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<html>
<head>
<title>
TILER_3D - 3D Transfinite Interpolation
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
TILER_3D <br> 3D Transfinite Interpolation
</h1>
<hr>
<p>
<b>TILER_3D</b>
is a C++ program which
carries out transfinite interpolation to "tile"
a 3D box that has already been subdivided into sub-boxes.
</p>
<p>
A simple "tile pattern" of a tetrahedron
is used, and the resulting object is written out as an ASCII <b>TRI</b>
graphics file.
</p>
<p>
The ASCII <b>TRI</b> graphics file can be easily converted to other
3D formats, such as <b>IV</b> or <b>STLA</b>. In particular,
if the <b>STLA</b> format is used, then the object can be
read into MATLAB and displayed, using the <b>STLA_DISPLAY</b>
program.
</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">
Languages:
</h3>
<p>
<b>TILER_3D</b> is available in
<a href = "../../cpp_src/tiler_3d/tiler_3d.html">a C++ version</a> and
<a href = "../../f_src/tiler_3d/tiler_3d.html">a FORTRAN90 version.</a>
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../cpp_src/blend/blend.html">
BLEND</a>,
a C++ library which
carries out the blending
demonstrated byTILER_3D.
</p>
<p>
<a href = "../../data/iv/iv.html">
IV</a>,
a data directory which
contains a description and examples of the IV (Inventor)
3D graphics format.
</p>
<p>
<a href = "../../cpp_src/ivcon/ivcon.html">
IVCON</a>,
a C++ program which
can convert the <b>TRI</b>
file output by TILER_3D into various other formats.
</p>
<p>
<a href = "../../f_src/ivread/ivread.html">
IVREAD</a>,
a FORTRAN90 program which
can convert the <b>TRI</b>
file output by TILER_3D into various other formats.
</p>
<p>
<a href = "../../data/stla/stla.html">
STLA</a>,
a data directory which
contains a description and examples of the ASCII STL (stereolithography)
3D graphics format.
</p>
<p>
<a href = "../../m_src/stla_display/stla_display.html">
STLA_DISPLAY</a>,
a MATLAB program which
reads in an ASCII STL file and displays
the 3D graphics image it describes.
</p>
<p>
<a href = "../../f_src/tiler_2d/tiler_2d.html">
TILER_2D</a>,
a FORTRAN90 program which
is a 2D version of TILER_3D.
</p>
<p>
<a href = "../../data/tria/tria.html">
TRIA</a>,
a data directory which
contains a description and examples of TRIA, the ASCII TRIANGLE
3D graphics format.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ul>
<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>
</ul>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "tiler_3d.cpp">tiler_3d.cpp</a>,
the source code;
</li>
<li>
<a href = "tiler_3d.sh">tiler_3d.sh</a>,
commands to compile and load the source code;
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "tiler_3d.tri">tiler_3d.tri</a>, the output ASCII <b>TRI</b>
graphics file;
</li>
<li>
<a href = "tiler_3d.iv">tiler_3d.iv</a>, a copy of the graphics
file converted to <b>IV</b> format;
</li>
<li>
<a href = "tiler_3d.stla">tiler_3d.stla</a>, a copy of the graphics
file converted to <b>STLA</b> format;
</li>
<li>
<a href = "tiler_3d.png">tiler_3d.png</a>,
a <a href = "../../data/png/png.html">PNG</a> image of a snapshot
of the <b>STLA</b> file, as displayed by <b>STLA_DISPLAY</b>.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>TILER_3D</b> illustrates the use of 3D blending.
</li>
<li>
<b>BOUNDARY_3D</b> returns the (X,Y,Z) coordinates of a point (U,V,W).
</li>
<li>
<b>SUB_BOX_TILER_3D</b> "tiles" a 3D sub-box with a given pattern.
</li>
<li>
<b>TIMESTAMP</b> prints the current YMDHMS date as a time stamp.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../cpp_src.html">
the C++ source codes</a>.
</p>
<hr>
<i>
Last revised on 05 January 2006.
</i>
<!-- John Burkardt -->
</body>
</html>