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<html>
<head>
<title>
TRIANGULATION_PLOT - Plot a Triangulation
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
TRIANGULATION_PLOT <br> Plot a Triangulation
</h1>
<hr>
<p>
<b>TRIANGULATION_PLOT</b>
is a C++ program which
plots a triangulation.
</p>
<p>
<b>TRIANGULATION_PLOT</b> reads one file listing the nodes, and
a second file consisting of groups of 3 or 6 nodes that make up
triangles, and creates an Encapsulated PostScript image of the
triangulation.
</p>
<h3 align = "center">
Usage:
</h3>
<p>
<blockquote>
<b>triangulation_plot</b> <i>prefix</i> <i>node_vis</i> <i>triangle_vis</i>
</blockquote>
where <i>prefix</i> is the common prefix for the node and triangle files,
and will also be used to name the output file:
<ul>
<li>
<i>prefix</i><b>_nodes.txt</b>, the node coordinates (input);
</li>
<li>
<i>prefix</i><b>_elements.txt</b>, the triangulation (input);
</li>
<li>
<i>prefix</i><b>.eps</b>, the plot file (output);
</li>
</ul>
and <i>node_vis</i> is an integer defining the node visibility:
<ul>
<li>
<b>0</b>, do not show the nodes;
</li>
<li>
<b>1</b>, show the nodes;
</li>
<li>
<b>2</b>, show the nodes and label them.
</li>
</ul>
and <i>triangle_vis</i> is an integer defining the triangle visibility:
<ul>
<li>
<b>0</b>, do not show the triangles;
</li>
<li>
<b>1</b>, show the triangles;
</li>
<li>
<b>2</b>, show the triangles and label them.
</li>
</ul>
</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>TRIANGULATION_PLOT</b> is available in
<a href = "../../cpp_src/triangulation_plot/triangulation_plot.html">a C++ version</a> and
<a href = "../../f_src/triangulation_plot/triangulation_plot.html">a FORTRAN90 version</a> and
<a href = "../../m_src/triangulation_plot/triangulation_plot.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../c_src/triangle/triangle.html">
TRIANGLE</a>,
a C program which
computes a triangulation of a geometric region.
</p>
<p>
<a href = "../../cpp_src/triangulation/triangulation.html">
TRIANGULATION</a>,
a C++ library which
is useful for working with triangulations.
</p>
<p>
<a href = "../../m_src/triangulation_display/triangulation_display.html">
TRIANGULATION_DISPLAY</a>,
a MATLAB program which
displays the nodes and elements of a triangulation on the MATLAB graphics screen;
</p>
<p>
<a href = "../../cpp_src/triangulation_display_opengl/triangulation_display_opengl.html">
TRIANGULATION_DISPLAY_OPENGL</a>,
a C++ program which
reads files defining a triangulation and displays an image using Open GL.
</p>
<p>
<a href = "../../cpp_src/triangulation_node_to_element/triangulation_node_to_element.html">
TRIANGULATION_NODE_TO_ELEMENT</a>,
a C++ program which
reads files describing a set of nodes, their triangulation, and the
value of one or more quantities at each node, and outputs a file
that averages the quantities for each element. This operation
in effect creates an "order1" finite element model of the data.
</p>
<p>
<a href = "../../data/triangulation_order3/triangulation_order3.html">
TRIANGULATION_ORDER3</a>,
a directory which
contains a description and
examples of order 3 triangulations.
</p>
<p>
<a href = "../../data/triangulation_order6/triangulation_order6.html">
TRIANGULATION_ORDER6</a>,
a directory which
contains a description and
examples of order 6 triangulations.
</p>
<p>
<a href = "../../cpp_src/triangulation_svg/triangulation_svg.html">
TRIANGULATION_SVG</a>,
a C++ program which
creates an SVG image of a triangulation, which can be displayed
by a web browser.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
Marc deBerg, Marc Krevald, Mark Overmars,
Otfried Schwarzkopf,<br>
Computational Geometry,<br>
Springer, 2000,<br>
ISBN: 3-540-65620-0,<br>
LC: QA448.D38.C65.
</li>
<li>
Joseph ORourke,<br>
Computational Geometry,<br>
Second Edition,<br>
Cambridge, 1998,<br>
ISBN: 0521649765,<br>
LC: QA448.D38.
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "triangulation_plot.cpp">triangulation_plot.cpp</a>,
the source code.
</li>
<li>
<a href = "triangulation_plot.sh">triangulation_plot.sh</a>,
commands to compile the source code.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<b>ELBOW3</b> is an elbow-shaped region, triangulated using
order 3 triangles.
<ul>
<li>
<a href = "../../datasets/triangulation_order3/elbow3_nodes.txt">
elbow3_nodes.txt</a>
the point coordinates.
</li>
<li>
<a href = "../../datasets/triangulation_order3/elbow3_elements.txt">
elbow3_elements.txt</a>
the triangulation.
</li>
<li>
<a href = "../../datasets/triangulation_order3/elbow3_triangulation.png">
elbow3_triangulation.png</a>
is a PNG image of
the triangulation.
</li>
</ul>
</p>
<p>
<b>ELL3</b> is an order 3 triangulation of a set of nodes in an L-shaped region.
<ul>
<li>
<a href = "../../datasets/triangulation_order3/ell3_nodes.txt">
ell3_nodes.txt</a>,
the nodes.
</li>
<li>
<a href = "../../datasets/triangulation_order3/ell3_elements.txt">
ell3_elements.txt</a>,
the triangulation.
</li>
<li>
<a href = "../../datasets/triangulation_order3/ell3_triangulation.png">
ell3_triangulation.png</a>,
a PNG image of the triangulation.
</li>
</ul>
</p>
<p>
<b>ELL6</b> is an order 6 triangulation of a set of nodes in an L-shaped region.
<ul>
<li>
<a href = "../../datasets/triangulation_order6/ell6_nodes.txt">
ell6_nodes.txt</a>,
the nodes.
</li>
<li>
<a href = "../../datasets/triangulation_order6/ell6_elements.txt">
ell6_elements.txt</a>,
the triangulation.
</li>
<li>
<a href = "../../datasets/triangulation_order6/ell6_triangulation.png">
ell6_triangulation.png</a>,
a PNG image of
the triangulation.
</li>
</ul>
</p>
<p>
<b>HEX_HOLES3</b> puts a set of nodes into the double hexagonal
hole region using CVT techniques, and creates an order 3 triangulation
using TABLE_DELAUNAY.
<ul>
<li>
<a href = "../../datasets/triangulation_order3/hex_holes3_nodes.txt">
hex_holes3_nodes.txt</a>,
the nodes.
</li>
<li>
<a href = "../../datasets/triangulation_order3/hex_holes3_elements.txt">
hex_holes3_elements.txt</a>,
the triangulation.
</li>
<li>
<a href = "../../datasets/triangulation_order3/hex_holes3_triangulation.png">
hex_holes3_triangulation.png</a>,
a PNG image of the triangulation.
</li>
</ul>
</p>
<p>
<b>LAKE3</b> uses constrained CVT methods to place nodes inside
and on the boundary of the problem 14 triangulation region,
a lake with an island. An order 3 triangulation is used.
<ul>
<li>
<a href = "../../datasets/triangulation_order3/lake3_nodes.txt">
lake3_nodes.txt</a>,
the nodes;
</li>
<li>
<a href = "../../datasets/triangulation_order3/lake3_elements.txt">
lake3_elements.txt</a>, the triangles;
</li>
<li>
<a href = "../../datasets/triangulation_order3/lake3_triangulation.png">
lake3_triangulation.png</a>,
a PNG image of the triangulation.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>MAIN</b> is the main program for TRIANGULATION_PLOT.
</li>
<li>
<b>CH_CAP</b> capitalizes a single character.
</li>
<li>
<b>CH_EQI</b> is true if two characters are equal, disregarding case.
</li>
<li>
<b>CH_TO_DIGIT</b> returns the integer value of a base 10 digit.
</li>
<li>
<b>FILE_COLUMN_COUNT</b> counts the columns in the first line of a file.
</li>
<li>
<b>FILE_EXIST</b> reports whether a file exists.
</li>
<li>
<b>FILE_ROW_COUNT</b> counts the number of row records in a file.
</li>
<li>
<b>I4_MAX</b> returns the maximum of two integers.
</li>
<li>
<b>I4_MIN</b> returns the smaller of two integers.
</li>
<li>
<b>I4_MODP</b> returns the nonnegative remainder of integer division.
</li>
<li>
<b>I4_WRAP</b> forces an integer to lie between given limits by wrapping.
</li>
<li>
<b>I4MAT_DATA_READ</b> reads data from an I4MAT file.
</li>
<li>
<b>I4MAT_HEADER_READ</b> reads the header from an I4MAT file.
</li>
<li>
<b>I4MAT_TRANSPOSE_PRINT_SOME</b> prints some of an I4MAT, transposed.
</li>
<li>
<b>R8_HUGE</b> returns a "huge" R8.
</li>
<li>
<b>R8_NINT</b> returns the nearest integer to an R8.
</li>
<li>
<b>R8MAT_DATA_READ</b> reads the data from an R8MAT file.
</li>
<li>
<b>R8MAT_HEADER_READ</b> reads the header from an R8MAT file.
</li>
<li>
<b>R8MAT_TRANSPOSE_PRINT_SOME</b> prints some of an R8MAT, transposed.
</li>
<li>
<b>S_LEN_TRIM</b> returns the length of a string to the last nonblank.
</li>
<li>
<b>S_TO_I4</b> reads an I4 from a string.
</li>
<li>
<b>S_TO_I4VEC</b> reads an I4VEC from a string.
</li>
<li>
<b>S_TO_R8</b> reads an R8 from a string.
</li>
<li>
<b>S_TO_R8VEC</b> reads an R8VEC from a string.
</li>
<li>
<b>S_WORD_COUNT</b> counts the number of "words" in a string.
</li>
<li>
<b>TIMESTAMP</b> prints the current YMDHMS date as a time stamp.
</li>
<li>
<b>TRIANGULATION_ORDER3_PLOT</b> plots a 3-node triangulation.
</li>
<li>
<b>TRIANGULATION_ORDER4_PLOT</b> plots a 4-node triangulation.
</li>
<li>
<b>TRIANGULATION_ORDER6_PLOT</b> plots a 6-node triangulation.
</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 22 August 2009.
</i>
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