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<html>
<head>
<title>
TRIANGULATION_DISPLAY - Plot a Triangulation
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
TRIANGULATION_DISPLAY <br> Plot a Triangulation
</h1>
<hr>
<p>
<b>TRIANGULATION_DISPLAY</b>
is a MATLAB program which
plots a triangulation.
</p>
<p>
<b>TRIANGULATION_DISPLAY</b> reads one file listing the nodes, and
a second file consisting of groups of 3 or 6 nodes that make up
the elements, and creates an Encapsulated PostScript image of the
triangulation.
</p>
<p>
If a third file is available, listing the element neighbors of each
element, then the program will read that file, and can display that
information as well.
</p>
<h3 align = "center">
Usage:
</h3>
<p>
<blockquote>
<b>triangulation_display</b> ( <i>'prefix'</i>, <i>node_vis</i>, <i>element_vis</i>,
<i>(neighbor_vis)</i> )
</blockquote>
where <i>'prefix'</i> is the common prefix for the node and element files,
and will also be used to name the output file:
<ul>
<li>
<i>'prefix'</i><b>_nodes.txt</b>, the node coordinate file;
</li>
<li>
<i>'prefix'</i><b>_elements.txt</b>, the element node file;
</li>
<li>
<i>'prefix'</i><b>_element_neighbors.txt</b>, the optional element neighbor 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>element_vis</i> is an integer defining the element visibility:
<ul>
<li>
<b>0</b>, do not show the elements;
</li>
<li>
<b>1</b>, show the elements;
</li>
<li>
<b>2</b>, show the elements and color them.
</li>
<li>
<b>3</b>, show the elements and color them, and label them.
</li>
</ul>
and <i>neighbor_vis</i> is an integer defining the element neighbor visibility:
<ul>
<li>
<b>0</b>, do not show the element neighbor labels;
</li>
<li>
<b>1</b>, show the element neighbor labels;
</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_DISPLAY</b> is available in
<a href = "../../m_src/triangulation_display/triangulation_display.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 = "../../m_src/gridlines/gridlines.html">
GRIDLINES</a>,
a MATLAB library which
gives the user more control over drawing gridlines on a graph
than the builtin "grid on" command.
</p>
<p>
<a href = "../../m_src/mesh_display/mesh_display.html">
MESH_DISPLAY</a>,
a MATLAB program which
reads data defining a polygonal mesh and displays it, with optional numbering.
</p>
<p>
<a href = "../../m_src/mpas_grid_display/mpas_grid_display.html">
MPAS_GRID_DISPLAY</a>,
MATLAB programs which
can read an MPAS NETCDF grid file and display the primary polygonal
mesh or the dual triangular mesh.
</p>
<p>
<a href = "../../m_src/ply_display/ply_display.html">
PLY_DISPLAY</a>,
a MATLAB program which
displays an image of a 3D graphics file in PLY format;
</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/triangle_display/triangle_display.html">
TRIANGLE_DISPLAY</a>,
a MATLAB program which
displays the nodes and elements of a triangulation
on the MATLAB graphics screen, assuming the data has been
stored in NODE and ELE files by the TRIANGLE program.
</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_plot/triangulation_plot.html">
TRIANGULATION_PLOT</a>,
a MATLAB program which
plots a triangulation as an Encapsulated PostScript (EPS) 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>
<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_display.m">triangulation_display.m</a>
the source code.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<b>BOX4</b> is an order 4 triangulation.
<ul>
<li>
<a href = "../../data/triangulation_order4/box4_nodes.txt">
box4_nodes.txt</a>,
the nodes.
</li>
<li>
<a href = "../../data/triangulation_order4/box4_nodes.png">
box4_nodes.png</a>,
an image of the nodes.
</li>
<li>
<a href = "../../data/triangulation_order4/box4_elements.txt">
box4_elements.txt</a>,
the elements.
</li>
<li>
<a href = "../../data/triangulation_order4/box4_elements.png">
box4_elements.png</a>,
an image of the elements.
</li>
<li>
<a href = "../../data/triangulation_order4/box4_element_neighbors.txt">
box4_element_neighbors.txt</a>,
the element neighbors.
</li>
<li>
<a href = "../../data/triangulation_order4/box4_element_neighbors.png">
box4_element_neighbors.png</a>,
an image of the element neighbors.
</li>
</ul>
</p>
<p>
<b>CIRCLE</b> is a circular region, triangulated using
order 3 elements.
<ul>
<li>
<a href = "../../datasets/triangulation_order3/circle_nodes.txt">
circle_nodes.txt</a>
the point coordinates.
</li>
<li>
<a href = "../../datasets/triangulation_order3/circle_nodes.png">
circle_nodes.png</a>
an image of the elements.
</li>
<li>
<a href = "../../datasets/triangulation_order3/circle_elements.txt">
circle_elements.txt</a>
the elements
</li>
<li>
<a href = "../../datasets/triangulation_order3/circle_elements.png">
circle_elements.png</a>
an image of the elements.
</li>
</ul>
</p>
<p>
<b>ELBOW3</b> is an elbow-shaped region, triangulated using
order 3 elements.
<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_nodes.png">
elbow3_nodes.png</a>
an image of the nodes.
</li>
<li>
<a href = "../../datasets/triangulation_order3/elbow3_elements.txt">
elbow3_elements.txt</a>
the elements.
</li>
<li>
<a href = "../../datasets/triangulation_order3/elbow3_elements.png">
elbow3_elements.png</a>
an image of the elements.
</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_nodes.png">
ell3_nodes.png</a>,
an image of the nodes.
</li>
<li>
<a href = "../../datasets/triangulation_order3/ell3_elements.txt">
ell3_elements.txt</a>,
the elements.
</li>
<li>
<a href = "../../datasets/triangulation_order3/ell3_elements.png">
ell3_elements.png</a>,
an image of the elements.
</li>
<li>
<a href = "../../datasets/triangulation_order3/ell3_element_neighbors.txt">
ell3_element_neighbors.txt</a>,
the element neighbor array.
</li>
<li>
<a href = "../../datasets/triangulation_order3/ell3_element_neighbors.png">
ell3_element_neighbors.png</a>,
an image of the element neighbor labels.
</li>
</ul>
</p>
<p>
<b>GREENLAND</b> is a triangulation of Greenland, using 33,343 nodes and
64,125 elements of order 3 elements. The image is too dense to display
in full, so MATLAB's "zoom" facility was used to display a small portion
of the mesh.
<ul>
<li>
<a href = "../../datasets/triangulation_order3/greenland_nodes.txt">
greenland_nodes.txt</a>,
the nodes.
</li>
<li>
<a href = "../../datasets/triangulation_order3/greenland_elements.txt">
greenland_elements.txt</a>,
the elements.
</li>
<li>
<a href = "../../datasets/triangulation_order3/greenland_elements.png">
greenland_elements.png</a>,
an image of the elements, after "zooming in" twice.
</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 elements.
</li>
<li>
<a href = "../../datasets/triangulation_order3/hex_holes3_elements.png">
hex_holes3_elements.png</a>,
an image of the elements.
</li>
</ul>
</p>
<p>
<b>IRREG6</b> is an order 6 triangulation.
<ul>
<li>
<a href = "../../datasets/triangulation_order6/irreg6_nodes.txt">
irreg6_nodes.txt</a>,
the nodes.
</li>
<li>
<a href = "../../datasets/triangulation_order6/irreg6_elements.txt">
irreg6_elements.txt</a>,
the elements.
</li>
<li>
<a href = "../../datasets/triangulation_order6/irreg6_elements.png">
irreg6_elements.png</a>,
an image of the elements.
</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_elements3.txt">
lake3_elements.txt</a>,
the elements;
</li>
<li>
<a href = "../../datasets/triangulation_order3/lake3_elements.png">
lake3_elements.png</a>,
an image of the elements.
</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 30 August 2011.
</i>
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</html>