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<html>
<head>
<title>
CCVT_BOX - Constrained CVT Calculation
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
CCVT_BOX <br> Centroidal Voronoi Tessellation <br> Constrained to a Box
</h1>
<hr>
<p>
<b>CCVT_BOX</b>
is a FORTRAN90 program which
creates a Centroidal Voronoi Tessellation
of points in a 2D box, with points constrained to lie on the boundary
of the region.
</p>
<p>
This is a fairly simple and limited code, and was designed mainly
for testing and experimentation. Current work is investigating
more interesting regions, including holes, and other ways of
"encouraging" some points to move to the boundary and stay there.
</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>CCVT_BOX</b> is available in
<a href = "../../cpp_src/ccvt_box/ccvt_box.html">a C++ version</a> and
<a href = "../../f_src/ccvt_box/ccvt_box.html">a FORTRAN90 version</a> and
<a href = "../../m_src/ccvt_box/ccvt_box.html">a MATLAB version.</a>
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../m_src/ccvt_reflect/ccvt_reflect.html">
CCVT_REFLECT</a>,
a MATLAB program which
tries to achieve the same results
as CCVT_BOX but using a "reflection" idea to force points
onto the boundary of the region.
</p>
<p>
<a href = "../../f_src/cvt/cvt.html">
CVT</a>,
a FORTRAN90 library which
creates CVT's.
</p>
<p>
<a href = "../../datasets/cvt/cvt.html">
CVT</a>,
a dataset directory which
contains files describing a number of CVT's.
</p>
<p>
<a href = "../../f_src/cvt_dataset/cvt_dataset.html">
CVT_DATASET</a>,
a FORTRAN90 program which
creates a CVT dataset.
</p>
<h3 align = "center">
Author:
</h3>
<p>
The FORTRAN version of <b>CCVT_BOX</b> was written by Lili Ju.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
Franz Aurenhammer,<br>
Voronoi diagrams -
a study of a fundamental geometric data structure,<br>
ACM Computing Surveys,<br>
Volume 23, Number 3, pages 345-405, September 1991.
</li>
<li>
John Burkardt, Max Gunzburger, Janet Peterson and Rebecca Brannon,<br>
User Manual and Supporting Information for Library of Codes
for Centroidal Voronoi Placement and Associated Zeroth,
First, and Second Moment Determination,<br>
Sandia National Laboratories Technical Report SAND2002-0099,<br>
February 2002.
</li>
<li>
Qiang Du, Vance Faber and Max Gunzburger,<br>
Centroidal Voronoi Tessellations: Applications and Algorithms,<br>
SIAM Review, Volume 41, 1999, pages 637-676.
</li>
<li>
Qiang Du, Max Gunzburger and Lili Ju,<br>
Meshfree, Probabilistic Determination of Point Sets and Support
Regions for Meshfree Computing,<br>
Computer Methods in Applied Mechanics in Engineering,<br>
Volume 191, 2002, pages 1349-1366;
</li>
<li>
Lili Ju, Qiang Du and Max Gunzburger,<br>
Probabilistic Methods for Centroidal Voronoi Tessellations and
their Parallel Implementations,<br>
Parallel Computing, Volume 28, 2002, pages 1477-1500.
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "ccvt_box.f90">ccvt_box.f90</a>, the source code;
</li>
<li>
<a href = "ccvt_box.sh">ccvt_box.sh</a>,
commands to compile the source code;
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "ccvt_box_input.txt">ccvt_box_input.txt</a>,
input that would normally be entered
interactively by the user.
</li>
<li>
<a href = "ccvt_box_output.txt">ccvt_box_output.txt</a>,
printed output from a run of the program.
</li>
<li>
<a href = "initial.txt">initial.txt</a>,
a <a href = "../../data/table/table.html">TABLE file</a>
containing the initial CVT generators.
</li>
<li>
<a href = "initial.png">initial.png</a>,
a <a href = "../../data/png/png.html">PNG</a>
image of the initial CVT generators.
</li>
<li>
<a href = "final.txt">final.txt</a>,
a <a href = "../../data/table/table.html">TABLE file</a>
containing the final CVT generators.
</li>
<li>
<a href = "final.png">final.png</a>,
a <a href = "../../data/png/png.html">PNG</a>
image of the final CVT generators.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>MAIN</b> is the main program for CCVT_BOX.
</li>
<li>
<b>CH_CAP</b> capitalizes a single character.
</li>
<li>
<b>CVT_ENERGY</b> computes the CVT energy of a dataset.
</li>
<li>
<b>CVT_SAMPLE</b> returns sample points.
</li>
<li>
<b>CVT_WRITE</b> writes a CVT dataset to a file.
</li>
<li>
<b>FIND_CLOSEST</b> finds the nearest R point to each S point.
</li>
<li>
<b>GET_UNIT</b> returns a free FORTRAN unit number.
</li>
<li>
<b>HALHAM_LEAP_CHECK</b> checks LEAP for a Halton or Hammersley sequence.
</li>
<li>
<b>HALHAM_N_CHECK</b> checks N for a Halton or Hammersley sequence.
</li>
<li>
<b>HALHAM_NDIM_CHECK</b> checks NDIM for a Halton or Hammersley sequence.
</li>
<li>
<b>HALHAM_SEED_CHECK</b> checks SEED for a Halton or Hammersley sequence.
</li>
<li>
<b>HALHAM_STEP_CHECK</b> checks STEP for a Halton or Hammersley sequence.
</li>
<li>
<b>HALTON_BASE_CHECK</b> checks BASE for a Halton sequence.
</li>
<li>
<b>I4_TO_HALTON_SEQUENCE</b> computes N elements of a leaped Halton subsequence.
</li>
<li>
<b>I4VEC_TRANSPOSE_PRINT</b> prints an I4VEC "transposed".
</li>
<li>
<b>MPB</b> projects generators onto the boundary of the region.
</li>
<li>
<b>POINTS_EPS</b> creates an EPS file image of a set of points.
</li>
<li>
<b>PRIME</b> returns any of the first PRIME_MAX prime numbers.
</li>
<li>
<b>R8MAT_UNIFORM_01</b> returns a unit pseudorandom R8MAT.
</li>
<li>
<b>RANDOM_INITIALIZE</b> initializes the FORTRAN90 random number seed.
</li>
<li>
<b>S_EQI</b> is a case insensitive comparison of two strings for equality.
</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>
<li>
<b>TUPLE_NEXT_FAST</b> computes the next element of a tuple space, "fast".
</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 14 September 2005.
</i>
<!-- John Burkardt -->
</body>
</html>