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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 MATLAB 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.
</li>
<li>
<i>'prefix'</i><b>_elements.txt</b>, the triangulation
</li>
<li>
<i>'prefix'</i><b>.eps</b>, the plot file
</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 = "../../m_src/fem_basis_t3_display/fem_basis_t3_display.html">
FEM_BASIS_T3_DISPLAY</a>,
a MATLAB program which
displays a basis function associated with a linear triangle ("T3") mesh.
</p>
<p>
<a href = "../../m_src/fem_basis_t6_display/fem_basis_t6_display.html">
FEM_BASIS_T6_DISPLAY</a>,
a MATLAB program which
reads a quadratic triangle mesh and displays any associated basis function.
</p>
<p>
<a href = "../../f_src/table_delaunay/table_delaunay.html">
TABLE_DELAUNAY</a>,
a FORTRAN90 program which
can construct the triangulation data for a given node file.
</p>
<p>
<a href = "../../m_src/tri_surface_display/tri_surface_display.html">
TRI_SURFACE_DISPLAY</a>,
a MATLAB program which
reads data defining a triangular mesh
of a 3D surface and displays it.
</p>
<p>
<a href = "../../m_src/triangulation/triangulation.html">
TRIANGULATION</a>,
a MATLAB library which
is useful for working with triangulations.
</p>
<p>
<a href = "../../m_src/triangulation_corner/triangulation_corner.html">
TRIANGULATION_CORNER</a>,
a MATLAB program which
patches triangulations so that no triangle has two sides on the boundary.
</p>
<p>
<a href = "../../m_src/triangulation_delaunay_discrepancy/triangulation_delaunay_discrepancy.html">
TRIANGULATION_DELAUNAY_DISCREPANCY</a>,
a MATLAB program which
measures the amount by which a triangulation fails the local Delaunay test;
</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 = "../../m_src/triangulation_histogram/triangulation_histogram.html">
TRIANGULATION_HISTOGRAM</a>,
a MATLAB program which
computes histograms of data over a triangulation.
</p>
<p>
<a href = "../../m_src/triangulation_mask/triangulation_mask.html">
TRIANGULATION_MASK</a>,
a MATLAB program which
takes an existing triangulation and deletes triangles and
their corresponding nodes as requested by the user.
</p>
<p>
<a href = "../../data/triangulation_order3/triangulation_order3.html">
TRIANGULATION_ORDER3</a>,
a data directory which
describes the node and triangle files
used for an order 3 triangulation.
</p>
<p>
<a href = "../../data/triangulation_order6/triangulation_order6.html">
TRIANGULATION_ORDER6</a>,
a data directory which
describes the node and triangle files
used for an order 6 triangulation.
</p>
<p>
<a href = "../../m_src/triangulation_orient/triangulation_orient.html">
TRIANGULATION_ORIENT</a>,
a MATLAB program which
reads data defining a triangulation, makes sure that
every triangle has positive orientation, and if not, writes a
corrected triangle file.
</p>
<p>
<a href = "../../m_src/triangulation_quad/triangulation_quad.html">
TRIANGULATION_QUAD</a>,
a MATLAB program which
estimates the integral of a function over a triangulated region.
</p>
<p>
<a href = "../../m_src/triangulation_refine/triangulation_refine.html">
TRIANGULATION_REFINE</a>,
a MATLAB program which
reads data defining a triangulation, replaces each triangle
by four congruent smaller ones, and writes the new triangulation
information to a file.
</p>
<p>
<a href = "../../m_src/triangulation_svg/triangulation_svg.html">
TRIANGULATION_SVG</a>,
a MATLAB program which
creates an SVG image of a triangulation, which can be displayed
by an web browser.
</p>
<p>
<a href = "../../m_src/triangulation_triangle_neighbors/triangulation_triangle_neighbors.html">
TRIANGULATION_TRIANGLE_NEIGHBORS</a>,
a MATLAB program which
reads data defining a triangulation, determines the neighboring
triangles of each triangle, and writes that information to a file.
</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.m">triangulation_plot.m</a>
plots a triangulated set of nodes.
</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>
<p>
You can go up one level to <a href = "../m_src.html">
the MATLAB source codes</a>.
</p>
<hr>
<i>
Last revised on 04 November 2010.
</i>
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