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<html>
<head>
<title>
SPHERE_VORONOI_DISPLAY_OPENGL - Display an Approximate Voronoi Diagram on a Sphere
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
SPHERE_VORONOI_DISPLAY_OPENGL <br> Display an Approximate Voronoi Diagram on a Sphere
</h1>
<hr>
<p>
<b>SPHERE_VORONOI_DISPLAY_OPENGL</b>
is a C++ program which
picks random points on a sphere as generators, and then gradually
colors in neighboring points according to the color of the nearest generator.
This, in effect, constructs a Voronoi diagram, or at least, suggests it.
The exact calculation of the boundary lines and vertices requires
a more precise computation.
</p>
<p>
The user is allowed to request the number of generators, and OpenGL is used
to display the results. Initially, the sphere is rotating, but at least on
my machine, once I try to display the neighbors, the rotation becomes very
slow.
</p>
<h3 align = "center">
Usage:
</h3>
<p>
<blockquote>
<b>sphere_voronoi_display_opengl</b> <i>gen_num</i>
</blockquote>
where
<ul>
<li>
<i>gen_num</i> is the number of generators,
</li>
</ul>
The first 5 or 6
mouse clicks rotate and pause the image of the generators. The next 20
mouse clicks pause the sphere, add 1/10 of the sample points and resume
rotation.
</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>SPHERE_VORONOI_DISPLAY_OPENGL</b> is available in
<a href = "../../cpp_src/sphere_voronoi_display_opengl/sphere_voronoi_display_opengl.html">a C++ version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../cpp_src/fern_opengl/fern_opengl.html">
FERN_OPENGL</a>,
a C++ program which
uses OpenGL to display the Barnsley fractal fern.
</p>
<p>
<a href = "../../cpp_src/rotating_cube_display_opengl/rotating_cube_display_opengl.html">
ROTATING_CUBE_DISPLAY_OPENGL</a>,
a C++ program which
displays a rotating color cube in 3D, using OpenGL;
</p>
<p>
<a href = "../../f_src/sphere_cvt/sphere_cvt.html">
SPHERE_CVT</a>,
a FORTRAN90 library which
creates a mesh of well-separated points on a unit sphere using Centroidal Voronoi
Tessellations.
</p>
<p>
<a href = "../../m_src/sphere_cvt/sphere_cvt.html">
SPHERE_CVT</a>,
a MATLAB library which
creates a mesh of well-separated points on a unit sphere by applying the
Centroidal Voronoi Tessellation (CVT) iteration.
</p>
<p>
<a href = "../../m_src/sphere_delaunay/sphere_delaunay.html">
SPHERE_DELAUNAY</a>,
a MATLAB program which
computes the Delaunay triangulation of points on a sphere.
</p>
<p>
<a href = "../../f_src/sphere_design_rule/sphere_design_rule.html">
SPHERE_DESIGN_RULE</a>,
a FORTRAN90 library which
returns point sets on the surface of the unit sphere, known as "designs",
which can be useful for estimating integrals on the surface, among other uses.
</p>
<p>
<a href = "../../m_src/sphere_voronoi/sphere_voronoi.html">
SPHERE_VORONOI</a>,
a MATLAB program which
computes the Voronoi diagram of points on a sphere.
</p>
<p>
<a href = "../../cpp_src/sphere_xyz_display_opengl/sphere_xyz_display_opengl.html">
SPHERE_XYZ_DISPLAY_OPENGL</a>,
a C++ program which
reads XYZ information defining points in 3D,
and displays a unit sphere and the points, using OpenGL.
</p>
<p>
<a href = "../../f_src/stripack_voronoi/stripack_voronoi.html">
STRIPACK_VORONOI</a>,
a FORTRAN90 program which
reads an XYZ file of 3D points on
the unit sphere, computes the Voronoi diagram, and writes it
to a file.
</p>
<p>
<a href = "../../f_src/sxyz_voronoi/sxyz_voronoi.html">
SXYZ_VORONOI</a>,
a FORTRAN90 library which
reads an XYZ file of 3D points on the sphere, and
computes and plots Delaunay triangulations and Voronoi diagrams.
</p>
<p>
<a href = "../../cpp_src/xyz_display_opengl/xyz_display_opengl.html">
XYZ_DISPLAY_OPENGL</a>,
a C++ program which
reads XYZ information defining points in 3D,
and displays an image using OpenGL.
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "sphere_voronoi_display_opengl.cpp">sphere_voronoi_display_opengl.cpp</a>,
the source code.
</li>
<li>
<a href = "sphere_voronoi_display_opengl.sh">sphere_voronoi_display_opengl.sh</a>,
commands to compile the source code.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "sphere_generators.png">sphere_generators.png</a>,
a PNG image of the sphere with just the initial generators indicated.
</li>
<li>
<a href = "sphere_voronoi.png">sphere_voronoi.png</a>,
a PNG image of the sphere, with many points colored the same as the nearest generator.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>MAIN</b> is the main program for SPHERE_VORONOI_DISPLAY_OPENGL.
</li>
<li>
<b>DISPLAY</b> generates the graphics output.
</li>
<li>
<b>MOUSE</b> determines the response to mouse input.
</li>
<li>
<b>MYINIT</b> initializes OpenGL state variables dealing with viewing and attributes.
</li>
<li>
<b>MYRESHAPE</b> determines the window mapping.
</li>
<li>
<b>R4MAT_UNIFORM_01</b> returns a unit pseudorandom R4MAT.
</li>
<li>
<b>R4MAT_ZERO_NEW</b> returns a new zeroed R4MAT.
</li>
<li>
<b>R4VEC_NORMAL_01</b> samples the standard normal probability distribution.
</li>
<li>
<b>R4VEC_UNIFORM_01</b> returns a unit unit pseudorandom R4VEC.
</li>
<li>
<b>SPIN_IMAGE</b> adjusts the angle of rotation and redisplays the picture.
</li>
<li>
<b>TIMESTAMP</b> prints the current YMDHMS date as a time stamp.
</li>
<li>
<b>UNIFORM_ON_SPHERE01_MAP</b> maps uniform points onto the unit sphere.
</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 14 February 2009.
</i>
<!-- John Burkardt -->
</body>
<!-- Initial HTML skeleton created by HTMLINDEX. -->
</html>