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tiler_2d.html
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<html>
<head>
<title>
TILER_2D - 2D Transfinite Interpolation
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
TILER_2D <br> 2D Transfinite Interpolation
</h1>
<hr>
<p>
<b>TILER_2D</b>
is a FORTRAN90 program which
demonstrates how to
graphically "tile" a 2D box with a repeated pattern, using transfinite interpolation.
</p>
<p>
The box has been divided into subregions that are not rectilinear,
nor the same size or shape. A simple "tile pattern" of the letter "R"
is used. The program must stretch and twist the pattern to fit into
each subregion. The resulting tiled object is written out as a PostScript
file.
</p>
<h3 align = "center">
Licensing:
</h3>
<p>
The computer code and data files described and made available on this web page
are distributed under
<a href = "../../txt/gnu_lgpl.txt">the GNU LGPL license.</a>
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../f_src/blend/blend.html">
BLEND</a>,
a FORTRAN90 library which
carries out the blending operations
demonstrated by <b>TILER_2D</b>.
</p>
<p>
<a href = "../../f_src/frieze/frieze.html">
FRIEZE</a>,
a FORTRAN90 program which
is similar to TILER_2D.
</p>
<p>
<a href = "../../f_src/ps_write/ps_write.html">
PS_WRITE</a>,
a FORTRAN90 library which
supplies routines used to create a PostScript image of the mapping.
</p>
<p>
<a href = "../../f_src/tiler_3d/tiler_3d.html">
TILER_3D</a>,
a FORTRAN90 program which
does blending in 3D.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
William Gordon, Charles Hall,<br>
Construction of Curvilinear Coordinate Systems and Application to
Mesh Generation,<br>
International Journal of Numerical Methods in Engineering,<br>
Volume 7, pages 461-477, 1973.
</li>
<li>
Joe Thompson, Bharat Soni, Nigel Weatherill,<br>
Handbook of Grid Generation,<br>
CRC Press, 1999.
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "tiler_2d.f90">tiler_2d.f90</a>, the source code;
</li>
<li>
<a href = "tiler_2d.sh">tiler_2d.sh</a>,
commands to compile, link and load the source code.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "tiler_2d.png">tiler_2d.png</a>,
a <a href = "../../data/png/png.html">PNG</a> image
of the mapping;
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>MAIN</b> is the main program for TILER_2D.
</li>
<li>
<b>BOUNDARY_2D</b> maps a point (U,V) to its corresponding (X,Y) coordinates.
</li>
<li>
<b>BOX_TILER_2D</b> selects one sub-box at a time to be tiled.
</li>
<li>
<b>CH_CAP</b> capitalizes a single character.
</li>
<li>
<b>I4_SWAP</b> swaps two I4's.
</li>
<li>
<b>PS_COLOR_LINE</b> handles the line color.
</li>
<li>
<b>PS_COLOR_LINE_SET</b> sets the line color.
</li>
<li>
<b>PS_COMMENT</b> inserts a comment into the PostScript file.
</li>
<li>
<b>PS_DEFAULT</b> sets the internal settings to their default values
</li>
<li>
<b>PS_FILE_CLOSE</b> closes a PostScript file.
</li>
<li>
<b>PS_FILE_HEAD</b> writes header information to a PostScript file.
</li>
<li>
<b>PS_FILE_OPEN</b> opens a new version of a PostScript file with a given name.
</li>
<li>
<b>PS_FILE_TAIL</b> writes trailer information to a PostScript file.
</li>
<li>
<b>PS_LINE_CLOSED</b> adds the graph of a closed line to a PostScript file.
</li>
<li>
<b>PS_LINE_OPEN</b> adds the graph of a line to a PostScript file.
</li>
<li>
<b>PS_PAGE_HEAD</b> writes header information on a new page.
</li>
<li>
<b>PS_PAGE_TAIL</b> writes tail information at the end of a page.
</li>
<li>
<b>PS_SETTING_INT</b> sets, gets, or prints integer internal PS_WRITE parameters.
</li>
<li>
<b>PS_SETTING_REAL</b> sets, gets, or prints real internal PS_WRITE parameters.
</li>
<li>
<b>R8_SWAP</b> swaps two real values.
</li>
<li>
<b>S_EQI</b> is a case insensitive comparison of two strings for equality.
</li>
<li>
<b>SUB_BOX_TILER_2D</b> "tiles" a sub-box with the given pattern.
</li>
<li>
<b>TIMESTAMP</b> prints the current YMDHMS date as a time stamp.
</li>
<li>
<b>TIMESTRING</b> writes the current YMDHMS date into a string.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../f_src.html">
the FORTRAN90 source codes</a>.
</p>
<hr>
<i>
Last revised on 05 January 2006.
</i>
<!-- John Burkardt -->
</body>
</html>