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Certifiable two-view planar triangulation

Manuscript submitted

This repo contains the code for the solvers and optimality certificates for the two-view planar triangulation problem explained in this paper.

Authors: Mercedes Garcia-Salguero, Javier Gonzalez-Jimenez

License: GPLv3

If you use this code for your research, please cite:

@article{GARCIASALGUERO2022103570,
title = {Certifiable algorithms for the two-view planar triangulation problem},
journal = {Computer Vision and Image Understanding},
pages = {103570},
year = {2022},
issn = {1077-3142},
doi = {https://doi.org/10.1016/j.cviu.2022.103570},
url = {https://www.sciencedirect.com/science/article/pii/S1077314222001485},
author = {Mercedes Garcia-Salguero and Javier Gonzalez-Jimenez},
keywords = {Two-view planar triangulation, Primal–dual solver, Optimality certificate, Sufficient optimality condition},
}

Build

git clone --recursive https://github.com/mergarsal/CertTwoViewPlanarTriangulation.git
cd CertTwoViewPlanarTriangulation

mkdir build & cd build 

cmake .. 

make -jX

The compiled examples should be inside the bin directory. Run for example:

        ./bin/example_base

Install

In build folder:

        sudo make install

We also provide the uninstall script:

        sudo make uninstall

How to use the library in your project

See the example in the folder example_install for the basic elements.

  1. In your CMakeLists.txt, add the dependences:
        find_package(OptTwoPlanarTriangulation   REQUIRED)
  1. For your executable, add the library in
        target_link_libraries(XXX OptTwoPlanarTriangulation)

Test

We provide a file with the test parameters in basic_params.txt. The test reads the parameters in this file and perform the experiment.