERVICE_ROOT/FeatureLayers/ + - SERVICE_ROOT/FeatureLayers($NAME)/features + - SERVICE_ROOT/FeatureLayers($NAME)/features(@id) + - SERVICE_ROOT/FeatureLayers($NAME)/features(@id)/temporalGeometry + - SERVICE_ROOT/FeatureLayers($NAME)/features(@id)/temporalProperties + - SERVICE_ROOT/FeatureLayers($NAME)/features(@id)/temporalProperties($NAME) + - SERVICE_ROOT/FeatureLayers($NAME)/features(@id)/properties + - SERVICE_ROOT/FeatureLayers($NAME)/features(@id)/properties($NAME) + +[NOTE] + $NAME is replaced by a value of property `name`. + +[WARNING] +========== + For the root type of resources, a server should take one resource type of MovingFeatures or FeatureLayers. Both a MovingFeatures and FeatureLayers resource cannot exist at the same level. +========== + +==== Resource Path Examples + +A client can make a request against the resources via URL using various HTTP methods: POST, GET, PUT/PATCH, and DELETE. + +[source] +.Example 7.1: To insert a moving feature data into the service. +---- +>>> Request +POST SERVICE_ROOT/MovingFeatures HTTP1.1 +Content-Type: application/geo+json +{ + "type": "MovingFeature", + "temporalGeometry": { + "type": "MovingPoint", // a geometry type to represent a trajectory object + "coordinates": [ [100.0, 0.0], [101.0, 0.0], [101.0, 1.0], [100.0, 1.0] ], + "datetimes": ["2011-07-14T22:01:01Z", "2011-07-14T23:01:01Z", "2011-07-15T00:01:01Z", "2011-07-15T01:01:01Z"], + "interpolations": ["Linear"] + }, + "temporalProperties": [ //(optional) + { + "datetimes" : ["2011-07-14T22:01:01Z", "2011-07-14T23:01:01Z", "2011-07-15T00:01:01Z"], + "length": { + "uom": "http://www.qudt.org/qudt/owl/1.0.0/quantity/Length", // a URL denoting a unit-of-measure + "values": [1.0, 2.4, 1.0], + "interpolations": ["Stepwise"] + } + } + ] +} + +<<< Response +201 CREATED +{ + “@id”: “mf0001", + “@created”: "2012-07-14T22:01:01" // Application-defined property +} +---- + +[source] +.Example 7.2: To insert a list of moving feature data into the service with the "application/geo+json-seq" content type. +---- +>>> Request +POST SERVICE_ROOT/MovingFeatures HTTP1.1 +Content-Type: application/geo+json-seq +{ "type": "MovingFeature", "temporalGeometry": {...}, "temporalProperties": [...]} +{ "type": "MovingFeature", "temporalGeometry": {...}, "temporalProperties": [...]} +{ "type": "MovingFeature", "temporalGeometry": {...}, "temporalProperties": [...]} + +<<< Response +201 CREATED +{ + “@id”: [“mf0001", “mf0002", “mf0003"] + “@created”: "2012-07-14T22:01:01" // Application-defined property +} +---- + + +[source] +.Example 7.3: To add new trajectory data into a stored moving feature. +---- +>>> Request +POST SERVICE_ROOT/MovingFeatures('mf0001')/temporalGeometry HTTP1.1 +Content-Type: application/geo+json +{ + "type": "MovingPoint", // a geometry type to represent a trajectory object + "coordinates": [ [100.0, 0.0], [101.0, 0.0]], + "datetimes": ["2011-07-16T02:01:01Z", "2011-07-16T06:01:01Z"], + "interpolation": ["Linear"] +} + +<<< Response +201 CREATED +{ + “@modified”: "2012-07-14T22:01:01" // Application-defined property +} +---- + +[source] +.Example 7.4: To get the list of all the temporal property information. +---- +>>>> Request +GET SERVICE_ROOT/MovingFeatures('mf0001')/temporalProperties HTTP1.1 + +<<< Response +200 OK +[ + { + "datetimes" : ["2011-07-14T22:01:01Z", "2011-07-14T23:01:01Z", "2011-07-15T00:01:01Z"], + "length": { + "uom": "http://www.qudt.org/qudt/owl/1.0.0/quantity/Length", + "values": [1.0, 2.4, 1.0], + "interpolations": ["Stepwise"] + } + } +] +---- + +[source] +.Example 7.5: To retrieve a temporal property information whose name is 'dose'. +---- +>>> Request +GET SERVICE_ROOT/MovingFeatures('mf0001')/temporalProperties('dose') HTTP1.1 + +<<< Response +200 OK +{ + "datetimes" : ["2011-07-14T22:01:01Z", "2011-07-15T12:01:01Z"], + "dose": { + "uom": "http://www.qudt.org/qudt/owl/1.0.0/quantity/AbsorbedDose", + "values": [0.003, 0.003], + "interpolations": ["Discrete"] + } +} +---- + +[source] +.Example 7.6: To modify the name of a property. +---- +>>> Request +PUT SERVICE_ROOT/MovingFeatures('mf0001')/properties#name='title' HTTP1.1 + +<<< Response +204 NO CONTENT +---- + +[#queries,reftext='7.3'] +=== Access Interfaces + +The OGC Moving Features Access [OGC 16-120r3] document requires three types of operations for accessing moving feature data: Type A, Type B, and Type C as follows: + +- Type A: Retrieval of feature attribute + +For example, these operations retrieve positions, trajectories, and velocities of a moving feature such as a car, a person, a vessel, an aircraft, and a hurricane. +- Type B: Operations between one trajectory object and one or more geometry objects + +An example of these operations is “intersection” between a geometry object like an administrative boundary and a trajectory of a moving feature like a car, a person, a vessel, an aircraft, and a hurricane. +- Type C: Operations between two trajectory objects + +An example of these operations is to calculate a distance of the nearest approach of a trajectory to another trajectory. The case studies are distance between a criminal agent and a police agent for predicting crime patterns or distance between soccer players for making proper tactics. + +OGC Moving Feature Access provides a guideline for implementing interfaces to support moving feature data calculations in a database, data service, or an application using various programming languages or protocols (e.g., SQL functions, Java APIs, and Web APIs). +This sub-clause exemplifies how to realize those operations using RESTful API based on a resource URL, followed by the query option parts. +The client is able to retrieve a resource representation using a HTTP GET request. + +====== +*"GET" _SERVICE_ROOT_ "/" _RESOURCE_PATH_ "?" _QUERY_OPTIONS_ "HTTP/1.1"* +====== + +This document basically follows the usage of query options ($filter, $count, $orderby, $skip, $top, $select, and $search) as used in the OGC SensorThings API standard [OGC 15-078r6]. +The OGC SensorThings API provides a good example of adaptation in OData protocols [OData-Part1] and extension of geospatial query functions. +This practice employs the `$select`, `$filter`, and `$search` options in moving feature operations. +In order to make a simple rule for the query options, the abstract operations of moving features as identified in [OGC 16-120r3] are re-categorized into three interfaces as shown in <>: *Harvest*, *Relation*, and *Analysis*. +Interface *GeoSpatial* and *Temporal* are additionally defined to access derived properties from a TemporalGeometry and TemporalProperty resource. + +[WARNING] +The <> omits the parameters and return types of Type A, B, and C operations. The detailed specification of each operation in Type A, B, and C (gray color boxes) is described by the OGC Moving Features Access standard. +The other interfaces (yellow color boxes) are not related to the OGC Moving Features Access standard. + +[#interfaces,reftext='{figure-caption} {counter:figure-num}'] +.Interface Types of RESTful API +image::restinterfaces.png[Moving Feature Interfaces, pdfwidth=100%, width=100%, align="center"] + +- *Harvest Interface*: This interface mostly implements the Type A operations to retrieve feature attributes. The practice uses `geometryAtTime` and `timeAtGeometry` to extend the geometry types not only 0-dimensional geometry objects but also 1- and 2-dimensional geometry objects instead of _pointAtTime_ and _timeAtPoint_ in the Moving Features Access document. +In addition, operation `stBoundedBy` is added to return the boundary object containing moving features in a spatiotemporal domain. This interface is realized with <>. + +- *Relation Interface*: This interface implements the topological relationship operations in Type B (between trajectory and geometry objects) and Type C (between two trajectory objects), such as _disjoint_ and _intersects_. The practice changes the name of _distanceWithin_ to `within` to exclude the distance parameter. Moreover, new relations of `enters`, `leaves`, and `passes` are defined to clarify its temporal order of topological changes of relation from _intersects_. + +<> shows the examples of each relation. This interface is realized with <>. + + +[#relations,reftext='{figure-caption} {counter:figure-num}'] +.Specialized Relations of Moving Features from _intersects_ (latexmath:[t_i < t_j < t_k] for time instant latexmath:[t_i, t_j, t_k]) +image::mfrelations.png[Moving Feature Relations, pdfwidth=50%, width=50%, align="center"] + +- *Analysis Interface*: This interface implements the analysis operations in Type B (between trajectory and geometry objects) and Type C (between two trajectory objects), such as _nearestApproach_ and _difference_. The operations return a new object as a computation result. For example, operation "nearestApproach" with geometric object calculates the distance between a trajectory and the geometry or between two trajectories, and returns a distance in time. This practice additionally defines two more operations: `buffer` and `convoy`. +The `buffer` operation returns a temporal geometry (simple or collection) covering all points within a given distance from a target temporal geometry (simple or collection). +The `convoy` operation returns the minimum bounding temporal geometry enclosing a group of moving features such that these features are consecutively close to each other (the k-nearest neighbors from a target) during a given time period. +<> shows the result examples of `buffer` and `convoy` operations. This interface is realized with <>. + + +[#analysis,reftext='{figure-caption} {counter:figure-num}'] +.Examples of Analysis Operations +image::mfanalysis.png[Moving Feature Analysis, pdfwidth=60%, width=60%, align="center"] + +- *GeoSpatial Interface*: This interface provides the function `dimension` that returns the maximum dimension of leaf geometry objects and `boundary` that returns the closure of the combinatorial geospatial boundary of all leaves (a foliation) for a temporal geometry resource. This interface is realized with <>. + +- *Temporal Interface*: This interface provides the functions `snapshot` and `slice` that returns a sub-object of a temporal geometry/property at a given time instant and time period, respectively. The `boundedBy` function returns the temporal range covering its prism. This interface is realized with <>. + +[#select_query] +==== Query Option `$select` + +The `$select` query option requests the service to harvest the properties or return a value derived from properties. The operations of *Harvest*, *GeoSpatial*, and *Temporal* are realized with the `$select` query option corresponding to a MovingFeature or FeatureLayer resource. + +[source] +.Example 7.7: geometryAtTime of a moving feature with ID. +---- +>>> Request +GET SERVICE_ROOT/MovingFeatures('mf0001')?$select=geometryAtTime(2008-02-04T00:00:00Z) HTTP1.1 + +<<< Response +200 OK +Content_Type: application/geo+json +{ + "geometryAtTime" : { + "type" : "POINT", + "coordinates" : [ 116.35072, 39.96354 ] + } +} +---- + +[source] +.Example 7.8: geometryAtTime of all moving features. +---- +>>> Request +GET SERVICE_ROOT/MovingFeatures?$select=geometryAtTime(2008-02-04T00:00:00Z) HTTP1.1 + +<<< Response +200 OK +Content_Type: application/geo+json +[ + { + "@id" : "mf0001", + "geometryAtTime" : { + "type" : "POINT", + "coordinates" : [ 116.35072, 39.96354 ] + } + }, + { + "@id" : "mf0002", + "geometryAtTime" : { + "type" : "POINT", + "coordinates" : [ 116.01843751281389, 39.909385232047136 ] + } + } +] +---- + +[source] +.Example 7.9: timeAtGeometry of a moving feature with ID. +---- +>>> Request +GET SERVICE_ROOT/MovingFeatures('mf0001')?$select=timeAtGeometry(POINT(116.4%2039.8)) HTTP1.1 + +<<< Response +200 OK +Content_Type: application/geo+json +{ + "timeAtGeometry" : [ "2008-02-07T13:00:37Z", "2008-02-07T13:00:51Z", "2008-02-08T13:35:57Z", "2008-02-08T13:36:06Z", "2008-02-06T13:08:32Z", "2008-02-06T13:08:29Z", "2008-02-07T23:04:51Z", "2008-02-07T23:04:55Z", "2008-02-06T23:09:41Z", "2008-02-06T23:09:56Z", "2008-02-04T00:36:14Z", "2008-02-04T00:36:23Z", "2008-02-05T13:17:28Z", "2008-02-05T13:17:39Z" ] +} +---- + +[source] +.Example 7.10: timeAtGeometry of all moving features. +---- +>>> Request +GET SERVICE_ROOT/MovingFeatures?$select=timeAtGeometry(POINT(116.4%2039.8)) HTTP1.1 + +<<< Response +200 OK +Content_Type: application/geo+json +[ + { + "@id" : "mf0001", + "timeAtGeometry" : [ "2008-02-07T13:00:37Z", "2008-02-07T13:00:51Z", "2008-02-08T13:35:57Z", "2008-02-08T13:36:06Z", "2008-02-06T13:08:32Z", "2008-02-06T13:08:29Z", "2008-02-07T23:04:51Z", "2008-02-07T23:04:55Z", "2008-02-06T23:09:41Z", "2008-02-06T23:09:56Z", "2008-02-04T00:36:14Z", "2008-02-04T00:36:23Z", "2008-02-05T13:17:28Z", "2008-02-05T13:17:39Z" ] + }, + { + "@id": "mf0002", + "timeAtGeometry": ["2013-05-01T10:33:45Z"] + } +] +---- + +[source] +.Example 7.11: velocity of the all moving feature. +---- +>>> Request +GET SERVICE_ROOT/MovingFeatures?$select=velocity(2008-02-04T00:00:00Z) HTTP1.1 + +<<< Response +200 OK +Content_Type: application/geo+json +[ + { + "@id" : "mf0001", + "velocity" : [ 0.0, 0.0 ] + }, + { + "@id" : "mf0002", + "velocity" : [ -5.42125853725347E-4, 1.0906301588750913E-4 ] + } +] +---- + +[source] +.Example 7.12: timeAtCummulativeDistance of a moving feature with ID. +---- +>>> Request +GET SERVICE_ROOT/MovingFeatures('mf0001')?$select=timeAtCummulativeDistance(1,%22km%22) HTTP1.1 + +<<< Response +200 OK +Content_Type: application/geo+json +{ + "timeAtCummulativeDistance" : "2008-02-02T22:35:04Z" +} +---- + +[source] +.Example 7.13: stBoundedBy of moving features. +---- +>>> Request +GET SERVICE_ROOT/MovingFeatures?$select=stBoundedBy() HTTP1.1 + +<<< Response +200 OK +Content_Type: application/geo+json +[ + { + "@id" : "mf0001", + "stBoundedBy" : { + "bbox": [-10.0, -10.0, 10.0, 10.0], + "period": { + "begin": "1994-11-05T13:15:30Z", + "end" : "1994-11-05T13:15:30Z" + } + } + }, + { + "@id" : "mf0002", + "stBoundedBy" : { + "bbox": ..., + "period": ... + } + } +] +---- + +[source] +.Example 7.14: subTrajectory of a moving feature with ID. +---- +>>> Request +GET SERVICE_ROOT/MovingFeatures('mf0001')?$select=subTrajectory(2008-02-03T23:00:00Z,2008-02-03T23:05:00Z) HTTP1.1 + +<<< Response +200 OK +Content_Type: application/geo+json +{ + "subTrajectory" : { + "type" : "MovingPoint", + "datetimes" : [ "2008-02-03T23:00:00Z", "2008-02-03T23:04:34Z", "2008-02-03T23:03:49Z", "2008-02-03T23:03:04Z", "2008-02-03T23:02:19Z", "2008-02-03T23:01:29Z", "2008-02-03T23:00:44Z", "2008-02-03T23:00:04Z", "2008-02-03T23:04:39Z", "2008-02-03T23:03:54Z", "2008-02-03T23:03:09Z", "2008-02-03T23:02:24Z", "2008-02-03T23:01:34Z", "2008-02-03T23:00:49Z", "2008-02-03T23:00:09Z", "2008-02-03T23:04:44Z", "2008-02-03T23:03:59Z", "2008-02-03T23:03:14Z", "2008-02-03T23:02:29Z", "2008-02-03T23:01:39Z", "2008-02-03T23:00:54Z", "2008-02-03T23:00:14Z", "2008-02-03T23:04:49Z", "2008-02-03T23:04:04Z", "2008-02-03T23:03:19Z", "2008-02-03T23:02:34Z", "2008-02-03T23:01:49Z", "2008-02-03T23:00:59Z", "2008-02-03T23:00:19Z", "2008-02-03T23:04:56Z", "2008-02-03T23:04:09Z", "2008-02-03T23:03:24Z", "2008-02-03T23:02:39Z", "2008-02-03T23:01:54Z", "2008-02-03T23:01:04Z", "2008-02-03T23:00:24Z", "2008-02-03T23:04:14Z", "2008-02-03T23:03:29Z", "2008-02-03T23:02:49Z", "2008-02-03T23:01:59Z", "2008-02-03T23:01:09Z", "2008-02-03T23:00:29Z", "2008-02-03T23:04:19Z", "2008-02-03T23:03:34Z", "2008-02-03T23:02:54Z", "2008-02-03T23:02:04Z", "2008-02-03T23:01:19Z", "2008-02-03T23:00:34Z", "2008-02-03T23:04:29Z", "2008-02-03T23:03:44Z", "2008-02-03T23:02:59Z", "2008-02-03T23:02:09Z", "2008-02-03T23:01:24Z", "2008-02-03T23:00:39Z", "2008-02-03T23:05:00Z" ], + "coordinates" : [ [ 116.35079, 39.96372 ], [ 116.35076, 39.96383 ], [ 116.35076, 39.96383 ], [ 116.35076, 39.96383 ], [ 116.35102, 39.96422 ], [ 116.35079, 39.96374 ], [ 116.35079, 39.96373 ], [ 116.35079, 39.96372 ], [ 116.35076, 39.96383 ], [ 116.35076, 39.96383 ], [ 116.35076, 39.96383 ], [ 116.35102, 39.96422 ], [ 116.35079, 39.96374 ], [ 116.35079, 39.96373 ], [ 116.35079, 39.96373 ], [ 116.35076, 39.96383 ], [ 116.35076, 39.96383 ], [ 116.35076, 39.96383 ], [ 116.35102, 39.96421 ], [ 116.35079, 39.96374 ], [ 116.35079, 39.96373 ], [ 116.35079, 39.96373 ], [ 116.35076, 39.96383 ], [ 116.35076, 39.96383 ], [ 116.35076, 39.96383 ], [ 116.35076, 39.96383 ], [ 116.35107, 39.96425 ], [ 116.35079, 39.96373 ], [ 116.35079, 39.96373 ], [ 116.35076, 39.96383 ], [ 116.35076, 39.96383 ], [ 116.35076, 39.96383 ], [ 116.35076, 39.96383 ], [ 116.35106, 39.96425 ], [ 116.35079, 39.96373 ], [ 116.35079, 39.96373 ], [ 116.35076, 39.96383 ], [ 116.35076, 39.96383 ], [ 116.35076, 39.96383 ], [ 116.35105, 39.96424 ], [ 116.35079, 39.96373 ], [ 116.35079, 39.96373 ], [ 116.35076, 39.96383 ], [ 116.35076, 39.96383 ], [ 116.35076, 39.96383 ], [ 116.35104, 39.96424 ], [ 116.35079, 39.96374 ], [ 116.35079, 39.96373 ], [ 116.35076, 39.96383 ], [ 116.35076, 39.96383 ], [ 116.35076, 39.96383 ], [ 116.35104, 39.96423 ], [ 116.35079, 39.96374 ], [ 116.35079, 39.96373 ], [ 116.35076, 39.96383 ] ], + "interpolations" : ["Linear"] + } +} +---- +The subTrajectory operation can also be realized by using the slice interface of temporal geometry as follows: + +[source] +.Example 7.15: slice of the temporal geometry of the moving feature whose identifier is 'mf0001'. +---- +>>> Request +GET SERVICE_ROOT/MovingFeatures('mf0001')/temporalGeometry?$select=slice(2008-02-03T23:00:00Z,2008-02-03T23:05:00Z) HTTP1.1 + +<<< Response +200 OK +Content_Type: application/geo+json +{ + "slice": { + "type" : "MovingPoint", + "datetimes" : [ "2008-02-03T23:00:00Z", "2008-02-03T23:04:34Z", "2008-02-03T23:03:49Z", "2008-02-03T23:03:04Z", "2008-02-03T23:02:19Z", "2008-02-03T23:01:29Z", "2008-02-03T23:00:44Z", "2008-02-03T23:00:04Z", "2008-02-03T23:04:39Z", "2008-02-03T23:03:54Z", "2008-02-03T23:03:09Z", "2008-02-03T23:02:24Z", "2008-02-03T23:01:34Z", "2008-02-03T23:00:49Z", "2008-02-03T23:00:09Z", "2008-02-03T23:04:44Z", "2008-02-03T23:03:59Z", "2008-02-03T23:03:14Z", "2008-02-03T23:02:29Z", "2008-02-03T23:01:39Z", "2008-02-03T23:00:54Z", "2008-02-03T23:00:14Z", "2008-02-03T23:04:49Z", "2008-02-03T23:04:04Z", "2008-02-03T23:03:19Z", "2008-02-03T23:02:34Z", "2008-02-03T23:01:49Z", "2008-02-03T23:00:59Z", "2008-02-03T23:00:19Z", "2008-02-03T23:04:56Z", "2008-02-03T23:04:09Z", "2008-02-03T23:03:24Z", "2008-02-03T23:02:39Z", "2008-02-03T23:01:54Z", "2008-02-03T23:01:04Z", "2008-02-03T23:00:24Z", "2008-02-03T23:04:14Z", "2008-02-03T23:03:29Z", "2008-02-03T23:02:49Z", "2008-02-03T23:01:59Z", "2008-02-03T23:01:09Z", "2008-02-03T23:00:29Z", "2008-02-03T23:04:19Z", "2008-02-03T23:03:34Z", "2008-02-03T23:02:54Z", "2008-02-03T23:02:04Z", "2008-02-03T23:01:19Z", "2008-02-03T23:00:34Z", "2008-02-03T23:04:29Z", "2008-02-03T23:03:44Z", "2008-02-03T23:02:59Z", "2008-02-03T23:02:09Z", "2008-02-03T23:01:24Z", "2008-02-03T23:00:39Z", "2008-02-03T23:05:00Z" ], + "coordinates" : [ [ 116.35079, 39.96372 ], [ 116.35076, 39.96383 ], [ 116.35076, 39.96383 ], [ 116.35076, 39.96383 ], [ 116.35102, 39.96422 ], [ 116.35079, 39.96374 ], [ 116.35079, 39.96373 ], [ 116.35079, 39.96372 ], [ 116.35076, 39.96383 ], [ 116.35076, 39.96383 ], [ 116.35076, 39.96383 ], [ 116.35102, 39.96422 ], [ 116.35079, 39.96374 ], [ 116.35079, 39.96373 ], [ 116.35079, 39.96373 ], [ 116.35076, 39.96383 ], [ 116.35076, 39.96383 ], [ 116.35076, 39.96383 ], [ 116.35102, 39.96421 ], [ 116.35079, 39.96374 ], [ 116.35079, 39.96373 ], [ 116.35079, 39.96373 ], [ 116.35076, 39.96383 ], [ 116.35076, 39.96383 ], [ 116.35076, 39.96383 ], [ 116.35076, 39.96383 ], [ 116.35107, 39.96425 ], [ 116.35079, 39.96373 ], [ 116.35079, 39.96373 ], [ 116.35076, 39.96383 ], [ 116.35076, 39.96383 ], [ 116.35076, 39.96383 ], [ 116.35076, 39.96383 ], [ 116.35106, 39.96425 ], [ 116.35079, 39.96373 ], [ 116.35079, 39.96373 ], [ 116.35076, 39.96383 ], [ 116.35076, 39.96383 ], [ 116.35076, 39.96383 ], [ 116.35105, 39.96424 ], [ 116.35079, 39.96373 ], [ 116.35079, 39.96373 ], [ 116.35076, 39.96383 ], [ 116.35076, 39.96383 ], [ 116.35076, 39.96383 ], [ 116.35104, 39.96424 ], [ 116.35079, 39.96374 ], [ 116.35079, 39.96373 ], [ 116.35076, 39.96383 ], [ 116.35076, 39.96383 ], [ 116.35076, 39.96383 ], [ 116.35104, 39.96423 ], [ 116.35079, 39.96374 ], [ 116.35079, 39.96373 ], [ 116.35076, 39.96383 ] ], + "interpolations" : ["Linear"] + } +} +---- + +However, the slice operation is for only one MovingFeature resource. This practice restricts the use of the GeoSpatial and Temporal interfaces to only TemporalGeometry or/and TemporalProperty resource types. +The following examples show the use cases of each operation. + +[source] +.Example 7.16: snapshot of the temporal property whose name is 'length' of the moving feature whose identifier is 'mf0001'. +---- +>>> Request +GET SERVICE_ROOT/MovingFeatures('mf0001')/temporalProperties('length')?$select=snapshot(2013-05-01T10:33:41Z) HTTP1.1 + +<<< Response +200 OK +Content_Type: application/geo+json +{ + "snapshot": { + "datetimes": ["2013-05-01T10:33:41Z"], + "length": { + "uom": "http://www.qudt.org/qudt/owl/1.0.0/quantity/Length", + "values": [1.2], + "interpolations": ["Discrete"] + } +} +---- + +[source] +.Example 7.17: boundedBy of the temporal geometry of the moving feature whose identifier is 'mf0001'. +---- +>>> Request +GET SERVICE_ROOT/MovingFeatures('mf0001')/temporalGeometry?$select=boundedBy() HTTP1.1 + +<<< Response +200 OK +Content_Type: application/geo+json +{ + "boundedBy": { + "begin" : "2008-02-03T23:00:00Z", + "end" : "2008-02-03T23:05:00Z" + } +} +---- + +[source] +.Example 7.18: boundary of the temporal geometry of the moving feature whose identifier is 'mf0001'. +---- +>>> Request +GET SERVICE_ROOT/MovingFeatures('mf0001')/temporalGeometry?$select=boundary() HTTP1.1 + +<<< Response +200 OK +Content_Type: application/geo+json +{ + "boundary": { + "type": "LineString", + "coordinates": [ [100.0, 0.0], [101.0, 0.0], [101.0, 1.0], [100.0, 1.0] ] + } +} +---- + +[source] +.Example 7.19: to select a part of a temporal property of the moving feature whose identifier is 'mf0001'. +---- +>>> Request +GET SERVICE_ROOT/MovingFeatures('mf0001')/temporalProperties('length')?select=values gt 10 HTTP1.1 + +<<< Response +200 OK +Content_Type: application/geo+json +{ + "temporalProperties": [{ + "datetimes": ["2017-03-13T01:00:00Z","2017-03-13T21:00:00Z", "2017-03-13T23:00:00Z"], + "length": { + "uom" : "m", + "values": [10, 15, 20], + "interpolations": "Linear" + }] +} +---- + +[#filter_query] +==== Query Option `$filter` + +The `$filter` query option allows clients to filter a collection of moving features that are addressed by a request URL. It can be applied to a specific moving feature or a collection of moving features. The `$filter` option is evaluated for each moving feature in the collection, and returns the features where the expression of the Relation interface is `true` in the response. For a specific feature, it returns `true` or `false`. The *Relation* interface is realized with the `$filter` query option. + +[source] +.Example 7.20: The disjoint operation returns true or false corresponding to a moving feature. +---- +>>> Request +GET SERVICE_ROOT/MovingFeatures('mf0001')?$filter=disjoint(LINESTRING(1%202,3%204,5%206),2008-02-02T22:31:00Z,2008-02-02T22:40:00Z) HTTP1.1 + +<<< Response +200 OK +Content_Type: application/geo+json +{ + "disjoint": true +} +---- + +[source] +.Example 7.21: The intersects operation returns the identifiers of moving features whose trajectory intersects with the parameter geometry object for a particular period of time in the collection. +---- +>>> Request +GET SERVICE_ROOT/MovingFeatures?$filter=intersects(POLYGON((30%2010%2C40%2040%2C20%2040%2C10%2020%2C30%2010)),2013-05-01T10:33:50Z,2013-05-01T10:36:41Z) HTTP1.1 + +<<< Response +200 OK +Content_Type: application/geo+json +{ + "intersects": [ "mf0001", "mf0003"] +} +---- + +[source] +.Example 7.22: The distanceWithin operation returns the identifiers of moving features which are located within 100km from the given position during the parameter time period. +---- +>>> Request +GET SERVICE_ROOT/MovingFeatures?$filter=distanceWithin(POINT(103%201.0),2013-05-01T10:33:50Z,2013-05-01T10:36:41Z,100;km) HTTP1.1 + +<<< Response +200 OK +Content_Type: application/geo+json +{ + "distanceWithin ": null +} +---- + +[NOTE] +========== +The operations of Type C between two trajectory objects provide spatiotemporal relations (e.g., intersects). +The current API tries to realize the Type C operation by a temporary method until an expression is developed for the request URL, such as the Well-Known Text (WKT) format for a geometry object. + +.(1) Create a temporal resource of FeatureLayer as follows: +----- +>>> Request +POST SERVICE_ROOT/FeatureLayers HTTP1.1 +Content-Type: application/geo+json +{ + "name": "queryfeatures", + "description": "temporal feature layer for query parameters" + "updateFrequency": 0 +} + +<<< Response +201 CREATED +{ + “@id”: "queryfeatures", + “@created”: "2012-07-14T22:01:01" +} +----- +.(2) Insert a query object into the feature layer as follows: +----- +>>> Request +POST SERVICE_ROOT/FeatureLayers('queryfeatures') HTTP1.1 +Content-Type: application/geo+json +{ + "type": "MovingFeature", + "temporalGeometry": { + .... + } +} +<<< Response +201 CREATED +{ + “@id”: "mf9999999", + “@created”: "2012-07-14T23:01:01" +} +----- +.(3) Search intersected moving features from the bus layer with the query feature. +----- +>>> Request +GET SERVICE_ROOT/FeatureLayers('bus')/features?$filter=intersects(@id)&@id='mf9999999' HTTP1.1 + +<<< Response +200 OK +Content_Type: application/geo+json +{ + "intersects": [ "mf0001", "mf0003"] +} +----- +========== + + + +[#search_query] +==== Query Option `$search` + +The `$search` query option allows clients to analyze moving features or a specific moving feature, and returns a new object as a computation result. The *Analysis* interface is realized with the `$search` query option. + +[source] +.Example 7.23: To search the nearest approach point with ID. +---- +>>> Request +GET SERVICE_ROOT/MovingFeatures('mf0001')?$search=nearestApproachPoint(LINESTRING(116.35%2039.8,116.36%2040),2008-02-04T00:00:00Z,2008-02-04T00:10:00Z) HTTP1.1 + +<<< Response +200 OK +Content_Type: application/geo+json +{ + "nearestApproachPoint" : { + "type" : "MovingPoint", + "datetimes" : [ "2008-02-04T00:06:14Z", "2008-02-04T00:06:19Z" ], + "coordinates" : [ [ 116.35089, 39.96329 ], [ 116.35814635910225, 39.962927182044886 ] ], + "interpolations" : ["Linear"] + } +} +---- + +[source] +.Example 7.24: To search the nearest approach distance for all moving features. +---- +>>> Request +GET SERVICE_ROOT/MovingFeatures?$search=nearestApproach(LINESTRING(116.35%2039.8,116.36%2040),2008-02-04T00:00:00Z,2008-02-04T00:10:00Z) HTTP1.1 + +<<< Response +200 OK +Content_Type: application/geo+json +[ + { + "@id" : "mf0001", + "nearestApproach" : { + "datetimes" : [ "2008-02-04T00:06:14Z", "2008-02-04T00:06:19Z" ], + "distance" : { + "uom" : "m", + "values" : [ 7.265423889165578, 7.265423889165578 ], + "interpolations" : ["Linear"] + } + } + } + ] +---- + +[source] +.Example 7.25: To compute each intersection object of the temporal geometry from a collection of moving features with a parameter geometry object for a particular period of time. +---- +>>> Request +GET SERVICE_ROOT/MovingFeatures?$search=intersection(POLYGON((30%2010%2C40%2040%2C20%2040%2C10%2020%2C30%2010)),2013-05-01T10:33:50Z,2013-05-01T10:36:41Z) HTTP1.1 + +<<< Response +200 OK +Content_Type: application/geo+json +[ + { + "@id": "mf001", + "intersection": { + "type": "MovingPoint, + "coordinates": [...], + "datetimes" : [...], + "interpolations": [...] + } + }, + { + "@id": "mf003", + "intersection": { + ... + } + } +] +---- + + +[NOTE] +========== +The `$search` query option can be used for the full text search of properties/temporalProperties of moving features with a set of keywords. + +For example, + +---- +>>> Request +GET SERVICE_ROOT/MovingFeatures/properties?$search=bike HTTP1.1 + +<<< Response +200 OK +Content_Type: application/geo+json +[ + { + "@id": "mf001", + "properties": { + "name": "bike", + "description": "fast bike" + } + } +] +---- + +---- +>>> Request +GET SERVICE_ROOT/MovingFeatures/properties('name')?$search=bike HTTP1.1 + +<<< Response +200 OK +Content_Type: application/geo+json +[ + { + "@id": "mf001", + "name": "bike" + } +] +---- + +---- +>>> Request +GET SERVICE_ROOT/MovingFeatures/temporalProperties?$search=(mountain OR bike) AND NOT clothing HTTP1.1 + +<<< Response +200 OK +Content_Type: application/geo+json +[ + { + "@id": "mf003", + "temporalProperties": [{ + "datetimes": ["2017-03-13T01:00:00Z","2017-03-13T21:00:00Z", "2017-03-13T23:00:00Z"], + "messages": { + "uom" : "text", + "values": ["mountain bike", "mountain", "bike"], + "interpolations": "Discrete" + }, + "annotations": { + "uom" : "text", + "values": ["a mountain bike", "a mountain", "a bike"], + "interpolations": "Discrete" + } + }] + } +] +---- + +---- +>>> Request +GET SERVICE_ROOT/MovingFeatures/temporalProperties('messages')?$search=(mountain OR bike) AND NOT clothing HTTP1.1 + +<<< Response +200 OK +Content_Type: application/geo+json +[ + { + "@id": "mf003", + "messages": { + "datetimes": ["2017-03-13T01:00:00Z","2017-03-13T21:00:00Z", "2017-03-13T23:00:00Z"], + "values": ["mountain bike", "mountain", "bike"] + } + } +] +---- + +========== + +[#addressing] +==== Addressing Entities: `$ref`, `$value` +This practice uses the symbolic resource `$ref`, located at the service root or a FeatureLayer entity, to get the URL for addressing all entities. +The symbolic resource `$value` is allowed to resolve to a single property value or to get a list of values of TemporalProperty and Property elements of a MovingFeatures resource in text/plain form. + +[source] +.Example 7.26: To get the URLs of all MovingFeatures entities if the service does not have any resource of FeatureLayer. +---- +>>> Request +GET SERVICE_ROOT/$ref HTTP1.1 + +<<< Response +200 OK +Content_Type: application/geo+json +{ + "url": ["MovingFeatures('m0001')", "MovingFeatures('m0002')"] +} +---- + +[source] +.Example 7.27: To get the URLs of all FeatureLayer entities if the service manages resources of FeatureLayer. +---- +>>> Request +GET SERVICE_ROOT/$ref HTTP1.1 + +<<< Response +200 OK +Content_Type: application/geo+json +{ + "url": ["FeatureLayers('bus')", "FeatureLayers('typhoon')"] +} +---- + +[source] +.Example 7.28: To get the URLs of all MovingFeatures entities in a FeatureLayer entity. +---- +>>> Request +GET SERVICE_ROOT/FeatureLayers('typhoon')/$ref HTTP1.1 + +<<< Response +200 OK +Content_Type: application/geo+json +{ + "url": ["features('m0001')", "features('m0002')"] +} +---- + +[source] +.Example 7.29: To get a list of names of FeatureLayer. +---- +>>> Request +GET SERVICE_ROOT/FeatureLayers/name/$value HTTP1.1 + +<<< Response +200 OK +Content_Type: text/plain +bus, typhoon +---- + +[source] +.Example 7.30: To get a list of static properties' name. +---- +>>> Request +GET SERVICE_ROOT/MovingFeatures('m0001')/properties/name/$value HTTP1.1 + +<<< Response +200 OK +Content_Type: text/plain +title, author +---- + +[source] +.Example 7.31: To get a value of a static properties. +---- +>>> Request +GET SERVICE_ROOT/MovingFeatures('m0001')/properties('title')/$value HTTP1.1 + +<<< Response +200 OK +Content_Type: text/plain +Test Title +---- + +[source] +.Example 7.32: To get a list of temporal properties' name. +---- +>>> Request +GET SERVICE_ROOT/MovingFeatures('m0001')/temporalProperties/name/$value HTTP1.1 + +<<< Response +200 OK +Content_Type: text/plain +length, dose, picture +---- + +[source] +.Example 7.33: To get a unit value of a temporal property +---- +>>> Request +GET SERVICE_ROOT/MovingFeatures('m0001')/temporalProperties('length')/uom/$value HTTP1.1 + +<<< Response +200 OK +Content_Type: text/plain +http://www.qudt.org/qudt/owl/1.0.0/quantity/Length +---- diff --git a/bp/a_1_revision-history.adoc b/bp/a_1_revision-history.adoc index f2bb35c..8ca0da2 100755 --- a/bp/a_1_revision-history.adoc +++ b/bp/a_1_revision-history.adoc @@ -1,14 +1,14 @@ -[appendix] -== Revision History - -[#revision_history,reftext='{table-caption} {counter:table-num}'] -[cols="2,2,3,3,2",options="header"] -|=============================================================================== -|Date |Release |Author |Paragraph modified |Description -|2016-08-29 | |Kyoung-Sook KIM, Hirotaka OGAWA |All |Created -|2016-09-27 | |Kyoung-Sook KIM |RESTful APIs: Resource types and interfaces |Revised -|2016-10-23 | |Kyoung-Sook KIM |Interpolation formulas, RESTful APIs|Revised -|2017-01-15 | |Kyoung-Sook KIM |RESTful APIs- Addressing Entities|Added -|2017-03-15 | |Kyoung-Sook KIM |Temporal Properties|Revised -|2017-06-12 | |Scott Simmons |All |prepare for publication -|=============================================================================== +[appendix] +== Revision History + +[#revision_history,reftext='{table-caption} {counter:table-num}'] +[cols="2,2,3,3,2",options="header"] +|=============================================================================== +|Date |Release |Author |Paragraph modified |Description +|2016-08-29 | |Kyoung-Sook KIM, Hirotaka OGAWA |All |Created +|2016-09-27 | |Kyoung-Sook KIM |RESTful APIs: Resource types and interfaces |Revised +|2016-10-23 | |Kyoung-Sook KIM |Interpolation formulas, RESTful APIs|Revised +|2017-01-15 | |Kyoung-Sook KIM |RESTful APIs- Addressing Entities|Added +|2017-03-15 | |Kyoung-Sook KIM |Temporal Properties|Revised +|2017-06-12 | |Scott Simmons |All |prepare for publication +|=============================================================================== diff --git a/bp/asciidoctor-theme.yml 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font_size: $code_font_size -image: - align_default: center - scaled_width_default: 0.5 -lead: - # QUESTION what about $base_font_size_large? - #font_size: floor($base_line_height_length * 0.8) - font_size: $base_font_size_large - line_height: 1.4 -abstract: - font_size: $base_font_size - # font_color: 999999 - font_style: normal - #line_height: $lead_line_height - # HACK set line_height to 1 to workaround spacing problem after first line - line_height: 1.4 -thematic_break: - border_color: $base_border_color - margin_top: $vertical_rhythm * 0.5 - margin_bottom: $vertical_rhythm * 1.5 -description_list: - term_font_style: bold - description_indent: $horizontal_rhythm * 1.25 -outline_list: - indent: $horizontal_rhythm * 1.25 -table: - background_color: transparent - background_color_alt: F9F9F9 - border_color: DDDDDD - border_width: $base_border_width - # HACK accounting for line-height - cell_padding: [3, 3, 6, 3] - image_valign: 50 -footer: - font_size: $base_font_size_small - # NOTE if background_color is set, background and border will span width of page - border_color: dddddd - border_width: 0.25 - height: $base_line_height_length * 2.5 - line_height: 1 - padding: [$base_line_height_length / 2, 1, 0, 1] - vertical_align: top - #image_vertical_align: or - # additional attributes for content: - # * {page-count} - # * {page-number} - # * {document-title} - # * {document-subtitle} - # * {chapter-title} - # * {section-title} - # * {section-or-chapter-title} - recto: - #columns: "<50% =0% >50%" - #right: - #content: '{page-number}' - #content: '{section-or-chapter-title} | {page-number}' - #content: '{document-title} | {page-number}' - center: - content: '{page-number}' - verso: - #columns: $footer_recto_columns - #left: - #content: '{page-number}' - #content: '{page-number} | {chapter-title}' - center: - content: '{page-number}' -header: - font_size: $base_font_size_small - font_color: $base_font_color - height: 20mm - valign: bottom - border_color: dddddd - border_width: 0.25 - recto_content: - left: 'OGC 16-140r1' - verso_content: - right: 'OGC 16-140r1' +font: + catalog: + NotoSerif: + normal: notoserif-regular-subset.ttf + bold: notoserif-bold-subset.ttf + italic: notoserif-italic-subset.ttf + bold_italic: notoserif-bold_italic-subset.ttf + # NOTE currently, callout numbers don't work with LiberationMono + LiberationMono: + normal: LiberationMono-Regular.ttf + bold: LiberationMono-Bold.ttf + italic: LiberationMono-Italic.ttf + bold_italic: LiberationMono-BoldItalic.ttf + Mplus1mn: + normal: mplus1mn-regular-ascii-conums.ttf + bold: mplus1mn-bold-ascii.ttf + italic: mplus1mn-italic-ascii.ttf + bold_italic: mplus1mn-bolditalic-ascii.ttf + #Mplus1pMultilingual: + # normal: mplus1p-regular-multilingual.ttf + #FontAwesome: + # normal: fontawesome-regular.ttf + # FIXME using fallbacks breaks use of custom font styles (fixed in Prawn 1.2.1!) + #fallbacks: + # - Mplus1pMultilingual +brand: + primary_color: 005498 +page: + background_color: FFFFFF + layout: portrait + # multiply inches by 72 to get pt values + # margin: [0.5 * 72, 0.67 * 72, 0.67 * 72, 0.67 * 72] + margin: [25mm, 20mm, 20mm, 20mm] + size: Letter +title_page: + align: right + logo: + top: 10% + content: 'aaaaa' + title: + top: 10% + font_size: $heading_h1_font_size + font_color: 000000 + line_height: 0.9 + subtitle: + font_size: $heading_h3_font_size + font_style: bold_italic + line_height: 1 + authors: + margin_top: $base_font_size * 1.25 + font_size: $base_font_size_large + font_color: 181818 + revision: + margin_top: $base_font_size * 1.25 +base: + font_color: 222222 + font_family: NotoSerif + # Helvetica Courier + # choose one of these font_size/line_height_length combinations + #font_size: 14 + #line_height_length: 20 + #font_size: 11.25 + #line_height_length: 18 + #font_size: 11.2 + #line_height_length: 16 + font_size: 10.5 + #line_height_length: 15 + # correct line height for NotoSerif metrics + line_height_length: 12 + #font_size: 11.25 + #line_height_length: 18 + line_height: $base_line_height_length / $base_font_size + font_size_large: round($base_font_size * 1.25) + font_size_small: round($base_font_size * 0.85) + font_style: normal + align: justify + border_radius: 4 + border_width: 0.5 + border_color: DDDDDD +# FIXME vertical_rhythm is weird; we should think in terms of ems +#vertical_rhythm: $base_line_height_length * 2 / 3 +# correct line height for NotoSerif metrics +vertical_rhythm: $base_line_height_length +horizontal_rhythm: $base_line_height_length +link_font_color: $brand_primary_color +heading: + font_color: BA3925 + font_family: $base_font_family + #font_size_h1: floor($base_font_size * 2.6) + #font_size_h2: floor($base_font_size * 2.15) + #font_size_h3: round($base_font_size * 1.7) + font_size_h1: floor($base_font_size * 2.1) + font_size_h2: floor($base_font_size * 1.9) + font_size_h3: round($base_font_size * 1.7) + font_size_h4: $base_font_size_large + font_size_h5: $base_font_size + font_size_h6: $base_font_size_small + font_style: bold + #line_height: 1.4 + # correct line height for NotoSerif metrics + line_height: 1.2 + margin_top: $vertical_rhythm * 0.2 + margin_bottom: $vertical_rhythm * 0.8 +#prose: +# margin_top: 0 +# margin_bottom: $vertical_rhythm +block: + #margin_top: 0 + #margin_bottom: $vertical_rhythm + padding: [$vertical_rhythm, $vertical_rhythm * 1.25, $vertical_rhythm, $vertical_rhythm * 1.25] +# code is used for source blocks (perhaps change to source or listing?) +code: + font_color: $base_font_color + #font_family: LiberationMono + font_size: floor($base_font_size * 0.9) + font_family: Mplus1mn + #font_size: ceil($base_font_size ) + #padding: [$base_font_size, $code_font_size, $base_font_size, $code_font_size] + padding: $code_font_size + #line_height: 1.25 + line_height: 1.15 + background_color: F7F7F8 + border_color: FFFFFF + border_radius: $base_border_radius + border_width: 0 +# literal is currently used for inline monospaced in prose and table cells +literal: + #font_family: $code_font_family + font_family: LiberationMono + font_color: 6D180B +blockquote: + align: center + font_color: 6F6F6F + font_size: $base_font_size_small + cite_font_size: $base_font_size_small + cite_font_color: 555555 + border_width: 0 +sidebar: + border_color: D9D9D9 + border_radius: $base_border_radius + border_width: $base_border_width + background_color: F2F2F2 + title_font_color: 7A2518 + title_font_family: $heading_font_family + title_font_size: $heading_font_size_h4 + title_font_style: normal + title_align: left +example: + border_color: E6E6E6 + border_radius: $base_border_radius + border_width: 0.75 + background_color: transparent +admonition: + border_color: $base_border_color + border_width: $base_border_width +caption: + font_color: 7A2518 + font_style: bold + align: center + margin_inside: $vertical_rhythm * 0.25 + margin_outside: 0 +conum: + font_family: Mplus1mn + font_color: $literal_font_color + font_size: $code_font_size +image: + align_default: center + scaled_width_default: 0.5 +lead: + # QUESTION what about $base_font_size_large? + #font_size: floor($base_line_height_length * 0.8) + font_size: $base_font_size_large + line_height: 1.4 +abstract: + font_size: $base_font_size + # font_color: 999999 + font_style: normal + #line_height: $lead_line_height + # HACK set line_height to 1 to workaround spacing problem after first line + line_height: 1.4 +thematic_break: + border_color: $base_border_color + margin_top: $vertical_rhythm * 0.5 + margin_bottom: $vertical_rhythm * 1.5 +description_list: + term_font_style: bold + description_indent: $horizontal_rhythm * 1.25 +outline_list: + indent: $horizontal_rhythm * 1.25 +table: + background_color: transparent + background_color_alt: F9F9F9 + border_color: DDDDDD + border_width: $base_border_width + # HACK accounting for line-height + cell_padding: [3, 3, 6, 3] + image_valign: 50 +footer: + font_size: $base_font_size_small + # NOTE if background_color is set, background and border will span width of page + border_color: dddddd + border_width: 0.25 + height: $base_line_height_length * 2.5 + line_height: 1 + padding: [$base_line_height_length / 2, 1, 0, 1] + vertical_align: top + #image_vertical_align: or + # additional attributes for content: + # * {page-count} + # * {page-number} + # * {document-title} + # * {document-subtitle} + # * {chapter-title} + # * {section-title} + # * {section-or-chapter-title} + recto: + #columns: "<50% =0% >50%" + #right: + #content: '{page-number}' + #content: '{section-or-chapter-title} | {page-number}' + #content: '{document-title} | {page-number}' + center: + content: '{page-number}' + verso: + #columns: $footer_recto_columns + #left: + #content: '{page-number}' + #content: '{page-number} | {chapter-title}' + center: + content: '{page-number}' +header: + font_size: $base_font_size_small + font_color: $base_font_color + height: 20mm + valign: bottom + border_color: dddddd + border_width: 0.25 + recto_content: + left: 'OGC 16-140r1' + verso_content: + right: 'OGC 16-140r1' diff --git a/bp/asciidoctor.css b/bp/asciidoctor.css index d919f85..1f4bddd 100755 --- a/bp/asciidoctor.css +++ b/bp/asciidoctor.css @@ -1,407 +1,407 @@ -/* Asciidoctor default stylesheet | MIT License | http://asciidoctor.org */ -/* Remove comment around @import statement below when using as a custom stylesheet */ -/*@import "https://fonts.googleapis.com/css?family=Open+Sans:300,300italic,400,400italic,600,600italic%7CNoto+Serif:400,400italic,700,700italic%7CDroid+Sans+Mono:400,700";*/ -article,aside,details,figcaption,figure,footer,header,hgroup,main,nav,section,summary{display:block} -audio,canvas,video{display:inline-block} -audio:not([controls]){display:none;height:0} -[hidden],template{display:none} -script{display:none!important} -html{font-family:sans-serif;-ms-text-size-adjust:100%;-webkit-text-size-adjust:100%} -body{margin:0} -a{background:transparent} -a:focus{outline:thin dotted} -a:active,a:hover{outline:0} 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J.: Unified Code for Units of Measure (UCUM), unitsofmeasure.org -- [[[2]]] EPSG: EPSG Geodetic Parameter Dataset, www.epsg.org -- [[[3]]] IETF: [RFC 7946] The GeoJSON Format, 2016 +== Bibliography + +[bibliography] +- [[[1]]] Schadow, G. and McDonald, C. 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text-shadow: 1px 1px 2px rgba(155, 155, 0, 0.8); + color: #111; +} + +.admonitionblock td.icon .icon-warning:before { + content: "\f071"; + color: #bf6900; +} + +.admonitionblock td.icon .icon-caution:before { + content: "\f06d"; + color: #bf3400; +} + +.admonitionblock td.icon .icon-important:before { + content: "\f06a"; + color: #bf0000; +} + +.conum[data-value] { + display: inline-block; + color: #fff !important; + background-color: rgba(0, 0, 0, 0.8); + -webkit-border-radius: 100px; + border-radius: 100px; + text-align: center; + font-size: 0.75em; + width: 1.67em; + height: 1.67em; + line-height: 1.67em; + font-family: "Open Sans", "DejaVu Sans", sans-serif; + font-style: normal; + font-weight: bold; +} + +.conum[data-value] * { + color: #fff !important; +} + +.conum[data-value] + b { + display: none; +} + +.conum[data-value]:after { + content: attr(data-value); +} + +.conum:not([data-value]):empty { display: none; } +.literalblock > .content > pre, .listingblock > .content > pre { -webkit-border-radius: 0; border-radius: 0; } +#ogctext {color: #000;} +#ogctitle {font-family: Georgia, "URW Bookman L", Helvetica, Arial, sans-serif; font-size: 26pt;text-align:center;font-weight:bold; color: #c7513a;} +ins {color: green; background: yellow; text-decoration: none;} +del {color: red;} +.docwarning {border: 1px solid #F00; border-radius: 1em; margin: 10px; padding: 10px; text-align: center;} diff --git a/bp/index.adoc b/bp/index.adoc index 98118b2..5afcf12 100755 --- a/bp/index.adoc +++ b/bp/index.adoc @@ -1,101 +1,101 @@ -:title: OGC Moving Features Encoding Extension - JSON -:titletext: OGC Moving Features Encoding Extension - JSON -:doctype: book -:encoding: utf-8 -:lang: en -:toc: -:toc-placement!: -:toclevels: 3 -:sectanchors: -:icons: font -:source-highlighter: coderay //pygments -:math: -:imagesdir: ./images -:stem: latexmath, pass -:toc-title: Contents -:linkcss: -:notitle: - -= {title} - -ifndef::backend-pdf[] -<<< -[width="99%", cols = ">",frame = "none",grid = "none"] -|=== -|{set:cellbgcolor:#FFFFFF} -|[big]*Open Geospatial Consortium* -|Submission Date: 2017-01-17 -|Approval Date:   2017-03-24 -|Publication Date:   2017-06-15 -|External identifier of this OGC® document: http://www.opengis.net/doc/BP/mf-json/1.0 -|Internal reference number of this OGC® document:    OGC 16-((140r2)) -|Version: 1.0 -|Category: OGC® Best Practice -|Editor:   Kyoung-Sook KIM, Hirotaka OGAWA -|=== - -[.title, id="ogctitle"] -{titletext} - - -[width="99%", cols = "^", frame = "none", grid = "none"] -|=== -|*Copyright notice* -|Copyright © 2017 Open Geospatial Consortium -|To obtain additional rights of use, visit http://www.opengeospatial.org/legal/ -|=== - -[width="99%", cols = "^", frame = "none"] -|=== -|*Warning* -|=== - -This document defines an OGC Best Practice on a particular technology or approach related to an OGC standard. - This document is *not* an OGC Standard and may not be referred to as an OGC Standard. - This document is subject to change without notice. However, this document is an *official* position of the OGC membership on this particular technology topic. - - -[width = "50%", grid = "none"] -|=== -|Document type:    OGC® Best Practice -|Document subtype:    Not applicable -|Document stage:    Approved for public release -|Document language:  English -|=== - -<<< - License Agreement - -[small]#Permission is hereby granted by the Open Geospatial Consortium, ("Licensor"), free of charge and subject to the terms set forth below, to any person obtaining a copy of this Intellectual Property and any associated documentation, to deal in the Intellectual Property without restriction (except as set forth below), including without limitation the rights to implement, use, copy, modify, merge, publish, distribute, and/or sublicense copies of the Intellectual Property, and to permit persons to whom the Intellectual Property is furnished to do so, provided that all copyright notices on the intellectual property are retained intact and that each person to whom the Intellectual Property is furnished agrees to the terms of this Agreement.# - -[small]#If you modify the Intellectual Property, all copies of the modified Intellectual Property must include, in addition to the above copyright notice, a notice that the Intellectual Property includes modifications that have not been approved or adopted by LICENSOR.# - -[small]#THIS LICENSE IS A COPYRIGHT LICENSE ONLY, AND DOES NOT CONVEY ANY RIGHTS UNDER ANY PATENTS THAT MAY BE IN FORCE ANYWHERE IN THE WORLD.# - -[small]#THE INTELLECTUAL PROPERTY IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE, AND NONINFRINGEMENT OF THIRD PARTY RIGHTS. THE COPYRIGHT HOLDER OR HOLDERS INCLUDED IN THIS NOTICE DO NOT WARRANT THAT THE FUNCTIONS CONTAINED IN THE INTELLECTUAL PROPERTY WILL MEET YOUR REQUIREMENTS OR THAT THE OPERATION OF THE INTELLECTUAL PROPERTY WILL BE UNINTERRUPTED OR ERROR FREE. ANY USE OF THE INTELLECTUAL PROPERTY SHALL BE MADE ENTIRELY AT THE USER’S OWN RISK. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR ANY CONTRIBUTOR OF INTELLECTUAL PROPERTY RIGHTS TO THE INTELLECTUAL PROPERTY BE LIABLE FOR ANY CLAIM, OR ANY DIRECT, SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES, OR ANY DAMAGES WHATSOEVER RESULTING FROM ANY ALLEGED INFRINGEMENT OR ANY LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR UNDER ANY OTHER LEGAL THEORY, ARISING OUT OF OR IN CONNECTION WITH THE IMPLEMENTATION, USE, COMMERCIALIZATION OR PERFORMANCE OF THIS INTELLECTUAL PROPERTY.# - -[small]#This license is effective until terminated. You may terminate it at any time by destroying the Intellectual Property together with all copies in any form. The license will also terminate if you fail to comply with any term or condition of this Agreement. Except as provided in the following sentence, no such termination of this license shall require the termination of any third party end-user sublicense to the Intellectual Property which is in force as of the date of notice of such termination. In addition, should the Intellectual Property, or the operation of the Intellectual Property, infringe, or in LICENSOR’s sole opinion be likely to infringe, any patent, copyright, trademark or other right of a third party, you agree that LICENSOR, in its sole discretion, may terminate this license without any compensation or liability to you, your licensees or any other party. You agree upon termination of any kind to destroy or cause to be destroyed the Intellectual Property together with all copies in any form, whether held by you or by any third party.# - -[small]#Except as contained in this notice, the name of LICENSOR or of any other holder of a copyright in all or part of the Intellectual Property shall not be used in advertising or otherwise to promote the sale, use or other dealings in this Intellectual Property without prior written authorization of LICENSOR or such copyright holder. LICENSOR is and shall at all times be the sole entity that may authorize you or any third party to use certification marks, trademarks or other special designations to indicate compliance with any LICENSOR standards or specifications. This Agreement is governed by the laws of the Commonwealth of Massachusetts. The application to this Agreement of the United Nations Convention on Contracts for the International Sale of Goods is hereby expressly excluded. In the event any provision of this Agreement shall be deemed unenforceable, void or invalid, such provision shall be modified so as to make it valid and enforceable, and as so modified the entire Agreement shall remain in full force and effect. 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THE COPYRIGHT HOLDER OR HOLDERS INCLUDED IN THIS NOTICE DO NOT WARRANT THAT THE FUNCTIONS CONTAINED IN THE INTELLECTUAL PROPERTY WILL MEET YOUR REQUIREMENTS OR THAT THE OPERATION OF THE INTELLECTUAL PROPERTY WILL BE UNINTERRUPTED OR ERROR FREE. ANY USE OF THE INTELLECTUAL PROPERTY SHALL BE MADE ENTIRELY AT THE USER’S OWN RISK. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR ANY CONTRIBUTOR OF INTELLECTUAL PROPERTY RIGHTS TO THE INTELLECTUAL PROPERTY BE LIABLE FOR ANY CLAIM, OR ANY DIRECT, SPECIAL, INDIRECT OR CONSEQUENTIAL DAMAGES, OR ANY DAMAGES WHATSOEVER RESULTING FROM ANY ALLEGED INFRINGEMENT OR ANY LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR UNDER ANY OTHER LEGAL THEORY, ARISING OUT OF OR IN CONNECTION WITH THE IMPLEMENTATION, USE, COMMERCIALIZATION OR PERFORMANCE OF THIS INTELLECTUAL PROPERTY.# + +[small]#This license is effective until terminated. You may terminate it at any time by destroying the Intellectual Property together with all copies in any form. The license will also terminate if you fail to comply with any term or condition of this Agreement. Except as provided in the following sentence, no such termination of this license shall require the termination of any third party end-user sublicense to the Intellectual Property which is in force as of the date of notice of such termination. In addition, should the Intellectual Property, or the operation of the Intellectual Property, infringe, or in LICENSOR’s sole opinion be likely to infringe, any patent, copyright, trademark or other right of a third party, you agree that LICENSOR, in its sole discretion, may terminate this license without any compensation or liability to you, your licensees or any other party. 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+ + \ No newline at end of file diff --git a/samples/.DS_Store b/samples/.DS_Store deleted file mode 100644 index 7c60de8..0000000 Binary files a/samples/.DS_Store and /dev/null differ diff --git a/samples/README.md b/samples/README.md index 5473a13..5372903 100644 --- a/samples/README.md +++ b/samples/README.md @@ -1,5 +1,5 @@ -# Sample Data - -## Typhoon data - -The sample data was generated from [Digital Typhoon](http://agora.ex.nii.ac.jp/digital-typhoon/index.html.en). +# Sample Data + +## Typhoon data + +The sample data was generated from [Digital Typhoon](http://agora.ex.nii.ac.jp/digital-typhoon/index.html.en). diff --git a/samples/Typhoon201501_MEKKHALA_feature.json b/samples/Typhoon201501_MEKKHALA_feature.json index 8f7bc3f..b0e32d8 100644 --- a/samples/Typhoon201501_MEKKHALA_feature.json +++ b/samples/Typhoon201501_MEKKHALA_feature.json @@ -1,25 +1,25 @@ -{ - "type" : "MovingFeature", - "properties" : { - "name" : "台風201501号 (MEKKHALA)" - }, - "temporalGeometry" : { - "type" : "MovingPolygon", - "datetimes" : [ "2015-01-13T09:00:00Z", "2015-01-13T15:00:00Z", "2015-01-13T21:00:00Z", "2015-01-14T03:00:00Z", "2015-01-14T09:00:00Z", "2015-01-14T15:00:00Z", "2015-01-14T21:00:00Z", "2015-01-15T03:00:00Z", "2015-01-15T09:00:00Z", "2015-01-15T15:00:00Z", "2015-01-15T21:00:00Z", "2015-01-16T03:00:00Z", "2015-01-16T09:00:00Z", "2015-01-16T15:00:00Z", "2015-01-16T21:00:00Z", "2015-01-17T03:00:00Z", "2015-01-17T09:00:00Z", "2015-01-17T15:00:00Z", "2015-01-17T21:00:00Z", "2015-01-18T03:00:00Z", "2015-01-18T09:00:00Z", "2015-01-18T15:00:00Z", "2015-01-18T21:00:00Z", "2015-01-19T03:00:00Z", "2015-01-19T09:00:00Z", "2015-01-19T15:00:00Z", "2015-01-19T21:00:00Z", "2015-01-20T03:00:00Z", "2015-01-20T09:00:00Z", "2015-01-20T15:00:00Z", "2015-01-20T21:00:00Z", "2015-01-21T03:00:00Z" ], - "coordinates" : [ [ [ [ 143.9, 8.7 ], [ 143.60710678118656, 7.992893218813451 ], [ 142.9, 7.699999999999999 ], [ 142.19289321881345, 7.992893218813451 ], [ 141.9, 8.7 ], [ 142.19289321881345, 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112.59289321881344, 13.707106781186548 ], [ 113.3, 14.0 ], [ 114.00710678118655, 13.707106781186548 ], [ 114.3, 13.0 ] ] ], [ [ [ 113.3, 11.9 ], [ 113.00710678118655, 11.192893218813452 ], [ 112.3, 10.9 ], [ 111.59289321881344, 11.192893218813452 ], [ 111.3, 11.9 ], [ 111.59289321881344, 12.607106781186548 ], [ 112.3, 12.9 ], [ 113.00710678118655, 12.607106781186548 ], [ 113.3, 11.9 ] ] ], [ [ [ 112.4, 11.2 ], [ 112.10710678118656, 10.492893218813451 ], [ 111.4, 10.2 ], [ 110.69289321881345, 10.492893218813451 ], [ 110.4, 11.2 ], [ 110.69289321881345, 11.907106781186547 ], [ 111.4, 12.2 ], [ 112.10710678118656, 11.907106781186547 ], [ 112.4, 11.2 ] ] ] ], + "interpolations" : [ "Spline" ] + }, + "temporalProperties" : [ { + "datetimes" : [ "2016-12-20T21:00:00Z", "2016-12-21T03:00:00Z", "2016-12-21T09:00:00Z", "2016-12-21T15:00:00Z", "2016-12-21T21:00:00Z", "2016-12-22T03:00:00Z", "2016-12-22T09:00:00Z", "2016-12-22T15:00:00Z", "2016-12-22T21:00:00Z", "2016-12-23T03:00:00Z", "2016-12-23T09:00:00Z", "2016-12-23T15:00:00Z", "2016-12-23T21:00:00Z", "2016-12-24T03:00:00Z", "2016-12-24T09:00:00Z", "2016-12-24T15:00:00Z", "2016-12-24T21:00:00Z", "2016-12-25T03:00:00Z", "2016-12-25T09:00:00Z", "2016-12-25T15:00:00Z", "2016-12-25T21:00:00Z", "2016-12-26T03:00:00Z", "2016-12-26T09:00:00Z", "2016-12-26T15:00:00Z", "2016-12-26T21:00:00Z", "2016-12-27T03:00:00Z", "2016-12-27T09:00:00Z", "2016-12-27T15:00:00Z", "2016-12-27T21:00:00Z", "2016-12-28T03:00:00Z", "2016-12-28T09:00:00Z", "2016-12-28T15:00:00Z", "2016-12-28T21:00:00Z" ], + "pressure" : { + "uom" : "hPa", + "values" : [ 1004.0, 1004.0, 1004.0, 1002.0, 1004.0, 998.0, 994.0, 994.0, 992.0, 985.0, 985.0, 970.0, 955.0, 950.0, 935.0, 915.0, 915.0, 915.0, 915.0, 925.0, 925.0, 950.0, 950.0, 970.0, 970.0, 975.0, 980.0, 985.0, 996.0, 1004.0, 1006.0, 1006.0, 1008.0 ], + "interpolations" : [ "Stepwise" ] + }, + "speed" : { + "uom" : "kt", + "values" : [ 0.0, 0.0, 0.0, 0.0, 0.0, 35.0, 40.0, 40.0, 45.0, 55.0, 55.0, 70.0, 80.0, 85.0, 95.0, 105.0, 105.0, 105.0, 105.0, 100.0, 100.0, 85.0, 85.0, 70.0, 70.0, 65.0, 60.0, 50.0, 40.0, 0.0, 0.0, 0.0, 0.0 ], + "interpolations" : [ "Linear" ] + } + } ] } \ No newline at end of file diff --git a/standard/.DS_Store b/standard/.DS_Store deleted file mode 100644 index ed7aea4..0000000 Binary files a/standard/.DS_Store and /dev/null differ diff --git a/standard/README.md b/standard/README.md index 1a30cca..b876261 100755 --- a/standard/README.md +++ b/standard/README.md @@ -1,6 +1,6 @@ -This folder contains the text for the standard - -* standard_document.adoc - the main standard document with references to all sections -* remaining adocs - each section of the standard document is in a separate document: follow directions in each document to populate -* images - directory for image files used as figures -* requirements - directory for requirements and requirement classes to be referenced in clause_7_normative_text.adoc +This folder contains the text for the standard + +* standard_document.adoc - the main standard document with references to all sections +* remaining adocs - each section of the standard document is in a separate document: follow directions in each document to populate +* images - directory for image files used as figures +* requirements - directory for requirements and requirement classes to be referenced in clause_7_normative_text.adoc diff --git a/standard/annex-a.adoc b/standard/annex-a.adoc index 17e53b3..d08feb0 100755 --- a/standard/annex-a.adoc +++ b/standard/annex-a.adoc @@ -1,350 +1,350 @@ -[appendix] -:appendix-caption: Annex -== Conformance Class Abstract Test Suite (Normative) - -[NOTE] -Ensure that there is a conformance class for each requirements class and a test for each requirement (identified by requirement name and number) - -=== A.1 Conformance Test Class: MF-JSON Trajectory Encoding - -==== A.1.1 MF-JSON Trajectory file -A MF-JSON Trajectory file SHALL contain a LinearTrajectory object or a set of LinearTrajectory objects having a compliance with the IETF GeoJSON specification. -[cols=">20h,<80a",width="100%"] -|=== -|Test id: | conf/trajectory -|Requirement: | req/trajectory/GeoJSON -|Test purpose: | Verify that this requirement is satisfied. -|Test method: | Inspect the document to verify the above. -|=== - -==== A.1.2 LinearTrajectory object -A LinearTrajectory object SHALL be a GeoJSON Feature object that has two MANDATORY members of `"geometry"` and `"properties"`. -The value of the `"geometry"` member SHALL be a LineString Geometry object, having `"type"` = `"LineString"`. -The value of the `"properties"` member SHALL be a GeoJSON object that has at least a member with the named `"datetimes"`. -The value of the `"datetimes"` member is a JSON array. -The number of elements in the array of the `"coordinates"` value in the Geometry object SHALL more than two positions. -[cols=">20h,<80a",width="100%"] -|=== -|Test id: | conf/trajectory/lineartrajectory -|Requirement: | -* req/trajectory/lineartrajectory -* req/trajectory/lineartrajectory/geometry -* req/trajectory/lineartrajectory/propeties -|Test purpose: | Verify that this requirement is satisfied. -|Test method: | Inspect the document to verify the above. -|=== - -==== A.1.3 Datetimes -Each element in the array of the `"datetimes"` value SHALL be a instant object. -An instant object is only a JSON string encoded by ISO 8601 field-based formats using `Z` or the number of milliseconds since midnight (00:00 a.m.) on January 1, 1970, in UTC. -The array of the `"datetimes"` value SHALL be a monotonic increasing sequence. -There is no instant object that has the same value as any other element. -[cols=">20h,<80a",width="100%"] -|=== -|Test id: | conf/trajectory/datetimes -|Requirement: | -* req/trajectory/datetimes -* req/trajectory/datetimes/monotonic -|Test purpose: | Verify that this requirement is satisfied. -|Test method: | Inspect the document to verify the above. -|=== - -==== A.1.4 Constraints -The number of elements in both arrays of the `"coordinates"` value and the `"datetimes"` value SHALL be equal. -[cols=">20h,<80a",width="100%"] -|=== -|Test id: | conf/trajectory/constraints -|Requirement: | req/trajectory/constraints -|Test purpose: | Verify that this requirement is satisfied. -|Test method: | Inspect the document to verify the above. -|=== - -=== A.2 Conformance Test Class: MF-JSON Prism Encoding - -==== A.2.1 MF-JSON Prism file -A MF-JSON Prism file SHALL be compatible with the IETF GeoJSON Format. -A JSON object in an MF-JSON Prism file SHALL be encoded by one of the Object types defined in this standard, -i.e., TemporalGeometry, TemporalProperties, CoordinateReferenceSystem, MovingFeature, MovingFeatureCollection, LifeSpan, BoundingBox, Geometry, Properties, and MotionCurve. -[cols=">20h,<80a",width="100%"] -|=== -|Test id: | conf/prism -|Requirement: | -* req/prism/GeoJSON -* req/prism/object -|Test purpose: | Verify that this requirement is satisfied. -|Test method: | Inspect the document to verify the above. -|=== - -==== A.2.2 Conflict -Two encodings of MF-JSON Prism and MF-JSON Trajectory SHALL be not able to coexist with each other in a GeoJSON Feature object. -[cols=">20h,<80a",width="100%"] -|=== -|Test id: | conf/prism/conflict -|Requirement: | req/prism/conflict -|Test purpose: | Verify that this requirement is satisfied. -|Test method: | Inspect the document to verify the above. -|=== - -==== A.2.3 TemporalGeometry object -A TemporalGeometry object SHALL have at least a mandatory member with the named `"type"` and its value SHALL be one of string -"MovingPoint", "MovingLineString", "MovingPolygon", "MovingPointCloud", "MultiMovingPoint", "MultiMovingLineString", "MultiMovingPolygon", and "MovingGeometryCollection". -The value of the `"crs"` and `"trs"` member SHALL be a JSON object to represent a CoordinateReferenceSystem (CRS) object. -If no CRS instance can be so acquired from upper-level braces of a JSON object, the default spatial CRS (and temporal CRS) SHALL be applied. -[cols=">20h,<80a",width="100%"] -|=== -|Test id: | conf/prism/tgeometry -|Requirement: | -* req/prism/tgeometry -* req/prism/tgeometry/crs -|Test purpose: | Verify that this requirement is satisfied. -|Test method: | Inspect the document to verify the above. -|=== - -==== A.2.4 TemporalPrimitiveGeometry object -A TemporalPrimitiveGeometry object SHALL have at least three mandatory members of `"type"`, `"datetimes"`, and `"coordinates"`. -The value of the `"type"` member SHALL be one of string "MovingPoint", "MovingLineString", "MovingPolygon", and "MovingPointCloud". -The value of the `"datetimes"` member SHALL be a JSON array of a sequence of monotonic increasing instants, having at least one element that is not `null`. -The value of the `"coordinates"` member SHALL be a JSON array of a sequence of leaf geometries of a temporal geometry, having at least one element that is not `null` and its expression is depending on the `"type"`. -The value of the `"interpolation"` member SHALL be a MotionCurve object. -The value of the `"crs"` and `"trs"` member SHALL be a JSON object to represent a CoordinateReferenceSystem (CRS) object. -If the TemporalPrimitiveGeometry object has no member with the name `"interpolation"`, the default MotionCurve object (`"Linear"`) SHALL be applied. -If no CRS instance can be so acquired from upper-level braces of a JSON object, the default spatial CRS (and temporal CRS) SHALL be applied. -The number of elements in both arrays of the `"coordinates"` value and the `"datetimes"` value SHALL be equal. -The number of elements in both arrays of the `"orientations"` value and the `"datetimes"` value SHALL be equal. -[cols=">20h,<80a",width="100%"] -|=== -|Test id: | conf/prism/tgeometry/primitive -|Requirement: | -* req/prism/tgeometry/primitive -* req/prism/tgeometry/primitive/interpolation -* req/prism/tgeometry/primitive/crs -* req/prism/tgeometry/primitive/constraint -|Test purpose: | Verify that this requirement is satisfied. -|Test method: | Inspect the document to verify the above. -|=== - -==== A.2.5 TemporalPrimitiveGeometry object type -A MovingPoint object SHALL have the value of the `"type"` = `"MovingPoint"` and the value of the `"coordinates"` member SHALL be a list of Point coordinates to construct a 0D leaf geometry (point) corresponding to each instant in order. -A MovingLineString object SHALL have the value of the `"type"` = `"MovingLineString"` and the value of the `"coordinates"` member SHALL be a list of LineString coordinate arrays to construct a 1D leaf geometry (linestring) corresponding to each instant in order. -A MovingPolygon object SHALL have the value of the `"type"` = `"MovingPolygon"` and the value of the `"coordinates"` member SHALL be a list of Polygon coordinate arrays to construct a 2D leaf geometry (polygon) corresponding to each instant in order. -A MovingPointCloud object SHALL have the value of the `"type"` = `"MovingPointCloud"` and the value of the `"coordinates"` member SHALL be a list of MultiPoint 3D coordinate arrays to construct a set of points as a leaf geometry corresponding to each instant in order. -[cols=">20h,<80a",width="100%"] -|=== -|Test id: | conf/prism/tgeometry/primitive/type -|Requirement: | -* req/prism/tgeometry/primitive/movingpoint -* req/prism/tgeometry/primitive/movinglinestring -* req/prism/tgeometry/primitive/movingpolygon -* req/prism/tgeometry/primitive/movingpointcloud -|Test purpose: | Verify that this requirement is satisfied. -|Test method: | Inspect the document to verify the above. -|=== - -==== A.2.6 3D model -The 3D model SHALL be transformed into the fixed local coordinate reference system whose bound is -0.5 to 0.5 for each axis and unit is meter. -The coordinate reference system for the 3D model SHALL be a right-handed coordinate system. -The value of the `"base"` member SHALL be a URL to address an OBJ file of a 3D model data. -The value of the `"orientations"` member SHALL be a JSON array to represent a transformation matrix. -The size of the element in array of the `"orientations"` value SHALL be 16. -The `"orientations"` member SHALL be accompanied with the `"base"` member. -[cols=">20h,<80a",width="100%"] -|=== -|Test id: | conf/prism/tgeometry/primitive/3dmodel -|Requirement: | -* req/prism/tgeometry/primitive/3dmodel -* req/prism/tgeometry/primitive/base -* req/prism/tgeometry/primitive/orientations -|Test purpose: | Verify that this requirement is satisfied. -|Test method: | Inspect the document to verify the above. -|=== - -==== A.2.7 TemporalAggregateGeometry object -A TemporalAggregateGeometry object SHALL have at least two mandatory members of `"type"` and `"prisms"`. -The value of the `"type"` member SHALL be one of string "MultiMovingPoint", "MultiMovingLineString", "MultiMovingPolygon", and "MovingGeometryCollection". -The value of the `"prisms"` member SHALL be a JSON array of a set of TemporalPrimitiveGeometry instances, having at least one element in the array. -The value of the `"crs"` and `"trs"` member SHALL be a JSON object to represent a CoordinateReferenceSystem (CRS) object. -If no CRS instance can be so acquired from upper-level braces of a JSON object, the default spatial CRS (and temporal CRS) SHALL be applied. -[cols=">20h,<80a",width="100%"] -|=== -|Test id: | conf/prism/tgeometry/aggregation -|Requirement: | -* req/prism/tgeometry/aggregation -* req/prism/tgeometry/aggregation/crs -|Test purpose: | Verify that this requirement is satisfied. -|Test method: | Inspect the document to verify the above. -|=== - -==== A.2.8 TemporalAggregateGeometry object type -A TemporalAggregateGeometry object SHALL have at least two mandatory members of `"type"` and `"prisms"`. -A MultiMovingPoint object SHALL have the value of the `"type"` = `"MultiMovingPoint"` and an element of the `"prisms"` member SHALL be a JSON array of TemporalPrimitiveGeometry instances of type `"MovingPoint"`. -The leaf geometry at a time position must be an instance of type `"MultiPoint"` of GeoJSON, which is the union of each leaf of moving point members at the same time. -A MultiMovingLineString object SHALL have the value of the `"type"` = `"MultiMovingLineString"` and an element of the `"prisms"` member SHALL be a JSON array of TemporalPrimitiveGeometry instances of type `"MovingLineString"`. -The leaf geometry at a time position must be an instance of type `"MultiLineString"` of GeoJSON, which is the union of each leaf of moving linestring members at the same time. -A MultiMovingPolygon object SHALL have the value of the `"type"` = `"MultiMovingPolygon"` and an element of the `"prisms"` member SHALL be a JSON array of TemporalPrimitiveGeometry instances of type `"MovingPolygon"`. -The leaf geometry at a time position must be an instance of type `"MultiPolygon"` of GeoJSON, which is the union of each leaf of moving polygon members at the same time. -A MovingGeometryCollection object SHALL the value of the `"type"` = `"MovingGeometryCollection"` and each element of `"prisms"` SHALL be an TemporalPrimitiveGeometry with one of types of `"MovingPoint"`, `"MovingLineString"`, `"MovingPolygon"`, and `"MovingPointCloud"`. -The leaf geometry at a time position must be an instance of type `"GeometryCollection"` of GeoJSON, which is the union of each leaf of any temporal geometries at the same time. -[cols=">20h,<80a",width="100%"] -|=== -|Test id: | conf/prism/tgeometry/aggregation/type -|Requirement: | -* req/prism/tgeometry/aggregation/multimovingpoint -* req/prism/tgeometry/aggregation/multimovinglinestring -* req/prism/tgeometry/aggregation/multimovingpolygon -* req/prism/tgeometry/aggregation/movinggeometrycollection -|Test purpose: | Verify that this requirement is satisfied. -|Test method: | Inspect the document to verify the above. -|=== - -==== A.2.8 TemporalProperties object -A TemporalProperties object SHALL be a JSON array of ParametricValues objects. -A ParametricValues object SHALL have at least a mandatory member with the named `"datetimes"` -and more than one member with the name latexmath:[@propertyN], -where latexmath:[@propertyN] is any string defined by an application as a temporal property. -[cols=">20h,<80a",width="100%"] -|=== -|Test id: | conf/prism/tproperties -|Requirement: | -* req/prism/tproperties -* req/prism/tproperties/pvalues -|Test purpose: | Verify that this requirement is satisfied. -|Test method: | Inspect the document to verify the above. -|=== - -==== A.2.9 latexmath:[@propertyN] object -A latexmath:[@propertyN] object SHALL have at least two mandatory members of `"type"` and `"values"`. -The value of the `"type"` member SHALL be one of string "measure", "text", and "image". -The value of the `"values"` member SHALL be a JSON array whose element is a string (including null, true and false) or numeric value. -The value of the `"interpolation"` member SHALL be only one of string "Discrete", "Step", "Linear", and "Regression" or a URL indicating an InterpolationCode defined in OGC TimeseriesML 1.0 [OGC 15-042r3]. -The value of the `"form"` member SHALL be a JSON string as a common code (3 characters) described in the list of Code List Rec 20 by the UN Centre for Trade Facilitation and Electronic Business (UN/CEFACT) -or a URI denoting a unit-of-measure defined in a web resource. -The number of elements in both arrays of the `"datetimes"` value and the `"values"` value SHALL be equal. -[cols=">20h,<80a",width="100%"] -|=== -|Test id: | conf/prism/tproperties/property -|Requirement: | -* req/prism/tproperties/pvalues/property -* req/prism/tproperties/pvalues/property/interpolation -* req/prism/tproperties/pvalues/property/form -* req/prism/tproperties/pvalues/property/constraint -|Test purpose: | Verify that this requirement is satisfied. -|Test method: | Inspect the document to verify the above. -|=== - -==== A.2.10 CoordinateReferenceSystem object -A CoordinateReferenceSystem object SHALL have two mandatory members of `"type"` and `"properties"`. -The value of the `"type"` member SHALL be one of string "name" and "link". -The value of the `"properties"` member SHALL be a JSON object with three optional members named `"name"`, `"href"`, and `"type"` whose value is a JSON string or JSON null value. -A named CRS object SHALL have the value of the `"type"` = `"name"` and the value of the `"properties"` member SHALL be a JSON object containing a `"name"` member whose value is a string identifying a coordinate reference system. -A linked CRS object SHALL have the value of the `"type"` = `"link"` and the value of the `"properties"` member SHALL be a JSON object containing a `"href"` member whose value is a dereferenceable URI. -[cols=">20h,<80a",width="100%"] -|=== -|Test id: | conf/prism/crs -|Requirement: | -* req/prism/crs -* req/prism/crs/named -* req/prism/crs/linked -|Test purpose: | Verify that this requirement is satisfied. -|Test method: | Inspect the document to verify the above. -|=== - -==== A.2.11 MovingFeature object -A MovingFeature object SHALL be a GeoJSON Feature object that have two mandatory members of `"type"` and `"temporalGeometry"`. -The value of the `"type"` member SHALL be a `"Feature"` string. -The value of the `"temporalGeometry"` member SHALL be a JSON object to represent a TemporalGeometry object, not allowing the JSON `null`. -The value of the `"temporalProperties"` member SHALL be a JSON array of TemporalProperties objects, allowing the JSON `null`. -The value of the `"crs"` and `"trs"` member SHALL be a JSON object to represent a CoordinateReferenceSystem (CRS) object. -The value of the `"bbox"` member SHALL be a JSON array to represent a BoundingBox object, allowing the JSON `null`. -The value of the `"time"` member SHALL be a JSON array to represent a LifeSpan object, allowing the JSON `null`. -The value of the `"geometry"` member SHALL be any JSON object or a JSON null value for the `"geometry"` member in a GeoJSON Feature object. -The value of the `"properties"` member SHALL be any JSON object or a JSON null value for the `"properties"` member in a GeoJSON Feature object. -If no CRS instance can be so acquired in a file, the default spatial CRS (and temporal CRS) SHALL be applied to the object. -[cols=">20h,<80a",width="100%"] -|=== -|Test id: | conf/prism/feature -|Requirement: | -* req/prism/feature -* req/prism/feature/temporalProperties -* req/prism/feature/crs -* req/prism/feature/bbox -* req/prism/feature/time -* req/prism/feature/geometry -* req/prism/feature/properties -|Test purpose: | Verify that this requirement is satisfied. -|Test method: | Inspect the document to verify the above. -|=== - -==== A.2.12 MovingFeatureCollection object -A MovingFeatureCollection object SHALL be a GeoJSON FeatureCollection object that have two mandatory members of `"type"` and `"features"`. -The value of the `"type"` member SHALL be a `"FeatureCollection"` string. -The value of the `"features"` member SHALL be a JSON array whose element is a MovingFeature object. -The value of the `"crs"` and `"trs"` member SHALL be a JSON object to represent a CoordinateReferenceSystem (CRS) object. -The value of the `"bbox"` member SHALL be a JSON array to represent a BoundingBox object, allowing the JSON `null`. -The value of the `"time"` member SHALL be a JSON array to represent a LifeSpan object, allowing the JSON `null`. -The value of the `"label"` member SHALL be a JSON string to indicate an alias of the collection, allowing the JSON `null`. -If no CRS instance can be so acquired in a file, the default spatial CRS (and temporal CRS) SHALL be applied to the object. -The number of elements in an array of the `"features"` value SHALL be more than 1. -[cols=">20h,<80a",width="100%"] -|=== -|Test id: | conf/prism/featurecollection -|Requirement: | -* req/prism/featurecollection -* req/prism/featurecollection/crs -* req/prism/featurecollection/bbox -* req/prism/featurecollection/time -* req/prism/featurecollection/label -* req/prism/featurecollection/constraints -|Test purpose: | Verify that this requirement is satisfied. -|Test method: | Inspect the document to verify the above. -|=== - -==== A.2.13 LifeSpan object -A LifeSpan object SHALL be a JSON array to represent a time interval with two instants of latexmath:[t_s] and latexmath:[t_e]. -Two elements of latexmath:[t_s, t_e] SHALL be latexmath:[t_s \leq t_e]. -The expression of an element in the array SHALL refer to the default temporal CRS object (ISO8601). -[cols=">20h,<80a",width="100%"] -|=== -|Test id: | conf/prism/time -|Requirement: | -* req/prism/time -* req/prism/time/element -* req/prism/time/crs -|Test purpose: | Verify that this requirement is satisfied. -|Test method: | Inspect the document to verify the above. -|=== - -==== A.2.14 BoundingBox object -A BoundingBox object SHALL be a JSON array of length latexmath:[2*n] where latexmath:[n] is the number of dimensions represented in the spatial bounding box. -The elements in the array SHALL be two coordinates (lower-bound coordinate and upper-bound coordinate). -The order of values SHALL follow the axes order of single position of longitude, latitude, and elevation. -The expression of an element in the array SHALL refer to the default spatial CRS object (WGS84). -[cols=">20h,<80a",width="100%"] -|=== -|Test id: | conf/prism/bbox -|Requirement: | -* req/prism/bbox -* req/prism/bbox/element -* req/prism/bbox/crs -|Test purpose: | Verify that this requirement is satisfied. -|Test method: | Inspect the document to verify the above. -|=== - -==== A.2.15 MotionCurve object -The `"coordinate"` member in the TemporalPrimitiveGeometry object SHALL be interpolated by MotionCurve object. -The value of the `"interpolation"` member in the TemporalPrimitiveGeometry object SHALL be one of string "Discrete", "Step", "Linear", "Quadratic", and "Cube", or -a URL to address a user-defined parametric curve. A user-defined parametric curve SHALL be a JSON object which has three members of `"crs"`, `"trs"`, and `"equations"`. -The value of the `"equations"` member SHALL be not empty and be a JSON array whose element is a user-defined parametric segment having two members of `"coefficients"` and `"time"`. -The value of `"coefficients"` member SHALL be a JSON array whose element is an array of coefficients of the interpolation formula of a temporal position. -The order of elements in array of the `"coefficients"` value for the interpolation formula of a temporal position SHALL follow the order of the spatial CRS. -The expression of an element in the array of the `"time"` value SHALL refer to the temporal CRS object. -[cols=">20h,<80a",width="100%"] -|=== -|Test id: | conf/prism/tgeometry/interpolation -|Requirement: | -* req/prism/tgeometry/interpolation -* req/prism/tgeometry/interpolation/userdefined -* req/prism/tgeometry/interpolation/userdefined/coefficients -* req/prism/tgeometry/interpolation/userdefined/time -|Test purpose: | Verify that this requirement is satisfied. -|Test method: | Inspect the document to verify the above. -|=== +[appendix] +:appendix-caption: Annex +== Conformance Class Abstract Test Suite (Normative) + +[NOTE] +Ensure that there is a conformance class for each requirements class and a test for each requirement (identified by requirement name and number) + +=== Conformance Test Class: MF-JSON Trajectory Encoding + +==== MF-JSON Trajectory file +A MF-JSON Trajectory file SHALL contain a LinearTrajectory object or a set of LinearTrajectory objects having a compliance with the IETF GeoJSON specification. +[cols=">20h,<80a",width="100%"] +|=== +|Test id: | conf/trajectory +|Requirement: | req/trajectory/GeoJSON +|Test purpose: | Verify that this requirement is satisfied. +|Test method: | Inspect the document to verify the above. +|=== + +==== LinearTrajectory object +A LinearTrajectory object SHALL be a GeoJSON Feature object that has two MANDATORY members of `"geometry"` and `"properties"`. +The value of the `"geometry"` member SHALL be a LineString Geometry object, having `"type"` = `"LineString"`. +The value of the `"properties"` member SHALL be a GeoJSON object that has at least a member with the named `"datetimes"`. +The value of the `"datetimes"` member is a JSON array. +The number of elements in the array of the `"coordinates"` value in the Geometry object SHALL more than two positions. +[cols=">20h,<80a",width="100%"] +|=== +|Test id: | conf/trajectory/lineartrajectory +|Requirement: | +* req/trajectory/lineartrajectory +* req/trajectory/lineartrajectory/geometry +* req/trajectory/lineartrajectory/propeties +|Test purpose: | Verify that this requirement is satisfied. +|Test method: | Inspect the document to verify the above. +|=== + +==== Datetimes +Each element in the array of the `"datetimes"` value SHALL be a instant object. +An instant object is only a JSON string encoded by ISO 8601 field-based formats using `Z` or the number of milliseconds since midnight (00:00 a.m.) on January 1, 1970, in UTC. +The array of the `"datetimes"` value SHALL be a monotonic increasing sequence. +There is no instant object that has the same value as any other element. +[cols=">20h,<80a",width="100%"] +|=== +|Test id: | conf/trajectory/datetimes +|Requirement: | +* req/trajectory/datetimes +* req/trajectory/datetimes/monotonic +|Test purpose: | Verify that this requirement is satisfied. +|Test method: | Inspect the document to verify the above. +|=== + +==== Constraints +The number of elements in both arrays of the `"coordinates"` value and the `"datetimes"` value SHALL be equal. +[cols=">20h,<80a",width="100%"] +|=== +|Test id: | conf/trajectory/constraints +|Requirement: | req/trajectory/constraints +|Test purpose: | Verify that this requirement is satisfied. +|Test method: | Inspect the document to verify the above. +|=== + +=== Conformance Test Class: MF-JSON Prism Encoding + +==== MF-JSON Prism file +A MF-JSON Prism file SHALL be compatible with the IETF GeoJSON Format. +A JSON object in an MF-JSON Prism file SHALL be encoded by one of the Object types defined in this standard, +i.e., TemporalGeometry, TemporalProperties, CoordinateReferenceSystem, MovingFeature, MovingFeatureCollection, LifeSpan, BoundingBox, Geometry, Properties, and MotionCurve. +[cols=">20h,<80a",width="100%"] +|=== +|Test id: | conf/prism +|Requirement: | +* req/prism/GeoJSON +* req/prism/object +|Test purpose: | Verify that this requirement is satisfied. +|Test method: | Inspect the document to verify the above. +|=== + +==== Conflict +Two encodings of MF-JSON Prism and MF-JSON Trajectory SHALL be not able to coexist with each other in a GeoJSON Feature object. +[cols=">20h,<80a",width="100%"] +|=== +|Test id: | conf/prism/conflict +|Requirement: | req/prism/conflict +|Test purpose: | Verify that this requirement is satisfied. +|Test method: | Inspect the document to verify the above. +|=== + +==== TemporalGeometry object +A TemporalGeometry object SHALL have at least a mandatory member with the named `"type"` and its value SHALL be one of string +"MovingPoint", "MovingLineString", "MovingPolygon", "MovingPointCloud", "MultiMovingPoint", "MultiMovingLineString", "MultiMovingPolygon", and "MovingGeometryCollection". +The value of the `"crs"` and `"trs"` member SHALL be a JSON object to represent a CoordinateReferenceSystem (CRS) object. +If no CRS instance can be so acquired from upper-level braces of a JSON object, the default spatial CRS (and temporal CRS) SHALL be applied. +[cols=">20h,<80a",width="100%"] +|=== +|Test id: | conf/prism/tgeometry +|Requirement: | +* req/prism/tgeometry +* req/prism/tgeometry/crs +|Test purpose: | Verify that this requirement is satisfied. +|Test method: | Inspect the document to verify the above. +|=== + +==== TemporalPrimitiveGeometry object +A TemporalPrimitiveGeometry object SHALL have at least three mandatory members of `"type"`, `"datetimes"`, and `"coordinates"`. +The value of the `"type"` member SHALL be one of string "MovingPoint", "MovingLineString", "MovingPolygon", and "MovingPointCloud". +The value of the `"datetimes"` member SHALL be a JSON array of a sequence of monotonic increasing instants, having at least one element that is not `null`. +The value of the `"coordinates"` member SHALL be a JSON array of a sequence of leaf geometries of a temporal geometry, having at least one element that is not `null` and its expression is depending on the `"type"`. +The value of the `"interpolation"` member SHALL be a MotionCurve object. +The value of the `"crs"` and `"trs"` member SHALL be a JSON object to represent a CoordinateReferenceSystem (CRS) object. +If the TemporalPrimitiveGeometry object has no member with the name `"interpolation"`, the default MotionCurve object (`"Linear"`) SHALL be applied. +If no CRS instance can be so acquired from upper-level braces of a JSON object, the default spatial CRS (and temporal CRS) SHALL be applied. +The number of elements in both arrays of the `"coordinates"` value and the `"datetimes"` value SHALL be equal. +The number of elements in both arrays of the `"orientations"` value and the `"datetimes"` value SHALL be equal. +[cols=">20h,<80a",width="100%"] +|=== +|Test id: | conf/prism/tgeometry/primitive +|Requirement: | +* req/prism/tgeometry/primitive +* req/prism/tgeometry/primitive/interpolation +* req/prism/tgeometry/primitive/crs +* req/prism/tgeometry/primitive/constraint +|Test purpose: | Verify that this requirement is satisfied. +|Test method: | Inspect the document to verify the above. +|=== + +==== TemporalPrimitiveGeometry object type +A MovingPoint object SHALL have the value of the `"type"` = `"MovingPoint"` and the value of the `"coordinates"` member SHALL be a list of Point coordinates to construct a 0D leaf geometry (point) corresponding to each instant in order. +A MovingLineString object SHALL have the value of the `"type"` = `"MovingLineString"` and the value of the `"coordinates"` member SHALL be a list of LineString coordinate arrays to construct a 1D leaf geometry (linestring) corresponding to each instant in order. +A MovingPolygon object SHALL have the value of the `"type"` = `"MovingPolygon"` and the value of the `"coordinates"` member SHALL be a list of Polygon coordinate arrays to construct a 2D leaf geometry (polygon) corresponding to each instant in order. +A MovingPointCloud object SHALL have the value of the `"type"` = `"MovingPointCloud"` and the value of the `"coordinates"` member SHALL be a list of MultiPoint 3D coordinate arrays to construct a set of points as a leaf geometry corresponding to each instant in order. +[cols=">20h,<80a",width="100%"] +|=== +|Test id: | conf/prism/tgeometry/primitive/type +|Requirement: | +* req/prism/tgeometry/primitive/movingpoint +* req/prism/tgeometry/primitive/movinglinestring +* req/prism/tgeometry/primitive/movingpolygon +* req/prism/tgeometry/primitive/movingpointcloud +|Test purpose: | Verify that this requirement is satisfied. +|Test method: | Inspect the document to verify the above. +|=== + +==== 3D model +The 3D model SHALL be transformed into the fixed local coordinate reference system whose bound is -0.5 to 0.5 for each axis and unit is meter. +The coordinate reference system for the 3D model SHALL be a right-handed coordinate system. +The value of the `"base"` member SHALL be a URL to address an OBJ file of a 3D model data. +The value of the `"orientations"` member SHALL be a JSON array to represent a transformation matrix. +The size of the element in array of the `"orientations"` value SHALL be 16. +The `"orientations"` member SHALL be accompanied with the `"base"` member. +[cols=">20h,<80a",width="100%"] +|=== +|Test id: | conf/prism/tgeometry/primitive/3dmodel +|Requirement: | +* req/prism/tgeometry/primitive/3dmodel +* req/prism/tgeometry/primitive/base +* req/prism/tgeometry/primitive/orientations +|Test purpose: | Verify that this requirement is satisfied. +|Test method: | Inspect the document to verify the above. +|=== + +==== TemporalAggregateGeometry object +A TemporalAggregateGeometry object SHALL have at least two mandatory members of `"type"` and `"prisms"`. +The value of the `"type"` member SHALL be one of string "MultiMovingPoint", "MultiMovingLineString", "MultiMovingPolygon", and "MovingGeometryCollection". +The value of the `"prisms"` member SHALL be a JSON array of a set of TemporalPrimitiveGeometry instances, having at least one element in the array. +The value of the `"crs"` and `"trs"` member SHALL be a JSON object to represent a CoordinateReferenceSystem (CRS) object. +If no CRS instance can be so acquired from upper-level braces of a JSON object, the default spatial CRS (and temporal CRS) SHALL be applied. +[cols=">20h,<80a",width="100%"] +|=== +|Test id: | conf/prism/tgeometry/aggregation +|Requirement: | +* req/prism/tgeometry/aggregation +* req/prism/tgeometry/aggregation/crs +|Test purpose: | Verify that this requirement is satisfied. +|Test method: | Inspect the document to verify the above. +|=== + +==== TemporalAggregateGeometry object type +A TemporalAggregateGeometry object SHALL have at least two mandatory members of `"type"` and `"prisms"`. +A MultiMovingPoint object SHALL have the value of the `"type"` = `"MultiMovingPoint"` and an element of the `"prisms"` member SHALL be a JSON array of TemporalPrimitiveGeometry instances of type `"MovingPoint"`. +The leaf geometry at a time position must be an instance of type `"MultiPoint"` of GeoJSON, which is the union of each leaf of moving point members at the same time. +A MultiMovingLineString object SHALL have the value of the `"type"` = `"MultiMovingLineString"` and an element of the `"prisms"` member SHALL be a JSON array of TemporalPrimitiveGeometry instances of type `"MovingLineString"`. +The leaf geometry at a time position must be an instance of type `"MultiLineString"` of GeoJSON, which is the union of each leaf of moving linestring members at the same time. +A MultiMovingPolygon object SHALL have the value of the `"type"` = `"MultiMovingPolygon"` and an element of the `"prisms"` member SHALL be a JSON array of TemporalPrimitiveGeometry instances of type `"MovingPolygon"`. +The leaf geometry at a time position must be an instance of type `"MultiPolygon"` of GeoJSON, which is the union of each leaf of moving polygon members at the same time. +A MovingGeometryCollection object SHALL the value of the `"type"` = `"MovingGeometryCollection"` and each element of `"prisms"` SHALL be an TemporalPrimitiveGeometry with one of types of `"MovingPoint"`, `"MovingLineString"`, `"MovingPolygon"`, and `"MovingPointCloud"`. +The leaf geometry at a time position must be an instance of type `"GeometryCollection"` of GeoJSON, which is the union of each leaf of any temporal geometries at the same time. +[cols=">20h,<80a",width="100%"] +|=== +|Test id: | conf/prism/tgeometry/aggregation/type +|Requirement: | +* req/prism/tgeometry/aggregation/multimovingpoint +* req/prism/tgeometry/aggregation/multimovinglinestring +* req/prism/tgeometry/aggregation/multimovingpolygon +* req/prism/tgeometry/aggregation/movinggeometrycollection +|Test purpose: | Verify that this requirement is satisfied. +|Test method: | Inspect the document to verify the above. +|=== + +==== TemporalProperties object +A TemporalProperties object SHALL be a JSON array of ParametricValues objects. +A ParametricValues object SHALL have at least a mandatory member with the named `"datetimes"` +and more than one member with the name latexmath:[@propertyN], +where latexmath:[@propertyN] is any string defined by an application as a temporal property. +[cols=">20h,<80a",width="100%"] +|=== +|Test id: | conf/prism/tproperties +|Requirement: | +* req/prism/tproperties +* req/prism/tproperties/pvalues +|Test purpose: | Verify that this requirement is satisfied. +|Test method: | Inspect the document to verify the above. +|=== + +==== latexmath:[@propertyN] object +A latexmath:[@propertyN] object SHALL have at least two mandatory members of `"type"` and `"values"`. +The value of the `"type"` member SHALL be one of string "measure", "text", and "image". +The value of the `"values"` member SHALL be a JSON array whose element is a string (including null, true and false) or numeric value. +The value of the `"interpolation"` member SHALL be only one of string "Discrete", "Step", "Linear", and "Regression" or a URL indicating an InterpolationCode defined in OGC TimeseriesML 1.0 [OGC 15-042r3]. +The value of the `"form"` member SHALL be a JSON string as a common code (3 characters) described in the list of Code List Rec 20 by the UN Centre for Trade Facilitation and Electronic Business (UN/CEFACT) +or a URI denoting a unit-of-measure defined in a web resource. +The number of elements in both arrays of the `"datetimes"` value and the `"values"` value SHALL be equal. +[cols=">20h,<80a",width="100%"] +|=== +|Test id: | conf/prism/tproperties/property +|Requirement: | +* req/prism/tproperties/pvalues/property +* req/prism/tproperties/pvalues/property/interpolation +* req/prism/tproperties/pvalues/property/form +* req/prism/tproperties/pvalues/property/constraint +|Test purpose: | Verify that this requirement is satisfied. +|Test method: | Inspect the document to verify the above. +|=== + +==== CoordinateReferenceSystem object +A CoordinateReferenceSystem object SHALL have two mandatory members of `"type"` and `"properties"`. +The value of the `"type"` member SHALL be one of string "name" and "link". +The value of the `"properties"` member SHALL be a JSON object with three optional members named `"name"`, `"href"`, and `"type"` whose value is a JSON string or JSON null value. +A named CRS object SHALL have the value of the `"type"` = `"name"` and the value of the `"properties"` member SHALL be a JSON object containing a `"name"` member whose value is a string identifying a coordinate reference system. +A linked CRS object SHALL have the value of the `"type"` = `"link"` and the value of the `"properties"` member SHALL be a JSON object containing a `"href"` member whose value is a dereferenceable URI. +[cols=">20h,<80a",width="100%"] +|=== +|Test id: | conf/prism/crs +|Requirement: | +* req/prism/crs +* req/prism/crs/named +* req/prism/crs/linked +|Test purpose: | Verify that this requirement is satisfied. +|Test method: | Inspect the document to verify the above. +|=== + +==== MovingFeature object +A MovingFeature object SHALL be a GeoJSON Feature object that have two mandatory members of `"type"` and `"temporalGeometry"`. +The value of the `"type"` member SHALL be a `"Feature"` string. +The value of the `"temporalGeometry"` member SHALL be a JSON object to represent a TemporalGeometry object, not allowing the JSON `null`. +The value of the `"temporalProperties"` member SHALL be a JSON array of TemporalProperties objects, allowing the JSON `null`. +The value of the `"crs"` and `"trs"` member SHALL be a JSON object to represent a CoordinateReferenceSystem (CRS) object. +The value of the `"bbox"` member SHALL be a JSON array to represent a BoundingBox object, allowing the JSON `null`. +The value of the `"time"` member SHALL be a JSON array to represent a LifeSpan object, allowing the JSON `null`. +The value of the `"geometry"` member SHALL be any JSON object or a JSON null value for the `"geometry"` member in a GeoJSON Feature object. +The value of the `"properties"` member SHALL be any JSON object or a JSON null value for the `"properties"` member in a GeoJSON Feature object. +If no CRS instance can be so acquired in a file, the default spatial CRS (and temporal CRS) SHALL be applied to the object. +[cols=">20h,<80a",width="100%"] +|=== +|Test id: | conf/prism/feature +|Requirement: | +* req/prism/feature +* req/prism/feature/temporalProperties +* req/prism/feature/crs +* req/prism/feature/bbox +* req/prism/feature/time +* req/prism/feature/geometry +* req/prism/feature/properties +|Test purpose: | Verify that this requirement is satisfied. +|Test method: | Inspect the document to verify the above. +|=== + +==== MovingFeatureCollection object +A MovingFeatureCollection object SHALL be a GeoJSON FeatureCollection object that have two mandatory members of `"type"` and `"features"`. +The value of the `"type"` member SHALL be a `"FeatureCollection"` string. +The value of the `"features"` member SHALL be a JSON array whose element is a MovingFeature object. +The value of the `"crs"` and `"trs"` member SHALL be a JSON object to represent a CoordinateReferenceSystem (CRS) object. +The value of the `"bbox"` member SHALL be a JSON array to represent a BoundingBox object, allowing the JSON `null`. +The value of the `"time"` member SHALL be a JSON array to represent a LifeSpan object, allowing the JSON `null`. +The value of the `"label"` member SHALL be a JSON string to indicate an alias of the collection, allowing the JSON `null`. +If no CRS instance can be so acquired in a file, the default spatial CRS (and temporal CRS) SHALL be applied to the object. +The number of elements in an array of the `"features"` value SHALL be more than 1. +[cols=">20h,<80a",width="100%"] +|=== +|Test id: | conf/prism/featurecollection +|Requirement: | +* req/prism/featurecollection +* req/prism/featurecollection/crs +* req/prism/featurecollection/bbox +* req/prism/featurecollection/time +* req/prism/featurecollection/label +* req/prism/featurecollection/constraints +|Test purpose: | Verify that this requirement is satisfied. +|Test method: | Inspect the document to verify the above. +|=== + +==== LifeSpan object +A LifeSpan object SHALL be a JSON array to represent a time interval with two instants of latexmath:[t_s] and latexmath:[t_e]. +Two elements of latexmath:[t_s, t_e] SHALL be latexmath:[t_s \leq t_e]. +The expression of an element in the array SHALL refer to the default temporal CRS object (ISO8601). +[cols=">20h,<80a",width="100%"] +|=== +|Test id: | conf/prism/time +|Requirement: | +* req/prism/time +* req/prism/time/element +* req/prism/time/crs +|Test purpose: | Verify that this requirement is satisfied. +|Test method: | Inspect the document to verify the above. +|=== + +==== BoundingBox object +A BoundingBox object SHALL be a JSON array of length latexmath:[2*n] where latexmath:[n] is the number of dimensions represented in the spatial bounding box. +The elements in the array SHALL be two coordinates (lower-bound coordinate and upper-bound coordinate). +The order of values SHALL follow the axes order of single position of longitude, latitude, and elevation. +The expression of an element in the array SHALL refer to the default spatial CRS object (WGS84). +[cols=">20h,<80a",width="100%"] +|=== +|Test id: | conf/prism/bbox +|Requirement: | +* req/prism/bbox +* req/prism/bbox/element +* req/prism/bbox/crs +|Test purpose: | Verify that this requirement is satisfied. +|Test method: | Inspect the document to verify the above. +|=== + +==== MotionCurve object +The `"coordinate"` member in the TemporalPrimitiveGeometry object SHALL be interpolated by MotionCurve object. +The value of the `"interpolation"` member in the TemporalPrimitiveGeometry object SHALL be one of string "Discrete", "Step", "Linear", "Quadratic", and "Cube", or +a URL to address a user-defined parametric curve. A user-defined parametric curve SHALL be a JSON object which has three members of `"crs"`, `"trs"`, and `"equations"`. +The value of the `"equations"` member SHALL be not empty and be a JSON array whose element is a user-defined parametric segment having two members of `"coefficients"` and `"time"`. +The value of `"coefficients"` member SHALL be a JSON array whose element is an array of coefficients of the interpolation formula of a temporal position. +The order of elements in array of the `"coefficients"` value for the interpolation formula of a temporal position SHALL follow the order of the spatial CRS. +The expression of an element in the array of the `"time"` value SHALL refer to the temporal CRS object. +[cols=">20h,<80a",width="100%"] +|=== +|Test id: | conf/prism/tgeometry/interpolation +|Requirement: | +* req/prism/tgeometry/interpolation +* req/prism/tgeometry/interpolation/userdefined +* req/prism/tgeometry/interpolation/userdefined/coefficients +* req/prism/tgeometry/interpolation/userdefined/time +|Test purpose: | Verify that this requirement is satisfied. +|Test method: | Inspect the document to verify the above. +|=== diff --git a/standard/annex-bibliography.adoc b/standard/annex-bibliography.adoc index 11e0e18..5a03bdb 100755 --- a/standard/annex-bibliography.adoc +++ b/standard/annex-bibliography.adoc @@ -1,49 +1,49 @@ -[appendix] -:appendix-caption: Annex -[[Bibliography]] -= Bibliography - -//// -[NOTE] -.Example Bibliography (Delete this note). -=============================================== -The TC has approved Springer LNCS as the official document citation type. - -Springer LNCS is widely used in technical and computer science journals and other publications - -* For citations in the text please use square brackets and consecutive numbers: [1], [2], [3] - -– Actual References: - -[n] Journal: Author Surname, A.: Title. Publication Title. Volume number, Issue number, Pages Used (Year Published) - -[n] Web: Author Surname, A.: Title, http://Website-Url - -=============================================== -//// - -((( Example ))) -[#WGS84, reftext='[{counter:ref-num}]'] -[1] National Imagery and Mapping Agency, "Department of Defense World Geodetic System 1984: Its Definition and Relationships with Local Geodetic Systems", Third Edition, 1984. - -[#UNCODES, reftext='[{counter:ref-num}]'] -[2] Rec 20 – Codes for Units of Measure Used in International Trade, UN Centre for Trade Facilitation and Electronic Business (UN/CEFACT), https://www.unece.org/uncefact/codelistrecs.html - -[#EPSG, reftext='[{counter:ref-num}]'] -[3] EPSG Geodetic Parameter Dataset, http://www.epsg.org - -[#GJSON2008, reftext='[{counter:ref-num}]'] -[4] The GeoJSON Format Specification. 2008, https://geojson.org - -[#INTER, reftext='[{counter:ref-num}]'] -[5] Rick Parent, Chapter 3 - Interpolating Values, Editor(s): Rick Parent, Computer Animation (Third Edition), Morgan Kaufmann, 2012, Pages 61-109, https://doi.org/10.1016/B978-0-12-415842-9.00003-4. - -[#OBJ, reftext='[{counter:ref-num}]'] -[6] Wavefront OBJ, https://en.wikipedia.org/wiki/Wavefront_.obj_file - - -////////////// -https://qroph.github.io/2018/07/30/smooth-paths-using-catmull-rom-splines.html -[#UCUM, reftext='[{counter:ref-num}]'] -[2] Unified Code for Units of Measure (UCUM), https://unitsofmeasure.org -////////////// +[appendix] +:appendix-caption: Annex +[[Bibliography]] += Bibliography + +//// +[NOTE] +.Example Bibliography (Delete this note). +=============================================== +The TC has approved Springer LNCS as the official document citation type. + +Springer LNCS is widely used in technical and computer science journals and other publications + +* For citations in the text please use square brackets and consecutive numbers: [1], [2], [3] + +– Actual References: + +[n] Journal: Author Surname, A.: Title. Publication Title. Volume number, Issue number, Pages Used (Year Published) + +[n] Web: Author Surname, A.: Title, http://Website-Url + +=============================================== +//// + +((( Example ))) +[#WGS84, reftext='[{counter:ref-num}]'] +[1] National Imagery and Mapping Agency, "Department of Defense World Geodetic System 1984: Its Definition and Relationships with Local Geodetic Systems", Third Edition, 1984. + +[#UNCODES, reftext='[{counter:ref-num}]'] +[2] Rec 20 – Codes for Units of Measure Used in International Trade, UN Centre for Trade Facilitation and Electronic Business (UN/CEFACT), https://www.unece.org/uncefact/codelistrecs.html + +[#EPSG, reftext='[{counter:ref-num}]'] +[3] EPSG Geodetic Parameter Dataset, http://www.epsg.org + +[#GJSON2008, reftext='[{counter:ref-num}]'] +[4] The GeoJSON Format Specification. 2008, https://geojson.org + +[#INTER, reftext='[{counter:ref-num}]'] +[5] Rick Parent, Chapter 3 - Interpolating Values, Editor(s): Rick Parent, Computer Animation (Third Edition), Morgan Kaufmann, 2012, Pages 61-109, https://doi.org/10.1016/B978-0-12-415842-9.00003-4. + +[#OBJ, reftext='[{counter:ref-num}]'] +[6] Wavefront OBJ, https://en.wikipedia.org/wiki/Wavefront_.obj_file + + +////////////// +https://qroph.github.io/2018/07/30/smooth-paths-using-catmull-rom-splines.html +[#UCUM, reftext='[{counter:ref-num}]'] +[2] Unified Code for Units of Measure (UCUM), https://unitsofmeasure.org +////////////// diff --git a/standard/annex-history.adoc b/standard/annex-history.adoc index 57a3a1f..07a3544 100755 --- a/standard/annex-history.adoc +++ b/standard/annex-history.adoc @@ -1,13 +1,13 @@ -[appendix] -:appendix-caption: Annex -== Revision History - -[width="90%",options="header"] -|=== -|Date |Release |Editor | Primary clauses modified |Description -|2018-12-01 |1.0 |Kyoung-Sook Kim |all |initial version -|2018-01-25 |1.0 |Kyoung-Sook Kim, Taehoon Kim |all |first draft -|2019-04-21 |1.0 |Kyoung-Sook Kim |trajectory |revision -|2019-06-20 |1.0 |Kyoung-Sook Kim |prism |revision -|2019-07-27 |1.0 |Kyoung-Sook Kim, Taehoon Kim |requirement, conformance |addition -|=== +[appendix] +:appendix-caption: Annex +== Revision History + +[width="90%",options="header"] +|=== +|Date |Release |Editor | Primary clauses modified |Description +|2018-12-01 |1.0 |Kyoung-Sook Kim |all |initial version +|2018-01-25 |1.0 |Kyoung-Sook Kim, Taehoon Kim |all |first draft +|2019-04-21 |1.0 |Kyoung-Sook Kim |trajectory |revision +|2019-06-20 |1.0 |Kyoung-Sook Kim |prism |revision +|2019-07-27 |1.0 |Kyoung-Sook Kim, Taehoon Kim |requirement, conformance |addition +|=== diff --git a/standard/annex-n.adoc b/standard/annex-n.adoc index c7e9116..a56121d 100755 --- a/standard/annex-n.adoc +++ b/standard/annex-n.adoc @@ -1,6 +1,6 @@ -[appendix] -:appendix-caption: Annex -== Title ( {Normative/Informative} ) - -[NOTE] -Place other Annex material in sequential annexes beginning with "B" and leave final two annexes for the Revision History and Bibliography +[appendix] +:appendix-caption: Annex +== Title ( {Normative/Informative} ) + +[NOTE] +Place other Annex material in sequential annexes beginning with "B" and leave final two annexes for the Revision History and Bibliography diff --git a/standard/clause_0_front_material.adoc b/standard/clause_0_front_material.adoc index ce35338..d12dc51 100755 --- a/standard/clause_0_front_material.adoc +++ b/standard/clause_0_front_material.adoc @@ -1,61 +1,61 @@ -[big]*i. Abstract* - -This standard defines how to encode and share the various movements of geographic features by using JavaScript Object Notation (JSON). -It provides an alternative encoding for OGC Moving Features instead of http://www.opengeospatial.org/standards/movingfeatures[XML Core [OGC 14-083r2]] and http://www.opengeospatial.org/standards/movingfeatures[Simple CSV [OGC 14-084r2]]. -A moving feature, typically like a vehicle and pedestrian, contains a temporal geometry -whose location continuously changes over time and dynamic non-spatial attributes whose values vary with time. -This Moving Features JSON encoding defines several keywords to implement the conceptual schema of moving features defined in ISO 19141:2008 [ISO 19141:2008], accompanied with https://www.ietf.org/rfc/rfc7946.txt[IETF GeoJSON Format [IETF RFC 7946]]. - -//// -In addition, this document provides an example of RESTful approaches as a OGC Web Feature Service that has the potential for simplicity, scalability, and resilience with respect to exchange of moving feature data across the Web. -//// - -[big]*ii. Keywords* - -TThe following are keywords to be used by search engines and document catalogues. - -ogcdoc, OGC document, moving features, encoding, JSON, OpenAPI - -[big]*iii. Preface* -//// -[NOTE] -==== -Insert Preface Text here. Give OGC specific commentary: describe the technical content, reason for document, history of the document and precursors, and plans for future work. > -==== -//// - -This document specifies JSON encodings for the implementation of the conceptual schema of moving features defined in https://www.iso.org/standard/41445.html[ISO 19141:2008], -i.e., features whose locations change over time. OGC Moving Features Encoding standards http://www.opengeospatial.org/standards/movingfeatures[XML Core [OGC 14-083r2]] -and http://www.opengeospatial.org/standards/movingfeatures[Simple CSV [OGC 14-084r2]] have focused on the movement of 0-dimensional geometric primitives (Points), -called trajectories. In addition, the ISO schema excludes deformation and changes of non-spatial attributes of the feature. -However, there are requirements to represent and share the movements of 1-dimensional curve LineStrings, 2-dimensional surface Polygons, and 3-dimensional solid polyhedrons with time-varying non-spatial attributes in various application areas, including: Location Based Services, Intelligent Transportation Systems, -Disaster Risk Management Systems, and Smart City Applications. For example, the traffic congestion on roads and the hotspot of air pollution are typical moving features in the real world. - -Therefore, OGC Moving Features JSON encodings (MF-JSON) define data members for one-parameter geometries and propeties of the moving feature in time not only trajectory. -MF-JSON is compatible with the https://www.ietf.org/rfc/rfc7946.txt[IETF GeoJSON Format [IETF RFC 7946]] in a JSON document. - -Attention is drawn to the possibility that some of the elements of this document may be the subject of patent rights. The Open Geospatial Consortium shall not be held responsible for identifying any or all such patent rights. - -Recipients of this document are requested to submit, with their comments, notification of any relevant patent claims or other intellectual property rights of which they may be aware that might be infringed by any implementation of the standard set forth in this document, and to provide supporting documentation. - -[big]*iv. Submitting organizations* - -The following organization has submitted this Document to the Open GeoSpatial Consortium, Inc.: - -* Artificial Intelligence Research Center, National Institute of Advanced Industrial Science and Technology -* Defense Systems Company, Hitachi, Ltd. -* Pusan National University - -[big]*v. Submitters* - -All questions regarding this submission should be directed to the editor or the submitters: - -{set:cellbgcolor!} -[width="99%", cols="3,7"] -|=========================================================== -|*Name* |*Organization* -|Kyoung-Sook KIM |Artificial Intelligence Research Center, National Institute of Advanced Industrial Science and Technology -|Taehoon KIM |Artificial Intelligence Research Center, National Institute of Advanced Industrial Science and Technology -|Nobuhiro ISHIMARU|Defense Systems Company, Hitachi, Ltd. -|Ki-Joune LI|Pusan National University -|=========================================================== +[big]*i. Abstract* + +This standard defines how to encode and share the various movements of geographic features by using JavaScript Object Notation (JSON). +It provides an alternative encoding for OGC Moving Features instead of http://www.opengeospatial.org/standards/movingfeatures[XML Core [OGC 14-083r2]] and http://www.opengeospatial.org/standards/movingfeatures[Simple CSV [OGC 14-084r2]]. +A moving feature, typically like a vehicle and pedestrian, contains a temporal geometry +whose location continuously changes over time and dynamic non-spatial attributes whose values vary with time. +This Moving Features JSON encoding defines a set of keywords to implement the conceptual schema of moving features defined in ISO 19141:2008 [ISO 19141:2008], accompanied with https://www.ietf.org/rfc/rfc7946.txt[IETF GeoJSON Format [IETF RFC 7946]]. + +//// +In addition, this document provides an example of RESTful approaches as a OGC Web Feature Service that has the potential for simplicity, scalability, and resilience with respect to exchange of moving feature data across the Web. +//// + +[big]*ii. Keywords* + +The following are keywords to be used by search engines and document catalogues. + +ogcdoc, OGC document, moving features, encoding, JSON + +[big]*iii. Preface* +//// +[NOTE] +==== +Insert Preface Text here. Give OGC specific commentary: describe the technical content, reason for document, history of the document and precursors, and plans for future work. > +==== +//// + +This document specifies JSON encodings for the implementation of the conceptual schema of moving features defined in https://www.iso.org/standard/41445.html[ISO 19141:2008], +i.e., features whose locations change over time. OGC Moving Features Encoding standards http://www.opengeospatial.org/standards/movingfeatures[XML Core [OGC 14-083r2]] +and http://www.opengeospatial.org/standards/movingfeatures[Simple CSV [OGC 14-084r2]] have focused on the movement of 0-dimensional geometric primitives (Points), +called trajectories. In addition, the ISO schema excludes deformation and changes of non-spatial attributes of the feature. +However, there are requirements to represent and share the movements of 1-dimensional curve LineStrings, 2-dimensional surface Polygons, and 3-dimensional solid polyhedrons with time-varying non-spatial attributes in various application areas, including: Location Based Services, Intelligent Transportation Systems, +Disaster Risk Management Systems, and Smart City Applications. For example, the traffic congestion on roads and the hotspot of air pollution are typical moving features in the real world. + +Therefore, OGC Moving Features JSON encodings (MF-JSON) define data members for one-parameter geometries and propeties of the moving feature in time not only trajectory. +MF-JSON is compatible with the https://www.ietf.org/rfc/rfc7946.txt[IETF GeoJSON Format [IETF RFC 7946]]. + +Attention is drawn to the possibility that some of the elements of this document may be the subject of patent rights. The Open Geospatial Consortium shall not be held responsible for identifying any or all such patent rights. + +Recipients of this document are requested to submit, with their comments, notification of any relevant patent claims or other intellectual property rights of which they may be aware that might be infringed by any implementation of the standard set forth in this document, and to provide supporting documentation. + +[big]*iv. Submitting organizations* + +The following organization has submitted this Document to the Open GeoSpatial Consortium, Inc.: + +* Artificial Intelligence Research Center, National Institute of Advanced Industrial Science and Technology +* Defense Systems Company, Hitachi, Ltd. +* Pusan National University + +[big]*v. Submitters* + +All questions regarding this submission should be directed to the editor or the submitters: + +{set:cellbgcolor!} +[width="99%", cols="3,7"] +|=========================================================== +|*Name* |*Organization* +|Kyoung-Sook KIM |Artificial Intelligence Research Center, National Institute of Advanced Industrial Science and Technology +|Taehoon KIM |Artificial Intelligence Research Center, National Institute of Advanced Industrial Science and Technology +|Nobuhiro ISHIMARU|Defense Systems Company, Hitachi, Ltd. +|Ki-Joune LI|Pusan National University +|=========================================================== diff --git a/standard/clause_1_scope.adoc b/standard/clause_1_scope.adoc index c430076..27f1a2c 100755 --- a/standard/clause_1_scope.adoc +++ b/standard/clause_1_scope.adoc @@ -1,38 +1,38 @@ -== Scope -This document defines the structure and content of JSON (JavaScript Object Notation) [https://www.ietf.org/rfc/rfc7159.txt[IETF RFC7159]] -encoding implementation of the conceptual model for moving features described in http://www.iso.org/iso/iso_catalogue/catalogue_tc/catalogue_detail.htm?csnumber=41445[ISO 19141:2008]. -In common, a moving feature is a geographic feature whose location changes over time containing zero or more thematic attributes. -Such a feature may be a car, an airplane, a ship, or something alike. -The geometry of a moving feature to express its motion is defined as a one parameter set of geometries that may be viewed as a set of leaves or -a set of trajectories as shown in the <>. -A leaf represents the geometry of the moving feature at a particular value of the parameter (e.g., a point in time) and -a trajectory is a curve that represents the path of a point in the geometry of the moving feature as it moves with respect to the parameter (e.g., time). - -[#mf-concept,reftext='{figure-caption} {counter:figure-num}'] -.Feature Movement: Trajectory, Leaf, Foliation, and Prism [ISO 19141:2008] -image::mf-concept.png[Conceptual Moving Feature, pdfwidth=60%, width=60%, align="center"] - -In the illustration above, a 2D rectangle moves, rotates, and shrink through time. -Each representation of the rectangle at a given time (e.g., latexmath:[t_1], latexmath:[t_2], and latexmath:[t_3]) is a leaf. -The path traced by each corner point of the rectangle (and by each of its other points) is a trajectory. -The set of points contained in all of the leaves, and in all of the trajectories, forms a prism. -The set of leaves also forms a foliation, meaning that there is a complete and separate representation of the geometry of the feature for each specific time. -If viewed in a 4 dimensional spatiotemporal coordinate system, the points on the feature's geometry at different times are different points. - -This specification of Moving Features JSON encodings extends IETF GeoJSON Format https://www.ietf.org/rfc/rfc7946.txt[[IETF RFC 7946]] to describe two types of dynamic attribute of a feature -or feature collection in a JSON document as follows: - -* _The spatial change over time (temporal geometry)_, representing the movement of the rigid or nonrigid body of a feature; and -* _The thematic change over time (temporal property)_, representing the variation of the value of any descriptive characteristic of a feature. - -The JSON encodings provide an alternative to the OGC(R) Moving Features Encodings XML Core http://docs.opengeospatial.org/is/14-083r2/14-083r2.html[[OGC 14-083r2]] and -Simple Comma Separated Values (CSV) http://docs.opengeospatial.org/is/14-084r2/14-084r2.html[[OGC 14-084r2]] standards by using GeoJSON https://www.ietf.org/rfc/rfc7946.txt[[IETF RFC 7946]]. -Moreover, it can encompass the movement of 1-dimensional, 2-dimensional, 3-dimensional geometric primitives, and their aggregation, as well as moving points and their trajectories. -For exmaple, the representation of the following phenomena in a spatiotemporal domain is scope of this specification: - -* _Discrete phenomena_, which exist only on a set of instants, such as road accidents; -* _Stepwise phenomena_, where the changes of locations are abrupt at an instant, such as administrative boundaries; -* _Continuous phenomena_, whose locations move continuously for a period in time, such as vehicles, typhoons, or floods. - -This specification does not address partial motions of parts of bodies and the dimensonal deformation of the feature (e.g., from 1-d geometry to 0-d geometry). -Also the succession of either features or their association is out of scope in this specification. +== Scope +This document defines the structure and content of JSON (JavaScript Object Notation) [https://www.ietf.org/rfc/rfc7159.txt[IETF RFC7159]] +encoding implementation of the conceptual model for moving features described in http://www.iso.org/iso/iso_catalogue/catalogue_tc/catalogue_detail.htm?csnumber=41445[ISO 19141:2008]. +In common, a moving feature is a geographic feature whose location changes over time containing zero or more thematic attributes. +Such a feature may be a car, a pedestrian, an airplane, a ship, or something alike. +The geometry of a moving feature to express its motion is defined as a one parameter set of geometries that may be viewed as a set of leaves or +a set of trajectories as shown in the <>. +A leaf represents the geometry of the moving feature at a particular value of the parameter (e.g., a point in time) and +a trajectory is a curve that represents the path of a point in the geometry of the moving feature as it moves with respect to the parameter (e.g., time). + +[#mf-concept,reftext='{figure-caption} {counter:figure-num}'] +.Feature Movement: Trajectory, Leaf, Foliation, and Prism [ISO 19141:2008] +image::mf-concept.png[Conceptual Moving Feature, pdfwidth=60%, width=60%, align="center"] + +In the illustration above, a 2D rectangle moves, rotates, and shrink through time. +Each representation of the rectangle at a given time (e.g., latexmath:[t_1], latexmath:[t_2], and latexmath:[t_3]) is a leaf. +The path traced by each corner point of the rectangle (and by each of its other points) is a trajectory. +The set of points contained in all of the leaves, and in all of the trajectories, forms a prism. +The set of leaves also forms a foliation, meaning that there is a complete and separate representation of the geometry of the feature for each specific time. +If viewed in a 4 dimensional spatiotemporal coordinate system, the points on the feature's geometry at different times are different points. + +This specification of Moving Features JSON encodings extends IETF GeoJSON Format https://www.ietf.org/rfc/rfc7946.txt[[IETF RFC 7946]] to describe two types of dynamic attribute of a feature +or feature collection in a JSON document as follows: + +* _Temporal geometry_: The spatial change over time, representing the movement of the rigid or nonrigid body of a feature; and +* _Temporal property_: The thematic change over time, representing the variation of the value of any descriptive characteristic of a feature. + +The JSON encodings provide an alternative to the OGC(R) Moving Features Encodings XML Core http://docs.opengeospatial.org/is/14-083r2/14-083r2.html[[OGC 14-083r2]] and +Simple Comma Separated Values (CSV) http://docs.opengeospatial.org/is/14-084r2/14-084r2.html[[OGC 14-084r2]] standards by using GeoJSON https://www.ietf.org/rfc/rfc7946.txt[[IETF RFC 7946]]. +Moreover, it can encompass the movement of 1-dimensional, 2-dimensional, 3-dimensional geometric primitives, and their aggregation, as well as moving points and their trajectories. +For exmaple, the representation of the following phenomena in a spatiotemporal domain is scope of this specification: + +* _Discrete phenomena_, which exist only on a set of instants, such as road accidents; +* _Stepwise phenomena_, where the changes of locations are abrupt at an instant, such as administrative boundaries; +* _Continuous phenomena_, whose locations move continuously for a period in time, such as vehicles, typhoons, or floods. + +This specification does not address partial motions of parts of bodies and the dimensonal deformation of the feature (e.g., from 1-d geometry to 0-d geometry). +Also the succession of either features or their association is out of scope in this specification. diff --git a/standard/clause_2_conformance.adoc b/standard/clause_2_conformance.adoc index 72a7658..9e07f1f 100755 --- a/standard/clause_2_conformance.adoc +++ b/standard/clause_2_conformance.adoc @@ -1,15 +1,15 @@ -== Conformance - -This standard defines 2 requirements classes with URI: - -* http://www.opengis.net/spec/movingfeatures/json/1.0/req/trajectory -* http://www.opengis.net/spec/movingfeatures/json/1.0/req/prism - -with two accompanying conformance classes with URI: - -* http://www.opengis.net/spec/movingfeatures/json/1.0/conf/trajectory -* http://www.opengis.net/spec/movingfeatures/json/1.0/conf/prism - -Conformance with this standard shall be checked using all the relevant tests specified in Annex A (normative) of this document. -The framework, concepts, and methodology for testing, and the criteria to be achieved to claim conformance are specified -in the OGC Compliance Testing Policies and Procedures and the OGC Compliance Testing web site. +== Conformance + +This standard defines 2 requirements classes with URI: + +* http://www.opengis.net/spec/movingfeatures/json/1.0/req/trajectory +* http://www.opengis.net/spec/movingfeatures/json/1.0/req/prism + +with two accompanying conformance classes with URI: + +* http://www.opengis.net/spec/movingfeatures/json/1.0/conf/trajectory +* http://www.opengis.net/spec/movingfeatures/json/1.0/conf/prism + +Conformance with this standard shall be checked using all the relevant tests specified in Annex A (normative) of this document. +The framework, concepts, and methodology for testing, and the criteria to be achieved to claim conformance are specified +in the OGC Compliance Testing Policies and Procedures and the OGC Compliance Testing web site. diff --git a/standard/clause_3_references.adoc b/standard/clause_3_references.adoc index 906cd15..ba61a70 100755 --- a/standard/clause_3_references.adoc +++ b/standard/clause_3_references.adoc @@ -1,72 +1,72 @@ -== References -The following normative documents contain provisions that, through reference in this text, constitute provisions of this document. For dated references, subsequent amendments to, or revisions of, any of these publications do not apply. For undated references, the latest edition of the normative document referred to applies. - -* OGC: https://portal.opengeospatial.org/files/?artifact_id=39049[OGC 08-015r2], _OGC Abstract Specifications - Topic 2 - Spatial referencing by coordinates_, version 4.0, 2010. -* OGC: https://portal.opengeospatial.org/files/?artifact_id=37761[OGC 10-020], _OGC Abstract Specifications - Topic 2.1 - Spatial referencing by coordinates - Extension for Parametric Values_, version 1.0, 2014. -* OGC: http://docs.opengeospatial.org/is/15-042r3/15-042r3.html[OGC 15-042r3],_TimeseriesML 1.0 – XML Encoding of the Timeseries Profile of Observations and Measurements_, version 1.0, 2016. -* OGC: http://www.opengeospatial.org/standards/movingfeatures[OGC 14-083r2], _OGC Moving Features Encoding Part I: XML Core_, 2015. -* OGC: http://www.opengeospatial.org/standards/movingfeatures[OGC 14-084r2], _OGC Moving Features Encoding Extension: Simple Comma Separated Values (CSV)_, 2015. -* OGC: http://www.opengeospatial.org/standards/movingfeatures[OGC 16-120r3], _OGC Moving Features Access_, 2017. -* ISO: http://isotc.iso.org/livelink/livelink?func=ll&objId=4230456&objAction=browse&sort=subtype[ISO/IEC Directives], _Part 2. Rules for the structure and drafting of International Standards_ -* ISO: http://www.iso.org/iso/catalogue_detail?csnumber=40874[ISO 8601:2004], _Data elements and interchange formats - Information interchange - Representation of dates and time_, 2004. -* ISO: http://www.iso.org/iso/catalogue_detail?csnumber=59164[ISO 19101:2014], _Geographic information — Reference model — Part 1: Fundamentals_, 2014. -* ISO: http://www.iso.org/iso/catalogue_detail?csnumber=26012[ISO 19107:2003] _Geographic Information - Spatial schema_, 2003. -* ISO: http://www.iso.org/iso/catalogue_detail?csnumber=26012[ISO 19108:2002] _Geographic Information - Temporal schema_, 2002. -* ISO: http://www.iso.org/iso/iso_catalogue/catalogue_tc/catalogue_detail.htm?csnumber=41445[ISO 19141:2008], _Geographic information - Schema for moving features_, 2008. -* ISO/IEC: https://www.iso.org/standard/35343.html[ISO 11179-1:2004], _Information technology — Metadata registries (MDR) — Part 1: Framework_, 2004. -* IETF: https://www.ietf.org/rfc/rfc3339.txt[IETF RFC 3339], _Date and Time on the Internet: Timestamps_, 2002. -* IETF: https://www.ietf.org/rfc/rfc3986.txt[IETF RFC 3986], _Uniform Resource Identifier (URI): Generic Syntax_, 2005. -* IETF: https://www.ietf.org/rfc/rfc7159.txt[IETF RFC 7159], _The JavaScript Object Notation (JSON) Data Interchange Format_, 2014. -* IETF: https://www.ietf.org/rfc/rfc7464.txt[IETF RFC 7464], _JavaScript Object Notation (JSON) Text Sequences_, 2015. -* IETF: https://www.ietf.org/rfc/rfc7946.txt[IETF RFC 7946], _The GeoJSON Format_, 2016. - -///// -Additionally the following informative documents are addressed: - -* OGC: OGC 17-069, _OGC Web Feature Service 3.0: Part 1 - Core_, 2017. - -The following normative documents contain provisions that, through reference in this text, constitute provisions of this document. For dated references, subsequent amendments to, or revisions of, any of these publications do not apply. For undated references, the latest edition of the normative document referred to applies. - -[NOTE] -==== -Insert References here. If there are no references, state “There are no normative references”. - -References are to follow the Springer LNCS style, with the exception that optional information may be appended to references: DOIs are added after the date and web resource references may include an access date at the end of the reference in parentheses. See examples from Springer and OGC below. - -Smith, T.F., Waterman, M.S.: Identification of Common Molecular Subsequences. -J. Mol. Biol. 147, 195–197 (1981) - -May, P., Ehrlich, H.C., Steinke, T.: ZIB Structure Prediction Pipeline: Composing -a Complex Biological Workflow through Web Services. In: Nagel, W.E., Walter, -W.V., Lehner, W. (eds.) Euro-Par 2006. LNCS, vol. 4128, pp. 1148–1158. Springer, -Heidelberg (2006) - -Foster, I., Kesselman, C.: The Grid: Blueprint for a New Computing Infrastructure. -Morgan Kaufmann, San Francisco (1999) - -Czajkowski, K., Fitzgerald, S., Foster, I., Kesselman, C.: Grid Information Services -for Distributed Resource Sharing. In: 10th IEEE International Symposium on High -Performance Distributed Computing, pp. 181–184. IEEE Press, New York (2001) - -Foster, I., Kesselman, C., Nick, J., Tuecke, S.: The Physiology of the Grid: an Open -Grid Services Architecture for Distributed Systems Integration. Technical report, -Global Grid Forum (2002) - -National Center for Biotechnology Information, http://www.ncbi.nlm.nih.gov - - -ISO / TC 211: ISO 19115-1:2014 Geographic information -- Metadata -- Part 1: Fundamentals (2014) - -ISO / TC 211: ISO 19157:2013 Geographic information -- Data quality (2013) - -ISO / TC 211: ISO 19139:2007 Geographic information -- Metadata -- XML schema implementation (2007) - -ISO / TC 211: ISO 19115-3: Geographic information -- Metadata -- Part 3: XML schemas (2016) - -OGC: OGC 15-097 OGC Geospatial User Feedback Standard. Conceptual Model (2016) - -OGC: OGC 12-019, OGC City Geography Markup Language (CityGML) Encoding Standard (2012) - -OGC: OGC 14-005r3, OGC IndoorGML (2014) -==== -///// +== References +The following normative documents contain provisions that, through reference in this text, constitute provisions of this document. For dated references, subsequent amendments to, or revisions of, any of these publications do not apply. For undated references, the latest edition of the normative document referred to applies. + +* OGC: https://www.opengeospatial.org/standards/common[OGC 06-121r9], _OGC Web Service Common Implementation Specification_, version 2.0, 2010. +* OGC: https://portal.opengeospatial.org/files/?artifact_id=39049[OGC 08-015r2], _OGC Abstract Specifications - Topic 2 - Spatial referencing by coordinates_, version 4.0, 2010. +* OGC: https://portal.opengeospatial.org/files/?artifact_id=37761[OGC 10-020], _OGC Abstract Specifications - Topic 2.1 - Spatial referencing by coordinates - Extension for Parametric Values_, version 1.0, 2014. +* OGC: http://docs.opengeospatial.org/is/15-042r3/15-042r3.html[OGC 15-042r3],_TimeseriesML 1.0 – XML Encoding of the Timeseries Profile of Observations and Measurements_, version 1.0, 2016. +* OGC: http://www.opengeospatial.org/standards/movingfeatures[OGC 14-083r2], _OGC Moving Features Encoding Part I: XML Core_, 2015. +* OGC: http://www.opengeospatial.org/standards/movingfeatures[OGC 14-084r2], _OGC Moving Features Encoding Extension: Simple Comma Separated Values (CSV)_, 2015. +* ISO: http://isotc.iso.org/livelink/livelink?func=ll&objId=4230456&objAction=browse&sort=subtype[ISO/IEC Directives], _Part 2. Rules for the structure and drafting of International Standards_ +* ISO: http://www.iso.org/iso/catalogue_detail?csnumber=40874[ISO 8601:2004], _Data elements and interchange formats - Information interchange - Representation of dates and time_, 2004. +* ISO: http://www.iso.org/iso/catalogue_detail?csnumber=59164[ISO 19101:2014], _Geographic information — Reference model — Part 1: Fundamentals_, 2014. +* ISO: http://www.iso.org/iso/catalogue_detail?csnumber=26012[ISO 19107:2003] _Geographic Information - Spatial schema_, 2003. +* ISO: http://www.iso.org/iso/catalogue_detail?csnumber=26012[ISO 19108:2002] _Geographic Information - Temporal schema_, 2002. +* ISO: http://www.iso.org/iso/iso_catalogue/catalogue_tc/catalogue_detail.htm?csnumber=41445[ISO 19141:2008], _Geographic information - Schema for moving features_, 2008. +* ISO/IEC: https://www.iso.org/standard/35343.html[ISO 11179-1:2004], _Information technology — Metadata registries (MDR) — Part 1: Framework_, 2004. +* IETF: https://www.ietf.org/rfc/rfc3339.txt[IETF RFC 3339], _Date and Time on the Internet: Timestamps_, 2002. +* IETF: https://www.ietf.org/rfc/rfc3986.txt[IETF RFC 3986], _Uniform Resource Identifier (URI): Generic Syntax_, 2005. +* IETF: https://www.ietf.org/rfc/rfc7159.txt[IETF RFC 7159], _The JavaScript Object Notation (JSON) Data Interchange Format_, 2014. +* IETF: https://www.ietf.org/rfc/rfc7464.txt[IETF RFC 7464], _JavaScript Object Notation (JSON) Text Sequences_, 2015. +* IETF: https://www.ietf.org/rfc/rfc7946.txt[IETF RFC 7946], _The GeoJSON Format_, 2016. + +///// +Additionally the following informative documents are addressed: + +* OGC: OGC 17-069, _OGC Web Feature Service 3.0: Part 1 - Core_, 2017. + +The following normative documents contain provisions that, through reference in this text, constitute provisions of this document. For dated references, subsequent amendments to, or revisions of, any of these publications do not apply. For undated references, the latest edition of the normative document referred to applies. + +[NOTE] +==== +Insert References here. If there are no references, state “There are no normative references”. + +References are to follow the Springer LNCS style, with the exception that optional information may be appended to references: DOIs are added after the date and web resource references may include an access date at the end of the reference in parentheses. See examples from Springer and OGC below. + +Smith, T.F., Waterman, M.S.: Identification of Common Molecular Subsequences. +J. Mol. Biol. 147, 195–197 (1981) + +May, P., Ehrlich, H.C., Steinke, T.: ZIB Structure Prediction Pipeline: Composing +a Complex Biological Workflow through Web Services. In: Nagel, W.E., Walter, +W.V., Lehner, W. (eds.) Euro-Par 2006. LNCS, vol. 4128, pp. 1148–1158. Springer, +Heidelberg (2006) + +Foster, I., Kesselman, C.: The Grid: Blueprint for a New Computing Infrastructure. +Morgan Kaufmann, San Francisco (1999) + +Czajkowski, K., Fitzgerald, S., Foster, I., Kesselman, C.: Grid Information Services +for Distributed Resource Sharing. In: 10th IEEE International Symposium on High +Performance Distributed Computing, pp. 181–184. IEEE Press, New York (2001) + +Foster, I., Kesselman, C., Nick, J., Tuecke, S.: The Physiology of the Grid: an Open +Grid Services Architecture for Distributed Systems Integration. Technical report, +Global Grid Forum (2002) + +National Center for Biotechnology Information, http://www.ncbi.nlm.nih.gov + + +ISO / TC 211: ISO 19115-1:2014 Geographic information -- Metadata -- Part 1: Fundamentals (2014) + +ISO / TC 211: ISO 19157:2013 Geographic information -- Data quality (2013) + +ISO / TC 211: ISO 19139:2007 Geographic information -- Metadata -- XML schema implementation (2007) + +ISO / TC 211: ISO 19115-3: Geographic information -- Metadata -- Part 3: XML schemas (2016) + +OGC: OGC 15-097 OGC Geospatial User Feedback Standard. Conceptual Model (2016) + +OGC: OGC 12-019, OGC City Geography Markup Language (CityGML) Encoding Standard (2012) + +OGC: OGC 14-005r3, OGC IndoorGML (2014) +==== +///// diff --git a/standard/clause_4_terms_and_definitions.adoc b/standard/clause_4_terms_and_definitions.adoc index 1f232c6..f7f1461 100755 --- a/standard/clause_4_terms_and_definitions.adoc +++ b/standard/clause_4_terms_and_definitions.adoc @@ -1,218 +1,215 @@ -== Terms and Definitions -This document uses the terms defined in Sub-clause 5.3 of [OGC 06-121r8], which is based on the ISO/IEC Directives, Part 2, Rules for the structure and drafting of International Standards. -In particular, the word “SHALL” (not “must”) is the verb form used to indicate a requirement to be strictly followed to conform to this standard. - -For the purposes of this document, the following additional terms and definitions apply. - -///// -=== *API* -An interface that is defined in terms of a set of functions and procedures, and enables a program to gain access to facilities within an application. (Definition from Dictionary of Computer Science - Oxford Quick Reference, 2016) - -=== *client* -software component that can invoke an operation from a server + - [ OGC 06-121r9 ] -///// - -=== *base representation* - representation, using a local origin and local ordinate vectors, of a geometric object at a given reference time. -[ ISO 19141:2008 ] - - NOTE 1: A rigid geometric object many undergo translation or rotation, but remains congruent with its base representation. - - NOTE 2: The local origin and ordinate vectors establish an engineering coordinate reference system (ISO 19111), also called a local frame or a local Euclidean coordinate system. - -=== *coordinate* -one of a sequence of n numbers designating the position of a point in n-dimensional space + -[ OGC 08-015r2 ] - - NOTE: In a coordinate reference system, the coordinate numbers are qualified by units. - -=== *coordinate reference system* -coordinate system that is related to an object by a datum + -[ OGC 08-015r2 ] - - NOTE: For geodetic and vertical datums, the object will be the Earth. - -=== *curve* -1-dimensional geometric primitive, representing the countinous image of a line + -[ ISO 19107:2003 ] - - NOTE: The boudary of a curve is the set of points at either end of the curve. If the curve is a cycle, the two ends are identical, and the curve (if toplogically closed) is considered to not have a boudary. - The first point is called the start point, and the last is the end point. Connectivity of the curve is guarateed by the "continuous image of a line" clause. A topological theorem states that a - continous image of a connected set is connected. - -=== *domain* -well-defined set + -[ ISO 19109:2015 ] - -=== *dynamic attribute* -characteristic of a feature in which its value taken from the domain of the feature attribute type varies with time - -=== *encoding* -Conversion of data into a series of codes + -[ ISO 11179-1:2004 ] - -=== *engineering coordinate reference system* -coordinate reference system based on an engineering datum -[ OGC 08-015r2 ] - - EXAMPLES: Local engineering and architectural grids; coordinate reference system local to a ship or an orbiting spacecraft. - -=== *feature* -abstraction of real world phenomena + -[ ISO 19101:2014 ] - -=== *feature attribute* -characteristic of a feature + -[ ISO 19109:2015 ] - - Note: A feature attribute type has a name, a data type and a domain associated with it. A feature attribute instance has an attribute value taken - from the domain of the feature attribute type. - -=== *feature collection; collection* -a set of features from a dataset + - - NOTE: In this specification, 'collection' is used as a synonym for 'feature collection'. - This is done to make, for example, URI path expressions shorter and easier to understand for those that are not geo-experts. - -=== *foliation* -one parameter set of geometries such that each point in the prism of the set is in one and only one -trajectory and in one and only one leaf + -[ ISO 19141:2008 ] - -=== *geometric object* -spatial object representing a geometric set + -[ ISO 19107:2003 ] - - NOTE: A geometric object consists of a geometric primitive, a collection of geometric primitives, - or a geometric complex treated as a single entity. A geometric object may be the spatial representation of an object such as a feature or a significant part of a feature. - -=== *geometric primitive* -geometric object representing a single, connected, homogeneous element of space + -[ ISO 19107:2003 ] - - NOTE: Geometric primitives are non-decomposed objects that present information about geometric configuration. They include points, curves, surfaces, and solids. - -//// -=== *interface* -named set of operations that characterize the behaviour of an entity + -[ ISO 19119:2006 ] -//// - -=== *instant* -zero-dimensional geometric primitive representing position in time + -[ ISO 19108:2002 ] - -=== *leaf* - geometry at a particular value of the parameter + -[ ISO 19141:2008 ] - -=== *life span* -period during which something exists + -[ ISO 19108:2002 ] - -=== *motion* -a change in position measured by distance and time - - -=== *moving feature* -feature whose position changes over time + - - NOTE: Its base representation uses a local origin and local coordinate vectors of a geometric object at a given reference time. - - -=== *one parameter set of geometries* -function latexmath:[f] from an interval latexmath:[t \in [a, b]] such that latexmath:[f(t)] is a geometry and for each point latexmath:[P \in f(a)] there is a one -parameter set of points (called the trajectory of latexmath:[P]) latexmath:[P(t)]: latexmath:[[a, b]] latexmath:[\rightarrow P(t)] such that latexmath:[P(t) \in f(t)] + -[ ISO 19141:2008 ] - - EXAMPLE: A curve C with constructive parameter (variable) t is a one parameter set of points c(t). - -=== *one parameter set of values* -function latexmath:[f] from an interval latexmath:[t \in [a, b]] such that latexmath:[f(t)] is a measure value latexmath:[m] in a plane with coordinate latexmath:[(t, m)] - - -=== *parametric coordinate reference system* -coordinate reference system based on a parametric datum + -[ OGC 10-020 ] - -=== *parametric datum* -datum describing the relationship of a parametric coordinate system to an object + -[ OGC 10-020 ] - - NOTE The object is normally the Earth. - -///// -=== *parametric coordinate system* -one-dimensonal coordinate system where the axis units are parameter values which are not inherently spatial + -[ ISO 19111-2:2009 ] - -=== *spatio-parametric coordinate refernce system* -compound coordinate reference system in which one constituent coordinate reference system is a parametric coordinate reference system and one is a spatial coordinate reference system + -[ ISO 19111-2:2009 ] - -=== *spatio-parametric-temporal coordinate refernce system* -compound coordinate reference system comprised of spatial, parametric and temporal coordinate reference systems + -[ ISO 19111-2:2009 ] -///// - -=== *period* -one-dimensional geometric primitive representing extent in time + -[ ISO 19108:2002 ] - - NOTE: A period is bounded by two different temporal positions. - -=== *position* -data type that describes a point or geometry potentially occupied by an object or person - -=== *prism* - set of points in the union of the geometries (or the union of the -trajectories) of a one parameter set of geometries + -[ ISO 19141:2008 ] - -///// -=== *request* -invocation of an operation by a client + -[ OGC 06-121r9 ] - -=== *resource* -any addressable unit of information or service + -[ IETF RFC 3986 ] - -=== *response* -result of an operation, returned from a server to a client + -[ OGC 06-121r9 ] - -=== *server* -a particular instance of a service + -[ OGC 06-121r9 ] - -=== *service* -distinct part of the functionality that is provided by an entity through interfaces + -[ ISO 19119:2006 ] -///// - - -=== *temporal coordinate reference system* -coordinate reference system based on a temporal datum - -=== *temporal datum* -datum describing the relationship of a temporal coordinate system to an object - - -=== *temporal geometry* -one parameter set of geometries in which the parameter is time - -=== *trajectory* -path of a moving *point* described by a one parameter set of points + -[ ISO 19141:2008 ] - -///// -=== *valid time* -time when a fact is true in the abstracted reality + -[ ISO 19108:2002 ] -///// - -=== *value* -element of a type domain + -[ ISO/IEC 19501:2005 ] +== Terms and Definitions +This document uses the terms defined in Sub-clause 5.3 of [OGC 06-121r8], which is based on the ISO/IEC Directives, Part 2, Rules for the structure and drafting of International Standards. +In particular, the word “SHALL” (not “must”) is the verb form used to indicate a requirement to be strictly followed to conform to this standard. + +For the purposes of this document, the following additional terms and definitions apply. + +///// +=== *API* +An interface that is defined in terms of a set of functions and procedures, and enables a program to gain access to facilities within an application. (Definition from Dictionary of Computer Science - Oxford Quick Reference, 2016) + +=== *client* +software component that can invoke an operation from a server + + [ OGC 06-121r9 ] +///// + +=== *base representation* + representation, using a local origin and local ordinate vectors, of a geometric object at a given reference time. +[ ISO 19141:2008 ] + + NOTE 1: A rigid geometric object many undergo translation or rotation, but remains congruent with its base representation. + + NOTE 2: The local origin and ordinate vectors establish an engineering coordinate reference system (ISO 19111), also called a local frame or a local Euclidean coordinate system. + +=== *coordinate* +one of a sequence of n numbers designating the position of a point in n-dimensional space + +[ OGC 08-015r2 ] + + NOTE: In a coordinate reference system, the coordinate numbers are qualified by units. + +=== *coordinate reference system* +coordinate system that is related to an object by a datum + +[ OGC 08-015r2 ] + + NOTE: For geodetic and vertical datums, the object will be the Earth. + +=== *curve* +1-dimensional geometric primitive, representing the countinous image of a line + +[ ISO 19107:2003 ] + + NOTE: The boudary of a curve is the set of points at either end of the curve. If the curve is a cycle, the two ends are identical, and the curve (if toplogically closed) is considered to not have a boudary. + The first point is called the start point, and the last is the end point. Connectivity of the curve is guarateed by the "continuous image of a line" clause. A topological theorem states that a continous image of a connected set is connected. + +=== *domain* +well-defined set + +[ ISO 19109:2015 ] + +=== *dynamic attribute* +characteristic of a feature in which its value taken from the domain of the feature attribute type varies with time + +=== *encoding* +Conversion of data into a series of codes + +[ ISO 11179-1:2004 ] + +=== *engineering coordinate reference system* +coordinate reference system based on an engineering datum +[ OGC 08-015r2 ] + + EXAMPLES: Local engineering and architectural grids; coordinate reference system local to a ship or an orbiting spacecraft. + +=== *feature* +abstraction of real world phenomena + +[ ISO 19101:2014 ] + +=== *feature attribute* +characteristic of a feature + +[ ISO 19109:2015 ] + + Note: A feature attribute type has a name, a data type and a domain associated with it. A feature attribute instance has an attribute value taken from the domain of the feature attribute type. + +=== *feature collection; collection* +a set of features from a dataset + + + NOTE: In this specification, 'collection' is used as a synonym for 'feature collection'. + This is done to make, for example, URI path expressions shorter and easier to understand for those that are not geo-experts. + +=== *foliation* +one parameter set of geometries such that each point in the prism of the set is in one and only one +trajectory and in one and only one leaf + +[ ISO 19141:2008 ] + +=== *geometric object* +spatial object representing a geometric set + +[ ISO 19107:2003 ] + + NOTE: A geometric object consists of a geometric primitive, a collection of geometric primitives, or a geometric complex treated as a single entity. A geometric object may be the spatial representation of an object such as a feature or a significant part of a feature. + +=== *geometric primitive* +geometric object representing a single, connected, homogeneous element of space + +[ ISO 19107:2003 ] + + NOTE: Geometric primitives are non-decomposed objects that present information about geometric configuration. They include points, curves, surfaces, and solids. + +//// +=== *interface* +named set of operations that characterize the behaviour of an entity + +[ ISO 19119:2006 ] +//// + +=== *instant* +zero-dimensional geometric primitive representing position in time + +[ ISO 19108:2002 ] + +=== *leaf* + geometry at a particular value of the parameter + +[ ISO 19141:2008 ] + +=== *life span* +period during which something exists + +[ ISO 19108:2002 ] + +=== *motion* +a change in position measured by distance and time + + +=== *moving feature* +feature whose position changes over time + + + NOTE: Its base representation uses a local origin and local coordinate vectors of a geometric object at a given reference time. + + +=== *one parameter set of geometries* +function latexmath:[f] from an interval latexmath:[t \in [a, b]] such that latexmath:[f(t)] is a geometry and for each point latexmath:[P \in f(a)] there is a one +parameter set of points (called the trajectory of latexmath:[P]) latexmath:[P(t)]: latexmath:[[a, b]] latexmath:[\rightarrow P(t)] such that latexmath:[P(t) \in f(t)] + +[ ISO 19141:2008 ] + + EXAMPLE: A curve C with constructive parameter (variable) t is a one parameter set of points c(t). + +=== *one parameter set of values* +function latexmath:[f] from an interval latexmath:[t \in [a, b]] such that latexmath:[f(t)] is a measure value latexmath:[m] in a plane with coordinate latexmath:[(t, m)] + + +=== *parametric coordinate reference system* +coordinate reference system based on a parametric datum + +[ OGC 10-020 ] + +=== *parametric datum* +datum describing the relationship of a parametric coordinate system to an object + +[ OGC 10-020 ] + + NOTE The object is normally the Earth. + +///// +=== *parametric coordinate system* +one-dimensonal coordinate system where the axis units are parameter values which are not inherently spatial + +[ ISO 19111-2:2009 ] + +=== *spatio-parametric coordinate refernce system* +compound coordinate reference system in which one constituent coordinate reference system is a parametric coordinate reference system and one is a spatial coordinate reference system + +[ ISO 19111-2:2009 ] + +=== *spatio-parametric-temporal coordinate refernce system* +compound coordinate reference system comprised of spatial, parametric and temporal coordinate reference systems + +[ ISO 19111-2:2009 ] +///// + +=== *period* +one-dimensional geometric primitive representing extent in time + +[ ISO 19108:2002 ] + + NOTE: A period is bounded by two different temporal positions. + +=== *position* +data type that describes a point or geometry potentially occupied by an object + +=== *prism* + set of points in the union of the geometries (or the union of the +trajectories) of a one parameter set of geometries + +[ ISO 19141:2008 ] + +///// +=== *request* +invocation of an operation by a client + +[ OGC 06-121r9 ] + +=== *resource* +any addressable unit of information or service + +[ IETF RFC 3986 ] + +=== *response* +result of an operation, returned from a server to a client + +[ OGC 06-121r9 ] + +=== *server* +a particular instance of a service + +[ OGC 06-121r9 ] + +=== *service* +distinct part of the functionality that is provided by an entity through interfaces + +[ ISO 19119:2006 ] +///// + + +=== *temporal coordinate reference system* +coordinate reference system based on a temporal datum + +=== *temporal datum* +datum describing the relationship of a temporal coordinate system to an object + + +=== *temporal geometry* +one parameter set of geometries in which the parameter is time + +=== *trajectory* +path of a moving point described by a one parameter set of points + +[ ISO 19141:2008 ] + +///// +=== *valid time* +time when a fact is true in the abstracted reality + +[ ISO 19108:2002 ] +///// + +=== *value* +element of a type domain + +[ ISO/IEC 19501:2005 ] diff --git a/standard/clause_5_conventions.adoc b/standard/clause_5_conventions.adoc index a8afe3e..6f50607 100755 --- a/standard/clause_5_conventions.adoc +++ b/standard/clause_5_conventions.adoc @@ -1,54 +1,55 @@ -== Conventions -This sections provides details and examples for any conventions used in the document. -Examples of conventions are symbols, abbreviations, use of XML schema, or special notes regarding how to read the document. - -=== Identifiers -The normative provisions in this specification are denoted by the URI - -http://www.opengis.net/spec/movingfeatures/json/1.0 - -All requirements and conformance tests that appear in this document are denoted by partial URIs which are relative to this base. - -All examples in this document are informative only. - -=== JSON notation - -The notation of JSON in this document is based on the specification of [RFC 7159]. - -The ordering of the members of any JSON object must be considered irrelevant. Some examples use a JavaScript single line comment (//) and an ellipsis (...) as placeholder notation for a specific JSON instance. -Whitespace is used in the examples inside this document to help illustrate the data structures, but is not required. Unquoted whitespace is not significant in JSON. - -=== UML notation - -Unified Modeling Language (UML) static structure diagrams appearing in this document are used as described in Subclause 5.2 of OGC Web Services Common [OGC 06-121r9]. - -=== Abbreviated terms - -The following symbols and abbreviated terms are used in this best practice paper: - -[width="99%", cols="2,8"] -|========= -|CRS | Coordinate Reference Systems -|CSV | Comma Separated Values -|IETF | Internet Engineering Task Force -|ISO | International Organization for Standardization -|JSON | JavaScript Object Notation -|OGC | Open Geospatial Consortium -|UML | Unified Modeling Language -|URI | Uniform Resource Identifiers -|URL | Uniform Resource Locators -|XML | Extensible Markup Language -|1D | One Dimensional -|2D | Two Dimensional -|3D | Three Dimensional -|========= - - -///////// -|API | Application Program Interface -|CRUD | Create, Read, Update, Delete -|HTTP | Hypertext Transfer Protocol -|OASIS| Organization for the Advancement of Structured Information Standards -|REST | Representational State Transfer -|WKT | Well Known Text -///////// +== Conventions +This sections provides details and examples for any conventions used in the document. +Examples of conventions are symbols, abbreviations, or special notes regarding how to read the document. + +=== Identifiers +The normative provisions in this specification are denoted by the URI + +http://www.opengis.net/spec/movingfeatures/json/1.0 + +All requirements and conformance tests that appear in this document are denoted by partial URIs which are relative to this base. + +All examples in this document are informative only. + +=== JSON notation + +The notation of JSON in this document is based on the specification of [RFC 7159]. + +The ordering of the members of any JSON object must be considered irrelevant. Some examples use a JavaScript single line comment (//) and an ellipsis (...) as placeholder notation for a specific JSON instance. +Whitespace is used in the examples inside this document to help illustrate the data structures, but is not required. Unquoted whitespace is not significant in JSON. + +=== UML notation + +Unified Modeling Language (UML) static structure diagrams appearing in this document are used as described in Subclause 5.2 of OGC Web Services Common [OGC 06-121r9]. + +=== Abbreviated terms + +The following symbols and abbreviated terms are used in this standard: + +[width="99%", cols="2,8"] +|========= +|CRS | Coordinate Reference Systems +|CSV | Comma Separated Values +|IETF | Internet Engineering Task Force +|ISO | International Organization for Standardization +|JSON | JavaScript Object Notation +|OGC | Open Geospatial Consortium +|UML | Unified Modeling Language +|URI | Uniform Resource Identifiers +|URL | Uniform Resource Locators +|XML | Extensible Markup Language +|0D | Zero Dimensional +|1D | One Dimensional +|2D | Two Dimensional +|3D | Three Dimensional +|========= + + +///////// +|API | Application Program Interface +|CRUD | Create, Read, Update, Delete +|HTTP | Hypertext Transfer Protocol +|OASIS| Organization for the Advancement of Structured Information Standards +|REST | Representational State Transfer +|WKT | Well Known Text +///////// diff --git a/standard/clause_6_overview_informative.adoc b/standard/clause_6_overview_informative.adoc index 3a7f80e..f03a3f0 100755 --- a/standard/clause_6_overview_informative.adoc +++ b/standard/clause_6_overview_informative.adoc @@ -1,100 +1,100 @@ -== Overview of Moving Features JSON Encodings (Informative) - -This document provides an alternative to the OGC(R) Moving Features Encodings XML Core http://docs.opengeospatial.org/is/14-083r2/14-083r2.html[[OGC 14-083r2]] -and Simple Comma Separated Values (CSV) http://docs.opengeospatial.org/is/14-084r2/14-084r2.html[[OGC 14-084r2]] standards -by using JSON objects that is easily readable by machines and by humans. -The JSON encoding formats for sharing moving feature data specified in this document leverages *GeoJSON* https://www.ietf.org/rfc/rfc7946.txt[[IETF RFC 7946]] -that has already been commonly used in many applications and well supported by tools and software libraries. -This standard defines two JSON encoding forms: *MF-JSON Trajectory* and *MF-JSON Prism*. -If an application focuses on only the linear movement (i.e., the spatiotemporal line string) of moving points -based on World Geodetic System 1984, with longitude and latitude units of decimal degrees, -the application can share the trajectory data by using *only* GeoJSON, called *MF-JSON Trajectory*. -For other cases, *MF-JSON Prism* can be used for expressing more complex movements of moving features. -*MF-JSON Prism* is an extension of GeoJSON formats reserving new members of JSON objects (`"temporalGeometry", "temporalProperties", "crs", "trs", "time"`, and etc.) as "foreign members" -to represent spatiotemporal geometries, variations of measure, coordinate reference systems, and the time interval of moving features in the GeoJSON document. -<> presents the overview of two forms of Moving Features JSON encodings. - -[#mf-encodings,reftext='{figure-caption} {counter:figure-num}'] -.JSON encodings for moving feature data -image::mf-encodings.png[mf-encodings, pdfwidth=65%, width=65%, align="center"] - -[NOTE] -.Coordinate Reference System (CRS) -The IETF GeoJSON format recommends a single coordinate reference system based on World Geodetic System 1984, with longitude and latitude units of decimal degrees. -However, a moving feature needs a temporal coordinate system and may require an engineering coordinate reference system or parametric coordinate reference system -to represent the movement of the geometry of the feature in the case of an application request. Therefore, MF-JSON includes the "crs" field as described in GeoJSON(2008)[[GEOJSON]]. - -TIP: The existing GeoJSON implementation can ignore the new members of "temporalGeometry", "temporalProperties", "trs", and "time" in an MF-JSON document -if there is no processing module for foreign members. Accordingly, MF-JSON is compatible with the GeoJSON encoding. - -<> illustrates an example of the movement of a hurricane with a time-varying 2-dimensional geometry as a moving feature. Suppose the pressure centroid of the hurricane reported four locations -at latexmath:[t_1, t_2, t_3], and latexmath:[t_4]. Its trajectory may be drawn depending on the interpolation method between two consecutive locations, such as latexmath:[A] (linear) or latexmath:[B] (Quadratic). -https://www.iso.org/standard/41445.html[ISO 19141:2008] defines a conceptual schema of a moving feature based on geometry types as shown in <>. -The ISO conceptual schema represents the motion consisting of translation and/or rotation of a moving feature, but not including deformation of the geometry, over time. - -[#mf-hurricane,reftext='{figure-caption} {counter:figure-num}'] -.Example of a moving feature: a hurricane and its properties -image::mf-hurricane.png[mf-hurricane, pdfwidth=70%, width=70%, align="center"] - -[#mf-iso,reftext='{figure-caption} {counter:figure-num}'] -.Components of the moving feature packages in ISO 19141:2008 -image::mf-iso.png[Components, pdfwidth=95%, width=95%, align="center"] - -The data model defined in https://www.iso.org/standard/41445.html[ISO 19141:2008] is based on two geometric types: *MF_OneParamGeometry* and *MF_Trajectory*. -*MF_OneParamGeometry* is the type to describe a function latexmath:[f] from an interval latexmath:[t \in [a, b]] such that latexmath:[f(t)] is a geometry. -A leaf of a one parameter set of geometries is the geometry latexmath:[f(t)] at a particular value latexmath:[t] of the parameter. -*MF_Trajectory* describes a one-parameter geometry whose cross section is a point as a leaf. -*MF_OneParamGeometry* and *MF_Trajectory* is specialized as *MF_TemporalGeometry* and *MF_TemporalTrajectory* respectively, when the parameter is time representing a multiple of a single unit of measure -such as year, day, or second for those types. *MF_TemporalTrajectory* is also a sub-type of *MF_TemporalGeometry*. -The OGC Moving Features XML and CSV standard provide the encoding formats to represent linear trajectories of moving points, typically representing vehicles or pedestrians. -<> shows an example for linear trajectories of two moving points A and B. -Each trajectory has the start time and the end time. Both points start to move at t=10sec and end at t=19sec. While the movement of B does not change, the movement of A is changed at t=15sec. -<> and <> shows how to encode the trajectories shown in <> by using two OGC Moving Features encoding standards. -However, XML and CSV encoding standards have limitation on the representation of prism geometries such as *MF_PrismGeometry* and *MF_RigidTemporalGeometry*. -They describe the implementation of only a type of *MF_TemporalTrajectory* with linear interpolation of movement. -This MF-JSON standard specifies how to encode the same information by using GeoJSON; Additionally, it defines new JSON members to support applications that need more power expression of -the movement of a feature whose geometry may be 0D, 1D, 2D, 3D geometric primitives, or their aggregations and continuously changes over time with various temporal interpolation methods. - -[#mf-ogc,reftext='{figure-caption} {counter:figure-num}'] -.Example for two linear trajectories -image::mf-ogc.png[Components, pdfwidth=70%, width=70%, align="center"] - -[#mf-xml, reftext='{example-caption} {counter:example-num}'] -.Example {counter:example-num}: OGC Moving Features XML Core encoding of linear trajectories. -[source, xml] - - - - - 50.23 9.23 - 50.31 9.27 - 2012-01-17T12:33:41Z - 2012-01-17T12:37:00Z - - - ...... - - - 11.0 2.0 12.0 3.0 - walking,1 - - - 10.0 2.0 11.0 3.0 - walking,2 - - - 12.0 3.0 10.0 3.0 - walking,2 - - - - - -[#mf-csv, reftext='{example-caption} {counter:example-num}'] -[source, csv] -.Example {counter:example-num}: OGC Moving Features CSV encoding of linear trajectories. -@stboundedby,urn:x-ogc:def:crs:EPSG:6.6:4326,2D,50.23 9.23,50.31 9.27,2012-01-17T12:33:41Z,2012-01-17T12:37:00Z,sec -@columns,mfidref,trajectory,state,xsd:token,”type code”,xsd:integer -A,10,15,11.0 2.0 12.0 3.0,walking,1 -B,10,19,10.0 2.0 11.0 3.0,walking,2 -A,15,19,12.0 3.0 10.0 3.0,walking,2 +== Overview of Moving Features JSON Encodings (Informative) + +This document provides an alternative to the OGC(R) Moving Features Encodings XML Core http://docs.opengeospatial.org/is/14-083r2/14-083r2.html[[OGC 14-083r2]] +and Simple Comma Separated Values (CSV) http://docs.opengeospatial.org/is/14-084r2/14-084r2.html[[OGC 14-084r2]] standards +by using JSON objects that is easily readable by machines and by humans. +The JSON encoding formats for sharing moving feature data specified in this document leverages *GeoJSON* https://www.ietf.org/rfc/rfc7946.txt[[IETF RFC 7946]] +that has already been commonly used in many applications and well supported by tools and software libraries. +This standard defines two JSON encoding forms: *MF-JSON Trajectory* and *MF-JSON Prism*. +If an application focuses on only the linear movement (i.e., the spatiotemporal line string) of moving points +based on World Geodetic System 1984, with longitude and latitude units of decimal degrees, +the application can share the trajectory data by using *only* GeoJSON, called *MF-JSON Trajectory*. +For other cases, *MF-JSON Prism* can be used for expressing more complex movements of moving features. +*MF-JSON Prism* is an extension of GeoJSON formats reserving new members of JSON objects (`"temporalGeometry", "temporalProperties", "crs", "trs", "time"`, and etc.) as "foreign members" +to represent spatiotemporal geometries, variations of measure, coordinate reference systems, and the time interval of moving features in the GeoJSON document. +<> presents the overview of two forms of Moving Features JSON encodings. + +[#mf-encodings,reftext='{figure-caption} {counter:figure-num}'] +.JSON encodings for moving feature data +image::mf-encodings.png[mf-encodings, pdfwidth=65%, width=65%, align="center"] + +[NOTE] +.Coordinate Reference System (CRS) +The IETF GeoJSON format recommends a single coordinate reference system based on World Geodetic System 1984, with longitude and latitude units of decimal degrees. +However, a moving feature needs a temporal coordinate system and may require an engineering coordinate reference system or parametric coordinate reference system +to represent the movement of the geometry of the feature in the case of an application request. Therefore, MF-JSON includes the "crs" field as described in GeoJSON(2008)[[GEOJSON]]. + +TIP: The existing GeoJSON implementation can ignore the new members of "temporalGeometry", "temporalProperties", "trs", and "time" in an MF-JSON document +if there is no processing module for foreign members. Accordingly, MF-JSON is compatible with the GeoJSON encoding. + +<> illustrates an example of the movement of a hurricane with a time-varying 2-dimensional geometry as a moving feature. Suppose the pressure centroid of the hurricane reported four locations +at latexmath:[t_1, t_2, t_3], and latexmath:[t_4]. Its trajectory may be drawn depending on the interpolation method between two consecutive locations, such as latexmath:[A] (linear) or latexmath:[B] (Quadratic). +https://www.iso.org/standard/41445.html[ISO 19141:2008] defines a conceptual schema of a moving feature based on geometry types as shown in <>. +The ISO conceptual schema represents the motion consisting of translation and/or rotation of a moving feature, but not including deformation of the geometry, over time. + +[#mf-hurricane,reftext='{figure-caption} {counter:figure-num}'] +.Example of a moving feature: a hurricane and its properties +image::mf-hurricane.png[mf-hurricane, pdfwidth=70%, width=70%, align="center"] + +[#mf-iso,reftext='{figure-caption} {counter:figure-num}'] +.Components of the moving feature packages in ISO 19141:2008 +image::mf-iso.png[Components, pdfwidth=95%, width=95%, align="center"] + +The data model defined in https://www.iso.org/standard/41445.html[ISO 19141:2008] is based on two geometric types: *MF_OneParamGeometry* and *MF_Trajectory*. +*MF_OneParamGeometry* is the type to describe a function latexmath:[f] from an interval latexmath:[t \in [a, b]] such that latexmath:[f(t)] is a geometry. +A leaf of a one parameter set of geometries is the geometry latexmath:[f(t)] at a particular value latexmath:[t] of the parameter. +*MF_Trajectory* describes a one-parameter geometry whose cross section is a point as a leaf. +*MF_OneParamGeometry* and *MF_Trajectory* is specialized as *MF_TemporalGeometry* and *MF_TemporalTrajectory* respectively, when the parameter is time representing a multiple of a single unit of measure +such as year, day, or second for those types. *MF_TemporalTrajectory* is also a sub-type of *MF_TemporalGeometry*. +The OGC Moving Features XML and CSV standard provide the encoding formats to represent linear trajectories of moving points, typically representing vehicles or pedestrians. +<> shows an example for linear trajectories of two moving points A and B. +Each trajectory has the start time and the end time. Both points start to move at t=10sec and end at t=19sec. While the movement of B does not change, the movement of A is changed at t=15sec. +<> and <> shows how to encode the trajectories shown in <> by using two OGC Moving Features encoding standards. +However, XML and CSV encoding standards have limitation on the representation of prism geometries such as *MF_PrismGeometry* and *MF_RigidTemporalGeometry*. +They describe the implementation of only a type of *MF_TemporalTrajectory* with linear interpolation of movement. +This MF-JSON standard specifies how to encode the same information by using GeoJSON; Additionally, it defines new JSON members to support applications that need more power expression of +the movement of a feature whose geometry may be 0D, 1D, 2D, 3D geometric primitives, or their aggregations and continuously changes over time with various temporal interpolation methods. + +[#mf-ogc,reftext='{figure-caption} {counter:figure-num}'] +.Example for two linear trajectories +image::mf-ogc.png[Components, pdfwidth=70%, width=70%, align="center"] + +[#mf-xml, reftext='{example-caption} {counter:example-num}'] +.Example {counter:example-num}: OGC Moving Features XML Core encoding of linear trajectories. +[source, xml] + + + + + 50.23 9.23 + 50.31 9.27 + 2012-01-17T12:33:41Z + 2012-01-17T12:37:00Z + + + ...... + + + 11.0 2.0 12.0 3.0 + walking,1 + + + 10.0 2.0 11.0 3.0 + walking,2 + + + 12.0 3.0 10.0 3.0 + walking,2 + + + + + +[#mf-csv, reftext='{example-caption} {counter:example-num}'] +[source, csv] +.Example {counter:example-num}: OGC Moving Features CSV encoding of linear trajectories. +@stboundedby,urn:x-ogc:def:crs:EPSG:6.6:4326,2D,50.23 9.23,50.31 9.27,2012-01-17T12:33:41Z,2012-01-17T12:37:00Z,sec +@columns,mfidref,trajectory,state,xsd:token,”type code”,xsd:integer +A,10,15,11.0 2.0 12.0 3.0,walking,1 +B,10,19,10.0 2.0 11.0 3.0,walking,2 +A,15,19,12.0 3.0 10.0 3.0,walking,2 diff --git a/standard/clause_7_1_trajectory.adoc b/standard/clause_7_1_trajectory.adoc index 3008691..0a25d3b 100644 --- a/standard/clause_7_1_trajectory.adoc +++ b/standard/clause_7_1_trajectory.adoc @@ -1,100 +1,100 @@ -=== MF-JSON Trajectory Encoding - -MF-JSON Trajectory specifies how to map/interpret linear trajectories of moving points into/from the *GeoJSON* https://www.ietf.org/rfc/rfc7946.txt[[IETF RFC 7946]] object. -It is based on the data model of _mf:MovingFeatures_ defined in http://docs.opengeospatial.org/is/14-083r2/14-083r2.html[OGC Moving Features XML Core]. - -[NOTE] -The _mf:MovingFeatures_ Class is implemented by _mf:Foliation_ including movements of moving points, which are instances of _mf:LinearTrajectory_. -In XML Core, the _mf:LinearTrajectory_ Class is expressed by a single spatiotemporal segment with linear interpolation, having two elements of _gml:PosList_ and _mf:Attr_, -as well as three attributes of _mfIdRef_, _start_, and _end_. The _mfIdRef_ attribute is the text specifying the moving feature (i.e. person ID, vehicle ID, etc.). -The _start_ and _end_ attribute of _mf:LinearTrajectory_ describes the temporal offset from the _gml:beginPosition_ element in the _mf:sTBoundedBy_ Class. -Two or more coordinate tuples are specified in _gml:posList_ and linearly interpolated from time _start_ to _end_. -The _mf:Attr_ element contains the attribute information as a text. The values of the attributes are constant while the feature moves along the _mf:LinearTrajectory_. -The detailed description refers to http://docs.opengeospatial.org/is/14-083r2/14-083r2.html[OGC Moving Features XML Core]. - -Comparing to the segment-based encodings of http://docs.opengeospatial.org/is/14-083r2/14-083r2.html[OGC XML Core] and http://docs.opengeospatial.org/is/14-084r2/14-084r2.html[CSV], -MF-JSON Trajectory encodes a spatiotemporal linestring or a collection of linestrings to reduce the size of a GeoJSON document. -The spatiotemporal linestring is a one-dimensional object representing a sequence of spatiotemporal points and the trajectory segments connecting them. -The GeoJSON encoding rules of MF-JSON Trajectory are set as follows: - -* An MF-JSON Trajectory document presents an instance of the _mf:LinearTrajectory_ Class or a set of those instances as a GeoJSON FeatureCollection object. -An _mf:LinearTrajectory_ instance is mapped into a GeoJSON Feature object with a linestring geometry; -i.e., the value of member `"type"` in the Geometry object is "LineString". -[NOTE] -(GeoJSON) A Feature object represents a spatially bounded thing. A Feature object has, at least 3 members: -a "type" member with the value "Feature", a "geometry" member, and a "properties" member. -Geometry only has 2 members: "type" and "coordinates". The "type" value of geometry can -be one of "Point", "MultiPoint", "LineString", "MultiLineString", "Polygon", "MultiPolygon", and "GeometryCollection". -The GeoJSON extensibility is limited by the interpretation of the sentence in the IETF RFC 7946 -"Implementations MUST NOT extend the fixed set of GeoJSON types: FeatureCollection, Feature, Point, LineString, MultiPoint, Polygon, -MultiLineString, MultiPolygon, and GeometryCollection." - -* The identifier of a moving feature (i.e., _mfIdRef_) is mapped into the member named `"id"` of the GeoJSON Feature object. -[NOTE] -(GeoJSON) If a Feature has a commonly used identifier, that identifier is included as a member of the Feature object with the name "id", -and the value of this member is either a JSON string or number. - -* The value of the `"coordinates"` member of a linestring geometry object has two or more positions that draws a sequence of trajectory segments. -Each position is each projection in spatial domain. All trajectory segments that have the same identifier are merged into a linestring geometry object -as long as any consecutive segments meet each other at a time instant. -[NOTE] -(GeoJSON) A position is an array of numbers. There MUST be two or more elements. The first two elements are longitude and latitude, or easting and northing, -precisely in that order and using decimal numbers. Altitude or elevation MAY be included as an optional third element. -The coordinate reference system for all GeoJSON coordinates is a geographic coordinate reference system, using the World Geodetic System 1984 (WGS 84) -<> datum, with longitude and latitude units of decimal degrees. - -* The `"properties"` member of a GeoJSON Feature object has a member with the name `"datetimes"`. The value of the `"datetimes"` member is an array of a sequence of -monotonic increasing time instants, having the same number of positions of the "coordinates" member. The value of a time instant is a JSON string using Z (e.g., 1985-04-12T23:20:50.52Z) -encoded by https://www.ietf.org/rfc/rfc3339.txt[IETF RFC 3339], an Internet profile of the https://www.iso.org/iso-8601-date-and-time-format.html[ISO 8601] standard -for representation of dates and times using the Gregorian calendar, or a numeric value of milliseconds since midnight (00:00 a.m.) on January 1, 1970 in UTC (e.g., 1465621816590). -[NOTE] -(GeoJSON) A Feature object has a member with the name "properties". The value of the properties member is an object (any JSON object or a JSON null value). - -* If a Feature has any variable attribute by time and its value (i.e., _mf:AttrDef_ and _mf:Attr_), -the attribute can be a member inside the `"properties"` member with the value of a JSON arrray, -having one less than the number of positions of the `"coordinates"` member. - -* A set of _mf:LinearTrajectory_ instances is packed in the elements of the `"features"` member of a FeatureCollection object. -[NOTE] -(GeoJSON) A FeatureCollection object has a member with the name "features". The value of "features" is a JSON array of Feature objects. -It is possible for this array to be empty. - - -<> illustrates an example of the MF-JSON Trajectory encoding corresponding to two moving points, as shown in <> to be replaceable with <> and <>. - -[#mf-geojson, reftext='{example-caption} {counter:example-num}'] -.Example {counter:example-num}: Example of the MF-JSON Trajectory encoding -[source, javascript] -{ - "type": "FeatureCollection", - "features": [ - { - "type": "Feature", - "id": "A", - "geometry": { - "type": "LineString", - "coordinates": [[11.0,2.0], [12.0,3.0], [10.0,3.0]] - }, - "properties": { - "datetimes": ["2012-01-17T12:33:51Z", "2012-01-17T12:33:56Z", "2012-01-17T12:34:00Z"], - "state": ["walking","walking"], - "typecode": [1, 2] - } - }, - { - "type": "Feature", - "id": "B", - "geometry": { - "type": "LineString", - "coordinates": [[10.0,2.0], [11.0,3.0]] - }, - "properties": { - "datetimes": ["2012-01-17T12:33:51Z", "2012-01-17T12:34:00Z"], - "state": ["walking"], - "typecode": [2] - } - } - ] -} - -include::requirements/requirements_trajectory.adoc[] +=== MF-JSON Trajectory Encoding + +MF-JSON Trajectory specifies how to map/interpret linear trajectories of moving points into/from the *GeoJSON* https://www.ietf.org/rfc/rfc7946.txt[[IETF RFC 7946]] object. +It is based on the data model of _mf:MovingFeatures_ defined in http://docs.opengeospatial.org/is/14-083r2/14-083r2.html[OGC Moving Features XML Core]. + +[NOTE] +The _mf:MovingFeatures_ Class is implemented by _mf:Foliation_ including movements of moving points, which are instances of _mf:LinearTrajectory_. +In XML Core, the _mf:LinearTrajectory_ Class is expressed by a single spatiotemporal segment with linear interpolation, having two elements of _gml:PosList_ and _mf:Attr_, +as well as three attributes of _mfIdRef_, _start_, and _end_. The _mfIdRef_ attribute is the text specifying the moving feature (i.e. person ID, vehicle ID, etc.). +The _start_ and _end_ attribute of _mf:LinearTrajectory_ describes the temporal offset from the _gml:beginPosition_ element in the _mf:sTBoundedBy_ Class. +Two or more coordinate tuples are specified in _gml:posList_ and linearly interpolated from time _start_ to _end_. +The _mf:Attr_ element contains the attribute information as a text. The values of the attributes are constant while the feature moves along the _mf:LinearTrajectory_. +The detailed description refers to http://docs.opengeospatial.org/is/14-083r2/14-083r2.html[OGC Moving Features XML Core]. + +Comparing to the segment-based encodings of http://docs.opengeospatial.org/is/14-083r2/14-083r2.html[OGC XML Core] and http://docs.opengeospatial.org/is/14-084r2/14-084r2.html[CSV], +MF-JSON Trajectory encodes a spatiotemporal linestring or a collection of linestrings to reduce the size of a GeoJSON document. +The spatiotemporal linestring is a one-dimensional object representing a sequence of spatiotemporal points and the trajectory segments connecting them. +The GeoJSON encoding rules of MF-JSON Trajectory are set as follows: + +* An MF-JSON Trajectory document presents an instance of the _mf:LinearTrajectory_ Class or a set of those instances as a GeoJSON FeatureCollection object. +An _mf:LinearTrajectory_ instance is mapped into a GeoJSON Feature object with a linestring geometry; +i.e., the value of member `"type"` in the Geometry object is "LineString". +[NOTE] +(GeoJSON) A Feature object represents a spatially bounded thing. A Feature object has, at least 3 members: +a "type" member with the value "Feature", a "geometry" member, and a "properties" member. +Geometry only has 2 members: "type" and "coordinates". The "type" value of geometry can +be one of "Point", "MultiPoint", "LineString", "MultiLineString", "Polygon", "MultiPolygon", and "GeometryCollection". +The GeoJSON extensibility is limited by the interpretation of the sentence in the IETF RFC 7946 +"Implementations MUST NOT extend the fixed set of GeoJSON types: FeatureCollection, Feature, Point, LineString, MultiPoint, Polygon, +MultiLineString, MultiPolygon, and GeometryCollection." + +* The identifier of a moving feature (i.e., _mfIdRef_) is mapped into the member named `"id"` of the GeoJSON Feature object. +[NOTE] +(GeoJSON) If a Feature has a commonly used identifier, that identifier is included as a member of the Feature object with the name "id", +and the value of this member is either a JSON string or number. + +* The value of the `"coordinates"` member of a linestring geometry object has two or more positions that draws a sequence of trajectory segments. +Each position is each projection in spatial domain. All trajectory segments that have the same identifier are merged into a linestring geometry object +as long as any consecutive segments meet each other at a time instant. +[NOTE] +(GeoJSON) A position is an array of numbers. There MUST be two or more elements. The first two elements are longitude and latitude, or easting and northing, +precisely in that order and using decimal numbers. Altitude or elevation MAY be included as an optional third element. +The coordinate reference system for all GeoJSON coordinates is a geographic coordinate reference system, using the World Geodetic System 1984 (WGS 84) +<> datum, with longitude and latitude units of decimal degrees. + +* The `"properties"` member of a GeoJSON Feature object has a member with the name `"datetimes"`. The value of the `"datetimes"` member is an array of a sequence of +monotonic increasing time instants, having the same number of positions of the "coordinates" member. The value of a time instant is a JSON string using Z (e.g., 1985-04-12T23:20:50.52Z) +encoded by https://www.ietf.org/rfc/rfc3339.txt[IETF RFC 3339], an Internet profile of the https://www.iso.org/iso-8601-date-and-time-format.html[ISO 8601] standard +for representation of dates and times using the Gregorian calendar, or a numeric value of milliseconds since midnight (00:00 a.m.) on January 1, 1970 in UTC (e.g., 1465621816590). +[NOTE] +(GeoJSON) A Feature object has a member with the name "properties". The value of the properties member is an object (any JSON object or a JSON null value). + +* If a Feature has any variable attribute by time and its value (i.e., _mf:AttrDef_ and _mf:Attr_), +the attribute can be a member inside the `"properties"` member with the value of a JSON arrray, +having one less than the number of positions of the `"coordinates"` member. + +* A set of _mf:LinearTrajectory_ instances is packed in the elements of the `"features"` member of a FeatureCollection object. +[NOTE] +(GeoJSON) A FeatureCollection object has a member with the name "features". The value of "features" is a JSON array of Feature objects. +It is possible for this array to be empty. + + +<> illustrates an example of the MF-JSON Trajectory encoding corresponding to two moving points, as shown in <> to be replaceable with <> and <>. + +[#mf-geojson, reftext='{example-caption} {counter:example-num}'] +.Example {counter:example-num}: Example of the MF-JSON Trajectory encoding +[source, javascript] +{ + "type": "FeatureCollection", + "features": [ + { + "type": "Feature", + "id": "A", + "geometry": { + "type": "LineString", + "coordinates": [[11.0,2.0], [12.0,3.0], [10.0,3.0]] + }, + "properties": { + "datetimes": ["2012-01-17T12:33:51Z", "2012-01-17T12:33:56Z", "2012-01-17T12:34:00Z"], + "state": ["walking","walking"], + "typecode": [1, 2] + } + }, + { + "type": "Feature", + "id": "B", + "geometry": { + "type": "LineString", + "coordinates": [[10.0,2.0], [11.0,3.0]] + }, + "properties": { + "datetimes": ["2012-01-17T12:33:51Z", "2012-01-17T12:34:00Z"], + "state": ["walking"], + "typecode": [2] + } + } + ] +} + +include::requirements/requirements_trajectory.adoc[] diff --git a/standard/clause_7_2_crs.adoc b/standard/clause_7_2_crs.adoc index 16f55a2..2b57ddc 100644 --- a/standard/clause_7_2_crs.adoc +++ b/standard/clause_7_2_crs.adoc @@ -1,100 +1,100 @@ -[#crs, reftext='7.2.3'] -==== CoordinateReferenceSystem Object -A coordinate reference system (CRS) is usually comprised of two components: one coordinate system and one datum (reference frame). -The IETF GeoJSON format recommends that the CRS for all GeoJSON coordinates is a geographic coordinate reference system, -using the World Geodetic System 1984 (WGS 84)<> datum, with longitude and latitude units of decimal degrees. -This is equivalent to the CRS identified by the http://spatialreference.org/ref/epsg/wgs-84[EPSG:4326] with the axis Lat-Long. -For a 3D coordinate with an altitude/elevation value, the value refers to distance above mean sea level (MSL or AMSL). -However, a moving feature needs a temporal coordinate system and may be described by an engineering or parametric coordinates -in a certain application, such as robot or vessel navigation. -Therefore, MF-JSON Prism allows the `"crs"` member to describe an alternative CRS whose representation follows the way as described in GeoJSON(2008)<>. -Also it defines the `"trs"` member to describe a temporal CRS against which time is measured. A temporal CRS is always 1D with a temporal datum (origin) and its time unit. - -* A non-null CoordinateReferenceSystem (CRS) object is a JSON object -with two mandatory members of the name `"type"` and `"properties"`. -* The value of the `"type"` member is a JSON string as one of the string `"name"` and `"link"`, indicating the type of CRS object. -* The value of the `"properties"` member is a JSON object with three optional members -named `"name"`, `"href"`, and `"type"` whose value is a JSON string or JSON `null` value. -* CRS shall not change coordinate ordering. - -Depending on the value of `"type"`, there are three expressions: Named CRS, Linked CRS, and Default CRS. - -===== 7.2.3.1. Named CRS -A Named CRS object indicates a coordinate reference system by name. -In this case, the value of its `"type"` member is the string `"name"`. -The value of its `"properties"` member is a JSON object containing a "name" member -whose value is a string identifying a coordinate reference system (not JSON `null` value). -The value of `"href"` and `"type"` is a JSON `null` value. - -[#namedcrs, reftext='{example-caption} {counter:example-num}'] -.Example {counter:example-num}: Example of a named CRS object -[source, javascript] -{ - "type": "name", - "properties": { - "name": "urn:ogc:def:crs:OGC:1.3:CRS84" - } -} - -===== 7.2.3.2. Linked CRS -A linked CRS object has one required member: `"href"` and one optional member: `"type"`. -The value of the required `"href"` member is a dereferenceable URI. -The value of the optional `"type"` member is a string that hints at the format -used to represent CRS parameters at the provided URI. -Suggested values are: "proj4", "ogcwkt", "esriwkt", but others can be used. - -[#linkedcrs, reftext='{example-caption} {counter:example-num}'] -.Example {counter:example-num}: Example of a linked CRS object -[source, javascript] -{ - "type": "link", - "properties": { - "href": "http://example.com/crs/42", - "type": "proj4" - } -} - -[#auxiliarycrs, reftext='{example-caption} {counter:example-num}'] -.Example {counter:example-num}: Example of a relative linked CRS object with an auxiliary file -[source, javascript] -{ - "type": "link", - "properties": { - "href": "data.crs", - "type": "ogcwkt" - } -} - -===== 7.2.3.3. Default CRS - -MF-JSON Prism defines two default CRS objects for a spatial CRS and a temporal CRS as follows: - -* http://www.opengis.net/def/crs/OGC/1.3/CRS84[WGS84] with longitude and latitude units of decimal degrees: -This CRS object is the default value of the `"crs"` member. - -[source, javascript] ------ - "crs" : { - "type": "name", - "properties": { - "name": "urn:ogc:def:crs:OGC:1.3:CRS84" - } - } ------ - -* http://www.iso.org/iso/home/standards/iso8601.htm[ISO8601] of dates and times using the Gregorian calendar and 24 hour local or Coordinated Universal Time (UTC): -This CRS object is the default value of the `"trs"` member. - -[source, javascript] ------ - "trs" : { - "type": "name", - "properties": { - "name": "urn:ogc:data:time:iso8601" - } - } ------ - -A JSON `null` value of the `"crs"` and `"trs"` is considered as http://www.opengis.net/def/crs/OGC/1.3/CRS84[WGS84] and http://www.iso.org/iso/home/standards/iso8601.htm[ISO8601], respectively. - -include::requirements/requirement_crs.adoc[] +[#crs, reftext='7.2.3'] +==== CoordinateReferenceSystem Object +A coordinate reference system (CRS) is usually comprised of two components: one coordinate system and one datum (reference frame). +The IETF GeoJSON format recommends that the CRS for all GeoJSON coordinates is a geographic coordinate reference system, +using the World Geodetic System 1984 (WGS 84)<> datum, with longitude and latitude units of decimal degrees. +This is equivalent to the CRS identified by the http://spatialreference.org/ref/epsg/wgs-84[EPSG:4326] with the axis Lat-Long. +For a 3D coordinate with an altitude/elevation value, the value refers to distance above mean sea level (MSL or AMSL). +However, a moving feature needs a temporal coordinate system and may be described by an engineering or parametric coordinates +in a certain application, such as robot or vessel navigation. +Therefore, MF-JSON Prism allows the `"crs"` member to describe an alternative CRS whose representation follows the way as described in GeoJSON(2008)<>. +Also it defines the `"trs"` member to describe a temporal CRS against which time is measured. A temporal CRS is always 1D with a temporal datum (origin) and its time unit. + +* A non-null CoordinateReferenceSystem (CRS) object is a JSON object +with two mandatory members of the name `"type"` and `"properties"`. +* The value of the `"type"` member is a JSON string as one of the string `"name"` and `"link"`, indicating the type of CRS object. +* The value of the `"properties"` member is a JSON object with three optional members +named `"name"`, `"href"`, and `"type"` whose value is a JSON string or JSON `null` value. +* CRS shall not change coordinate ordering. + +Depending on the value of `"type"`, there are three expressions: Named CRS, Linked CRS, and Default CRS. + +===== 7.2.3.1. Named CRS +A Named CRS object indicates a coordinate reference system by name. +In this case, the value of its `"type"` member is the string `"name"`. +The value of its `"properties"` member is a JSON object containing a "name" member +whose value is a string identifying a coordinate reference system (not JSON `null` value). +The value of `"href"` and `"type"` is a JSON `null` value. + +[#namedcrs, reftext='{example-caption} {counter:example-num}'] +.Example {counter:example-num}: Example of a named CRS object +[source, javascript] +{ + "type": "name", + "properties": { + "name": "urn:ogc:def:crs:OGC:1.3:CRS84" + } +} + +===== 7.2.3.2. Linked CRS +A linked CRS object has one required member: `"href"` and one optional member: `"type"`. +The value of the required `"href"` member is a dereferenceable URI. +The value of the optional `"type"` member is a string that hints at the format +used to represent CRS parameters at the provided URI. +Suggested values are: "proj4", "ogcwkt", "esriwkt", but others can be used. + +[#linkedcrs, reftext='{example-caption} {counter:example-num}'] +.Example {counter:example-num}: Example of a linked CRS object +[source, javascript] +{ + "type": "link", + "properties": { + "href": "http://example.com/crs/42", + "type": "proj4" + } +} + +[#auxiliarycrs, reftext='{example-caption} {counter:example-num}'] +.Example {counter:example-num}: Example of a relative linked CRS object with an auxiliary file +[source, javascript] +{ + "type": "link", + "properties": { + "href": "data.crs", + "type": "ogcwkt" + } +} + +===== 7.2.3.3. Default CRS + +MF-JSON Prism defines two default CRS objects for a spatial CRS and a temporal CRS as follows: + +* http://www.opengis.net/def/crs/OGC/1.3/CRS84[WGS84] with longitude and latitude units of decimal degrees: +This CRS object is the default value of the `"crs"` member. + +[source, javascript] +----- + "crs" : { + "type": "name", + "properties": { + "name": "urn:ogc:def:crs:OGC:1.3:CRS84" + } + } +----- + +* http://www.iso.org/iso/home/standards/iso8601.htm[ISO8601] of dates and times using the Gregorian calendar and 24 hour local or Coordinated Universal Time (UTC): +This CRS object is the default value of the `"trs"` member. + +[source, javascript] +----- + "trs" : { + "type": "name", + "properties": { + "name": "urn:ogc:data:time:iso8601" + } + } +----- + +A JSON `null` value of the `"crs"` and `"trs"` is considered as http://www.opengis.net/def/crs/OGC/1.3/CRS84[WGS84] and http://www.iso.org/iso/home/standards/iso8601.htm[ISO8601], respectively. + +include::requirements/requirement_crs.adoc[] diff --git a/standard/clause_7_2_interpolation.adoc b/standard/clause_7_2_interpolation.adoc index df7bc82..f7bdc29 100644 --- a/standard/clause_7_2_interpolation.adoc +++ b/standard/clause_7_2_interpolation.adoc @@ -1,348 +1,348 @@ -[#interpolation, reftext='7.2.10'] -==== MotionCurve Objects -In MF-JSON Prism, the concept of motion curves is important to represent various types of dynamic movements, -especially non-linear movements of features. - -===== 7.2.10.1. Predefined curves -In order to reduce the encoding cost and the data size, -the MF-JSON Prism encoding defines five strings of built-in motion curves for the value of the `"interpolation"` -member in a TemporalPrimitiveGeometry object: `"Discrete"`, `"Step"`, `"Linear"`, `"Quadratic"`, and `"Cube"`. -For these built-in motion curves, each leaf geometry of the TemporalPrimitiveGeometry object has the same structure for the elements -in the value array of the `"coordinates"` member and the same number of single positions in the elements, except `"MovingPointCloud"`. -For example, if a leaf linestring consists of two single positions in a temporal geometry of type `"MovingLineString"`, -the other leaves also have two single positions. If a leaf polygon in a temporal geometry of type `"MovingPolygon"` has -one interior ring, the others also have one interior ring and the number of positions of rings is same. - -[source, javascript] -.Example {counter:example-num}: Predefined motion curves of a TemporalPrimitiveGeometry object -{ - ...., - "datetimes": [...], //T={t_0, t_1, ..., t_n} - "coordinates": [...], //G={G_0, G_1, ..., G_n} - "interpolation": "Discrete|Step|Linear|Quadratic|Cube", // vbar | as a means to select ONE. - .... - } - -When a geographic feature is moving, each variable (i.e., latexmath:[x], latexmath:[y], latexmath:[z]) of position can be expressed -in terms of another variable called a parameter. The two most commonly used parameters are time and distance traveled along the path of motion. -This standard interprets a value of the `"interpolation"` member in a TemporalPrimitiveGeometry object -as parametric equations with the time parameter. -In general, parametric equations of 3D movement are represented by -any three such functions that depending on the same variable latexmath:[t] as -latexmath:[x = x(t)], latexmath:[y = y(t)], and latexmath:[z = z(t)]. -In orther words, the position latexmath:[P(t)] is described as - -[latexmath] -+++++++++++ -P(t) = (x(t), y(t), z(t)); -+++++++++++ -velocity latexmath:[v] is the derivative of position (first derivative of position) with respect to time as follows: - -[latexmath] -+++++++++++ -V(t) = P'(x'(t), y'(t), z'(t)); -+++++++++++ -and -acceleration latexmath:[a] is the derivative of velocity (second derivative of position) with respect to time as follows: - -[latexmath] -+++++++++++ -A(t) = V'(t) = P''(x''(t), y''(t), z''(t)). -+++++++++++ - -[NOTE] -========== -For example, when a geographic feature continuously moves over time but there are -only four explicit positions as shown in <>. -Depending on the parametric equation, the path of motion can be modeled with different curves in the plan. -The `"interpolation"` member allows applications to design their time-varying positions at any time using few positions and a parametric curve. -In particular, a parametric curve is associated with parametric continuity to describe the smoothness of of the parameter's value with distance along the curve. -The various order of parametric continuity can be described as follows: - - ** latexmath:[C^0]: Curves are continuous; zeroth-order parametric continuity. - ** latexmath:[C^1]: First derivatives are continuous; first-order parametric continuity. - ** latexmath:[C^2]: First and second derivatives are continuous; second-order parametric continuity. - ** latexmath:[C^n]: First through latexmath:[n]-th derivatives are continuous. -========== - -[#mf-interpolation,reftext='{figure-caption} {counter:figure-num}'] -.The dynamic motion of a geographic feature on parametrized curves -image::mf-interpolation.png[mf-interpolation, pdfwidth=65%, width=65%, align="center"] - -Given latexmath:[N=(n+1)] leaf geometries latexmath:[G=\{G_0, G_1, ..., G_n\}] at time instants in latexmath:[T=\{t_0, t_1, ..., t_n\}] -with the strictly increasing condition latexmath:[t_0 < t_1 < ...< t_n] and one-to-one correspondence, -a temporal geometry latexmath:[TG] can be drawn by a bundle of latexmath:[k] temporal trajectories (i.e., parametric curves with the time parameter) -latexmath:[\{C_0, C_1, ..., C_k\}], where latexmath:[k] is the number of single positions in any leaf geometry. A temporal trajectory latexmath:[C] is -drawn for each position in latexmath:[P=\{P_0, P_1, ..., P_n\}] at each time instant in latexmath:[T=\{t_0, t_1, ..., t_n\}] such that -latexmath:[P_i \in G_i] and latexmath:[0 \leq i \leq n], and its curve is realized by spline interpolation on subintervals. -Namely, a temporal trajectory is implemented by a set of piecewise low-degree polynomials latexmath:[\{ SC_{1}, SC_{2}, ..., SC_{n}\}] -whose derivatives satisfy some continuity constraints across sub-curve boundaries. - -Each type of built-in parametric curves interpolates a time-varying position -latexmath:[P(t)] for any time instant latexmath:[t] in the time interval latexmath:[I=[t_0, t_n]] -on the temporal trajectory as follows: -$$ -\[ - P(t) = C(t) = \begin{cases} - SC_{1}(t), & \quad t \in [t_0, t_1],\\ - SC_{2}(t), & \quad t \in [t_1, t_2],\\ - ...,\\ - SC_{n}(t), & \quad t \in [t_{n-1}, t_n]. - \end{cases} -\] -$$ -Note that latexmath:[C(t_0) = P_0, C(t_1) = P_1,..., C(t_{n})=P_n]. - - .. `"Discrete"` : The positions are NOT connected. The position is valid only at the time instant in latexmath:[T]. - $$ - \[ - P(t) = \begin{cases} - P_i & \quad \text{if } t = t_i \in T\\ - \emptyset & \quad \text{otherwise.} - \end{cases} - \] - $$ - .. `"Step"` : It just jumps from one position to the next halfway through for a subinterval. - The curve is not continuous but would be useful for representing an accident or event. - This interpolation requires at least two positions, i.e., latexmath:[N \geq 2]. - $$ - \[ - \forall t \in [t_{i-1}, t_{i}]: P(t) = \begin{cases} - P_{i-1} & \quad \text{if } \frac{t-t_{i-1}}{t_{i}-t_{i-1}} < \text{0.5}\\ - P_{i} & \quad \text{otherwise.} - \end{cases} - \] - $$ - .. `"Linear"` : This method is the *default* value of the `"interpolation"` member. It connects straight lines between positions - with zeroth-order parametric continuity (latexmath:[C^0]) on interval latexmath:[I]. The position with respect to time is constructed - from linear splines that are two–positions interpolating polynomials. Therefore, this interpolation also requires at least two positions, i.e., latexmath:[N \geq 2]. - $$ - \[ - \forall t \in [t_{i-1}, t_{i}]: P(t) = C(t) = SC_{i}(t) = \frac{t-t_{i}}{t_{i-1}-t_{i}}P_{i-1} + \frac{t-t_{i-1}}{t_{i}-t_{i-1}}P_{i}. - \] - $$ - .. `"Quadratic"`: This method interpolates the position at time latexmath:[t] by using a piecewise quadratic spline on each interval latexmath:[[t_{i−1}, t_i]] - with first-order parametric continuity (latexmath:[C^1]). - Between consecutive positions, piecewise quadratic splines are constructed from the following parametric equations - in terms of the time variable: - $$ - \[ - \forall t \in [t_{i-1}, t_{i}]: P(t) = C(t) = SC_i(t) = a_it^2 + b_it + c_i,\\ - SC_i(t_{i-1}) = P_{i-1}, \quad SC_i(t_{i}) = P_{i} = SC_{i+1}(t_i),\\ - P'(t_{i})=V(t_{i})=SC'_i(t_{i})=SC'_{i+1}(t_i), \quad a_0 = 0. - \] - $$ - It means the curve of a temporal trajectory is continuous and has continuous first derivative at the positions in latexmath:[P] except two end positons. - For this interpolation, at least three leaves at particular times are required, i.e., latexmath:[N \geq 3]. - .. `"Cube"`: This method interpolates the position at time latexmath:[t] by - using a Catmull–Rom (cubic) spline on each interval latexmath:[[t_{i}, t_{i+1}]] - with first-order parametric continuity (latexmath:[C^1]). - The Catmull-Rom splines is a method that approximate a set of positions - with a smooth polynomial function that is piecewise-defined. - This interpolation requires at least four positions, i.e., latexmath:[N \geq 4], i.e., - position latexmath:[P_{i-1}] and latexmath:[P_{i+2}] are needed - to calculate the spline between positions of latexmath:[P_i] and latexmath:[P_{i+1}]. - In order to promise the same interpolation way, this standard specifies a Catmull-Rom interpolation function by the following parametric equations in terms of the time variable: - $$ - \[ - \forall t \in [t_{i}, t_{i+1}]: P(t) = C(t) = SC_i(t) = SC_i(u) = - \begin{bmatrix} - u^3 & u^2 & u & 1 - \end{bmatrix} - M - \begin{bmatrix} - P_{i-1}\\ - P_i\\ - P_{i+1}\\ - P_{i+2} - \end{bmatrix}, - \] - $$ - where - $$ - \[ - u = \frac{t-t_i}{t_{i+1}-t_i},\\ - M = \frac{1}{2} - \begin{bmatrix} - -1 & 3 & -3 & 1\\ - 2 & -5 & 4 & -1\\ - -1 & 0 & 1 & 0\\ - 0 & 2 & 0 & 0\\ - \end{bmatrix}, - \] - $$ - and - $$ - \[ - P'(t_0)=P_1-P_0, \quad P'(t_n)=P_n-P_{n-1}. - \] - $$ - This matrix representation defines the cubic curve that represents the portion of the total curve between - two successive control positions: latexmath:[P_i] and latexmath:[P_{i+1}], specifying the tagent - latexmath:[\frac{P_{i+1}-P_{i-1}}{2}] and latexmath:[\frac{P_{i+2}-P_{i}}{2}] at each control position, respectively. - -///////////// - $$ - \[ - \forall t \in [t_{i}, t_{i+1}]: P(t) = - \begin{bmatrix} - t^3 & t^2 & t & 1 - \end{bmatrix} - M - \begin{bmatrix} - P_{i-1}\\ - P_i\\ - P_{i+1}\\ - P_{i+2} - \end{bmatrix}, i=1, 2, ..., n-2, - \] - $$ -where - $$ - \[ - M = \frac{1}{2} - \begin{bmatrix} - -1 & 3 & -3 & 1\\ - 2 & -5 & 4 & -1\\ - -1 & 0 & 1 & 0\\ - 0 & 2 & 0 & 0\\ - \end{bmatrix}. - \] - $$ - This matrix representation defines the cubic curve that represents the portion of the total curve between -two successive control positions: latexmath:[P_i] and latexmath:[P_{i+1}] - 1 by using the two control points latexmath:[\frac{P_{i+1}-P_{i-1}}{2}] and latexmath:[\frac{P_{i+2}-P_{i}}{2}] specifying the tagent to the curve. - It can be applied to all segments of the curve except for the first and last segment. - If two auxiliary positions latexmath:[P_{-1}] and latexmath:[P_{n+1}] are added, the function interpolates all the given - poition latexmath:[P]. In order to promise the same interpolation way, this standard takes two auxiliary positions as follows: - $$ - \[ - P_{-1} = 2P_0 - P_1, P_{n+1} = 2P_n - P_{n-1}. - \] - $$ -///////////// - -////////// - -$$ - \[ - P(t) = C(t) = \frac{t_2-t}{t_2-t_1}B_1 + \frac{t-t_1}{t_2-t_1}B_2, - \] -$$ -where -$$ - \[ - B_1 = C(t) = \frac{t_2-t}{t_2-t_1B_1 + \frac{t-t_1{t_2-t_1}B_2,\\ - B_2 = C(t) = \frac{t_2-t}{t_2-t_1B_1 + \frac{t-t_1{t_2-t_1}B_2,\\ - \] -$$ -The interpolation function interpolate the given positions expect latexmath:[P_{0}] and latexmath:[P_{n}], -$$ - \[ - \big\{ - \] -$$ -////////// - -///////////////// -[width="99%", cols="1,3,1,3", options="header"] -|========= -| Names | Curves | Names | Curves -| Step | image:mf-step.png[Step, pdfwidth=100%, width=100%] |Linear |image:mf-linear.png[Linear, pdfwidth=100%, width=100%] -| Quadratic | image:mf-quadratic.png[Quadratic, pdfwidth=100%, width=100%] | Cube | image:mf-cube.png[CatmullRom, pdfwidth=100%, width=100%] -|========= -///////////////// - - -===== 7.2.10.2 URLs for user-defined parametric curve -If applications need to define their own interpolation methods, the `"interpolation"` member -in the TemporalPrimitiveGeometry object has a URL to -address a JSON array of parametric equations defined on a set of intervals of parameter latexmath:[t]-value. - -[source, javascript] -.Example {counter:example-num}: A TemporalPrimitiveGeometry instance of with a user-defined parametric curve -"temporalGeometry": { - "type": "MovingPoint", - "datetimes": [...], //T={t_0, t_1, ..., t_n} - "coordinates": [...], //G={G_0, G_1, ..., G_n} - "interpolation": "http://www.opengis.net/spec/movingfeatures/json/1.0/prism/example/motioncurve", - .... -} - -The URL indicates a JSON object having three members of `"crs"`, `"trs"`, and `"equations"` as follows. -[source, javascript] -.Example {counter:example-num}: The mebers of a user-defined parametric curve -{ - "crs": {...}, - "trs": {...}, - "equations": [...] -} - -* The value of the `"crs"` member is a spatial CRS object to indicate the order of axes and the position expression. -* The value of the `"trs"` member is a temporal CRS object to indicate how to use the time instant in the equations to interpolate a new position at a certain time. -* The value of the `"equations"` is a JSON array composing of a JSON object which has two members of `"coefficients"` and `"time"` -to represent a parametric equation within a temporal interval. -The position latexmath:[P(t)] at time position latexmath:[t] is derived -from a `"coefficients"` value as a multidimensional array of *polynomials* of latexmath:[(A_1(t), A_2(t), A_3(t), ..., A_k(t))] -coordinates during a particular time interval. - -[latexmath] -+++++++++++ -[A_0(t) = a_{0,n-1}t^{n-1} + a_{0,n-2}t^{n-2} + ... + a_{0,0}t^0] -+++++++++++ -[latexmath] -+++++++++++ -[A_1(t) = a_{1,n-1}t^{n-1} + a_{1,n-2}t^{n-2} + ... + a_{1,0}t^0] -+++++++++++ -[latexmath] -+++++++++++ -\cdots -+++++++++++ -[latexmath] -+++++++++++ -[A_k(t) = a_{k,n-1}t^{n-1} + a_{k,n-2}t^{n-2} + ... + a_{k,0}t^0] -+++++++++++ - -If a time position does not belong to any time interval of the elements of equations, there is no interpolation equations at that time. -The order of arrays for the interpolation formula of a temporal position SHALL be follwed by the order of axes of the CRS. -For example, when the CRS is the default spatial CRS (i.e., WGS84), the order of axes is sequencially latexmath:[x] (longitude), latexmath:[y] (latitude), and latexmath:[z] (altitude). -The time intervals between any two elements of equations only allows empty or 0-dimensional intersection. -The unit of measure of the temporal CRS is applied for computing parametric equations. -For example, a time position encoded by IETF RFC 3339 is converted into a signed 64-bit integer(long) value that represents milliseconds, -when it refers to the default temporal CRS (i.e., ISO8601). - -[source, javascript] -.Example {counter:example-num}: http://www.opengis.net/spec/movingfeatures/json/1.0/prism/example/motioncurve -{ - "crs" : { - "type": "name", - "properties": { - "name": "urn:ogc:def:crs:OGC:1.3:CRS84" - } - }, - "trs" : { - "type": "name", - "properties": { - "name": "urn:ogc:data:time:iso8601" - } - } - "equations" :[ - { - "coefficients": [[1.0, 3.0, 4.1], [2.0, 2.1, 3.0]], - // x = 1.0*t^2 + 3.0*t + 4.1 , y = 2.0*t^2 + 2.1*t + 3.0 - "time": ["2011-07-14T22:01:01Z", "2011-07-14T23:01:01Z"] - }, - { - "coefficients": [[4.0, 2.0], [1.0, 2.0]], - // x = 4.0*t + 2.0 , y = 1.0*t + 2.0 - "time": ["2011-07-14T23:01:01Z", "2011-07-15T00:01:01Z"] - }, - { - "coefficients": [["sin", "0.0"], ["cos", "0.0"]], - // x = sin*t , y = cos*t - "time": ["2011-07-15T00:01:01Z", "2011-07-16T00:01:01Z"] - } - ] -} - -include::requirements/requirement_interpolation.adoc[] +[#interpolation, reftext='7.2.10'] +==== MotionCurve Objects +In MF-JSON Prism, the concept of motion curves is important to represent various types of dynamic movements, +especially non-linear movements of features. + +===== 7.2.10.1. Predefined curves +In order to reduce the encoding cost and the data size, +the MF-JSON Prism encoding defines five strings of built-in motion curves for the value of the `"interpolation"` +member in a TemporalPrimitiveGeometry object: `"Discrete"`, `"Step"`, `"Linear"`, `"Quadratic"`, and `"Cube"`. +For these built-in motion curves, each leaf geometry of the TemporalPrimitiveGeometry object has the same structure for the elements +in the value array of the `"coordinates"` member and the same number of single positions in the elements, except `"MovingPointCloud"`. +For example, if a leaf linestring consists of two single positions in a temporal geometry of type `"MovingLineString"`, +the other leaves also have two single positions. If a leaf polygon in a temporal geometry of type `"MovingPolygon"` has +one interior ring, the others also have one interior ring and the number of positions of rings is same. + +[source, javascript] +.Example {counter:example-num}: Predefined motion curves of a TemporalPrimitiveGeometry object +{ + ...., + "datetimes": [...], //T={t_0, t_1, ..., t_n} + "coordinates": [...], //G={G_0, G_1, ..., G_n} + "interpolation": "Discrete|Step|Linear|Quadratic|Cube", // vbar | as a means to select ONE. + .... + } + +When a geographic feature is moving, each variable (i.e., latexmath:[x], latexmath:[y], latexmath:[z]) of position can be expressed +in terms of another variable called a parameter. The two most commonly used parameters are time and distance traveled along the path of motion. +This standard interprets a value of the `"interpolation"` member in a TemporalPrimitiveGeometry object +as parametric equations with the time parameter. +In general, parametric equations of 3D movement are represented by +any three such functions that depending on the same variable latexmath:[t] as +latexmath:[x = x(t)], latexmath:[y = y(t)], and latexmath:[z = z(t)]. +In orther words, the position latexmath:[P(t)] is described as + +[latexmath] ++++++++++++ +P(t) = (x(t), y(t), z(t)); ++++++++++++ +velocity latexmath:[v] is the derivative of position (first derivative of position) with respect to time as follows: + +[latexmath] ++++++++++++ +V(t) = P'(x'(t), y'(t), z'(t)); ++++++++++++ +and +acceleration latexmath:[a] is the derivative of velocity (second derivative of position) with respect to time as follows: + +[latexmath] ++++++++++++ +A(t) = V'(t) = P''(x''(t), y''(t), z''(t)). ++++++++++++ + +[NOTE] +========== +For example, when a geographic feature continuously moves over time but there are +only four explicit positions as shown in <>. +Depending on the parametric equation, the path of motion can be modeled with different curves in the plan. +The `"interpolation"` member allows applications to design their time-varying positions at any time using few positions and a parametric curve. +In particular, a parametric curve is associated with parametric continuity to describe the smoothness of of the parameter's value with distance along the curve. +The various order of parametric continuity can be described as follows: + + ** latexmath:[C^0]: Curves are continuous; zeroth-order parametric continuity. + ** latexmath:[C^1]: First derivatives are continuous; first-order parametric continuity. + ** latexmath:[C^2]: First and second derivatives are continuous; second-order parametric continuity. + ** latexmath:[C^n]: First through latexmath:[n]-th derivatives are continuous. +========== + +[#mf-interpolation,reftext='{figure-caption} {counter:figure-num}'] +.The dynamic motion of a geographic feature on parametrized curves +image::mf-interpolation.png[mf-interpolation, pdfwidth=65%, width=65%, align="center"] + +Given latexmath:[N=(n+1)] leaf geometries latexmath:[G=\{G_0, G_1, ..., G_n\}] at time instants in latexmath:[T=\{t_0, t_1, ..., t_n\}] +with the strictly increasing condition latexmath:[t_0 < t_1 < ...< t_n] and one-to-one correspondence, +a temporal geometry latexmath:[TG] can be drawn by a bundle of latexmath:[k] temporal trajectories (i.e., parametric curves with the time parameter) +latexmath:[\{C_0, C_1, ..., C_k\}], where latexmath:[k] is the number of single positions in any leaf geometry. A temporal trajectory latexmath:[C] is +drawn for each position in latexmath:[P=\{P_0, P_1, ..., P_n\}] at each time instant in latexmath:[T=\{t_0, t_1, ..., t_n\}] such that +latexmath:[P_i \in G_i] and latexmath:[0 \leq i \leq n], and its curve is realized by spline interpolation on subintervals. +Namely, a temporal trajectory is implemented by a set of piecewise low-degree polynomials latexmath:[\{ SC_{1}, SC_{2}, ..., SC_{n}\}] +whose derivatives satisfy some continuity constraints across sub-curve boundaries. + +Each type of built-in parametric curves interpolates a time-varying position +latexmath:[P(t)] for any time instant latexmath:[t] in the time interval latexmath:[I=[t_0, t_n]] +on the temporal trajectory as follows: +$$ +\[ + P(t) = C(t) = \begin{cases} + SC_{1}(t), & \quad t \in [t_0, t_1],\\ + SC_{2}(t), & \quad t \in [t_1, t_2],\\ + ...,\\ + SC_{n}(t), & \quad t \in [t_{n-1}, t_n]. + \end{cases} +\] +$$ +Note that latexmath:[C(t_0) = P_0, C(t_1) = P_1,..., C(t_{n})=P_n]. + + .. `"Discrete"` : The positions are NOT connected. The position is valid only at the time instant in latexmath:[T]. + $$ + \[ + P(t) = \begin{cases} + P_i & \quad \text{if } t = t_i \in T\\ + \emptyset & \quad \text{otherwise.} + \end{cases} + \] + $$ + .. `"Step"` : It just jumps from one position to the next halfway through for a subinterval. + The curve is not continuous but would be useful for representing an accident or event. + This interpolation requires at least two positions, i.e., latexmath:[N \geq 2]. + $$ + \[ + \forall t \in [t_{i-1}, t_{i}]: P(t) = \begin{cases} + P_{i-1} & \quad \text{if } \frac{t-t_{i-1}}{t_{i}-t_{i-1}} < \text{0.5}\\ + P_{i} & \quad \text{otherwise.} + \end{cases} + \] + $$ + .. `"Linear"` : This method is the *default* value of the `"interpolation"` member. It connects straight lines between positions + with zeroth-order parametric continuity (latexmath:[C^0]) on interval latexmath:[I]. The position with respect to time is constructed + from linear splines that are two–positions interpolating polynomials. Therefore, this interpolation also requires at least two positions, i.e., latexmath:[N \geq 2]. + $$ + \[ + \forall t \in [t_{i-1}, t_{i}]: P(t) = C(t) = SC_{i}(t) = \frac{t-t_{i}}{t_{i-1}-t_{i}}P_{i-1} + \frac{t-t_{i-1}}{t_{i}-t_{i-1}}P_{i}. + \] + $$ + .. `"Quadratic"`: This method interpolates the position at time latexmath:[t] by using a piecewise quadratic spline on each interval latexmath:[[t_{i−1}, t_i]] + with first-order parametric continuity (latexmath:[C^1]). + Between consecutive positions, piecewise quadratic splines are constructed from the following parametric equations + in terms of the time variable: + $$ + \[ + \forall t \in [t_{i-1}, t_{i}]: P(t) = C(t) = SC_i(t) = a_it^2 + b_it + c_i,\\ + SC_i(t_{i-1}) = P_{i-1}, \quad SC_i(t_{i}) = P_{i} = SC_{i+1}(t_i),\\ + P'(t_{i})=V(t_{i})=SC'_i(t_{i})=SC'_{i+1}(t_i), \quad a_0 = 0. + \] + $$ + It means the curve of a temporal trajectory is continuous and has continuous first derivative at the positions in latexmath:[P] except two end positons. + For this interpolation, at least three leaves at particular times are required, i.e., latexmath:[N \geq 3]. + .. `"Cube"`: This method interpolates the position at time latexmath:[t] by + using a Catmull–Rom (cubic) spline on each interval latexmath:[[t_{i}, t_{i+1}]] + with first-order parametric continuity (latexmath:[C^1]). + The Catmull-Rom splines is a method that approximate a set of positions + with a smooth polynomial function that is piecewise-defined. + This interpolation requires at least four positions, i.e., latexmath:[N \geq 4], i.e., + position latexmath:[P_{i-1}] and latexmath:[P_{i+2}] are needed + to calculate the spline between positions of latexmath:[P_i] and latexmath:[P_{i+1}]. + In order to promise the same interpolation way, this standard specifies a Catmull-Rom interpolation function by the following parametric equations in terms of the time variable: + $$ + \[ + \forall t \in [t_{i}, t_{i+1}]: P(t) = C(t) = SC_i(t) = SC_i(u) = + \begin{bmatrix} + u^3 & u^2 & u & 1 + \end{bmatrix} + M + \begin{bmatrix} + P_{i-1}\\ + P_i\\ + P_{i+1}\\ + P_{i+2} + \end{bmatrix}, + \] + $$ + where + $$ + \[ + u = \frac{t-t_i}{t_{i+1}-t_i},\\ + M = \frac{1}{2} + \begin{bmatrix} + -1 & 3 & -3 & 1\\ + 2 & -5 & 4 & -1\\ + -1 & 0 & 1 & 0\\ + 0 & 2 & 0 & 0\\ + \end{bmatrix}, + \] + $$ + and + $$ + \[ + P'(t_0)=P_1-P_0, \quad P'(t_n)=P_n-P_{n-1}. + \] + $$ + This matrix representation defines the cubic curve that represents the portion of the total curve between + two successive control positions: latexmath:[P_i] and latexmath:[P_{i+1}], specifying the tagent + latexmath:[\frac{P_{i+1}-P_{i-1}}{2}] and latexmath:[\frac{P_{i+2}-P_{i}}{2}] at each control position, respectively. + +///////////// + $$ + \[ + \forall t \in [t_{i}, t_{i+1}]: P(t) = + \begin{bmatrix} + t^3 & t^2 & t & 1 + \end{bmatrix} + M + \begin{bmatrix} + P_{i-1}\\ + P_i\\ + P_{i+1}\\ + P_{i+2} + \end{bmatrix}, i=1, 2, ..., n-2, + \] + $$ +where + $$ + \[ + M = \frac{1}{2} + \begin{bmatrix} + -1 & 3 & -3 & 1\\ + 2 & -5 & 4 & -1\\ + -1 & 0 & 1 & 0\\ + 0 & 2 & 0 & 0\\ + \end{bmatrix}. + \] + $$ + This matrix representation defines the cubic curve that represents the portion of the total curve between +two successive control positions: latexmath:[P_i] and latexmath:[P_{i+1}] + 1 by using the two control points latexmath:[\frac{P_{i+1}-P_{i-1}}{2}] and latexmath:[\frac{P_{i+2}-P_{i}}{2}] specifying the tagent to the curve. + It can be applied to all segments of the curve except for the first and last segment. + If two auxiliary positions latexmath:[P_{-1}] and latexmath:[P_{n+1}] are added, the function interpolates all the given + poition latexmath:[P]. In order to promise the same interpolation way, this standard takes two auxiliary positions as follows: + $$ + \[ + P_{-1} = 2P_0 - P_1, P_{n+1} = 2P_n - P_{n-1}. + \] + $$ +///////////// + +////////// + +$$ + \[ + P(t) = C(t) = \frac{t_2-t}{t_2-t_1}B_1 + \frac{t-t_1}{t_2-t_1}B_2, + \] +$$ +where +$$ + \[ + B_1 = C(t) = \frac{t_2-t}{t_2-t_1B_1 + \frac{t-t_1{t_2-t_1}B_2,\\ + B_2 = C(t) = \frac{t_2-t}{t_2-t_1B_1 + \frac{t-t_1{t_2-t_1}B_2,\\ + \] +$$ +The interpolation function interpolate the given positions expect latexmath:[P_{0}] and latexmath:[P_{n}], +$$ + \[ + \big\{ + \] +$$ +////////// + +///////////////// +[width="99%", cols="1,3,1,3", options="header"] +|========= +| Names | Curves | Names | Curves +| Step | image:mf-step.png[Step, pdfwidth=100%, width=100%] |Linear |image:mf-linear.png[Linear, pdfwidth=100%, width=100%] +| Quadratic | image:mf-quadratic.png[Quadratic, pdfwidth=100%, width=100%] | Cube | image:mf-cube.png[CatmullRom, pdfwidth=100%, width=100%] +|========= +///////////////// + + +===== 7.2.10.2 URLs for user-defined parametric curve +If applications need to define their own interpolation methods, the `"interpolation"` member +in the TemporalPrimitiveGeometry object has a URL to +address a JSON array of parametric equations defined on a set of intervals of parameter latexmath:[t]-value. + +[source, javascript] +.Example {counter:example-num}: A TemporalPrimitiveGeometry instance of with a user-defined parametric curve +"temporalGeometry": { + "type": "MovingPoint", + "datetimes": [...], //T={t_0, t_1, ..., t_n} + "coordinates": [...], //G={G_0, G_1, ..., G_n} + "interpolation": "http://www.opengis.net/spec/movingfeatures/json/1.0/prism/example/motioncurve", + .... +} + +The URL indicates a JSON object having three members of `"crs"`, `"trs"`, and `"equations"` as follows. +[source, javascript] +.Example {counter:example-num}: The mebers of a user-defined parametric curve +{ + "crs": {...}, + "trs": {...}, + "equations": [...] +} + +* The value of the `"crs"` member is a spatial CRS object to indicate the order of axes and the position expression. +* The value of the `"trs"` member is a temporal CRS object to indicate how to use the time instant in the equations to interpolate a new position at a certain time. +* The value of the `"equations"` is a JSON array composing of a JSON object which has two members of `"coefficients"` and `"time"` +to represent a parametric equation within a temporal interval. +The position latexmath:[P(t)] at time position latexmath:[t] is derived +from a `"coefficients"` value as a multidimensional array of *polynomials* of latexmath:[(A_1(t), A_2(t), A_3(t), ..., A_k(t))] +coordinates during a particular time interval. + +[latexmath] ++++++++++++ +[A_0(t) = a_{0,n-1}t^{n-1} + a_{0,n-2}t^{n-2} + ... + a_{0,0}t^0] ++++++++++++ +[latexmath] ++++++++++++ +[A_1(t) = a_{1,n-1}t^{n-1} + a_{1,n-2}t^{n-2} + ... + a_{1,0}t^0] ++++++++++++ +[latexmath] ++++++++++++ +\cdots ++++++++++++ +[latexmath] ++++++++++++ +[A_k(t) = a_{k,n-1}t^{n-1} + a_{k,n-2}t^{n-2} + ... + a_{k,0}t^0] ++++++++++++ + +If a time position does not belong to any time interval of the elements of equations, there is no interpolation equations at that time. +The order of arrays for the interpolation formula of a temporal position SHALL be follwed by the order of axes of the CRS. +For example, when the CRS is the default spatial CRS (i.e., WGS84), the order of axes is sequencially latexmath:[x] (longitude), latexmath:[y] (latitude), and latexmath:[z] (altitude). +The time intervals between any two elements of equations only allows empty or 0-dimensional intersection. +The unit of measure of the temporal CRS is applied for computing parametric equations. +For example, a time position encoded by IETF RFC 3339 is converted into a signed 64-bit integer(long) value that represents milliseconds, +when it refers to the default temporal CRS (i.e., ISO8601). + +[source, javascript] +.Example {counter:example-num}: http://www.opengis.net/spec/movingfeatures/json/1.0/prism/example/motioncurve +{ + "crs" : { + "type": "name", + "properties": { + "name": "urn:ogc:def:crs:OGC:1.3:CRS84" + } + }, + "trs" : { + "type": "name", + "properties": { + "name": "urn:ogc:data:time:iso8601" + } + } + "equations" :[ + { + "coefficients": [[1.0, 3.0, 4.1], [2.0, 2.1, 3.0]], + // x = 1.0*t^2 + 3.0*t + 4.1 , y = 2.0*t^2 + 2.1*t + 3.0 + "time": ["2011-07-14T22:01:01Z", "2011-07-14T23:01:01Z"] + }, + { + "coefficients": [[4.0, 2.0], [1.0, 2.0]], + // x = 4.0*t + 2.0 , y = 1.0*t + 2.0 + "time": ["2011-07-14T23:01:01Z", "2011-07-15T00:01:01Z"] + }, + { + "coefficients": [["sin", "0.0"], ["cos", "0.0"]], + // x = sin*t , y = cos*t + "time": ["2011-07-15T00:01:01Z", "2011-07-16T00:01:01Z"] + } + ] +} + +include::requirements/requirement_interpolation.adoc[] diff --git a/standard/clause_7_2_mfeature.adoc b/standard/clause_7_2_mfeature.adoc index 416f7db..ba963b3 100644 --- a/standard/clause_7_2_mfeature.adoc +++ b/standard/clause_7_2_mfeature.adoc @@ -1,62 +1,62 @@ -[#mfeature, reftext='7.2.4'] -==== MovingFeature Object -A MovingFeature object in a MF-JSON Prism document is a JSON object to represent -a moving feature that is spatially and temporally bounded, -and its position (continuously) changes over time with the members as shown in <>. - -[#mfeaturejson, reftext='{example-caption} {counter:example-num}'] -.Example {counter:example-num}: Members of a MovingFeature object -[source, javascript] -{ - "type": "Feature", //(MANDATORY) - "temporalGeometry": {...}, //(MANDATORY) - "temporalProperties": [...], //(OPTIONAL) - "crs" : {...}, //(DEFAULT) - "trs" : {...}, //(DEFAULT) - "time": [...], //(OPTIONAL) - "bbox": [...], //(OPTIONAL) - "geometry": {...}, //(OPTIONAL) - "properties": {...} //(OPTIONAL) -} - - * A MovingFeature object has a mandatory member with the name `"type"` whose value is the `"Feature"` string. -[NOTE] -Due to the compatibility issue with GeoJSON, MF-JSON Prism uses the same keyword to abstract a moving feature. -If a GeoJSON document has no foreign member defined in this specification, -applications can interpret the data by the semantics of GeoJSON members and types. - -* A MovingFeature object has a mandatory member with the name `"temporalGeometry"` -and its value is a TemporalGeometry object as defined below (see <>). -* A MovingFeature object has an optional member with the name `"temporalProperties"` -as additional dynamic non-spatial attributes whose value varies over time. -The `"temporalProperties"` member has a TemporalProperties object as defined in <> or a JSON `null` value. -* A MovingFeature object has two default members with the name `"crs"` and `"trs"` -for representing its spatial and temporal coordinate reference system respectively. -The value of the `"crs"` and `"trs"` member is a CoordinateReferenceSystem (CRS) object (see <>). -If a MovingFeature object has no `"crs"` and `"trs"`, -the object refers to the default spatial and temporal CRS. -The value expression of spatial and temporal coordinates of `"temporalGeometry"` and `"temporalProperties"` -is obedient to these CRS objects. -* A MovingFeature object can optionally have a `"time"` member for the temporal coordinate range -to cover all of temporal geometries and temporal properties with a LifeSpan object (see <