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<html>
<head>
<title>
ELLIPSOID_GRID - Grid Points Within an Ellipsoid
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
ELLIPSOID_GRID <br> Grid Points Within an Ellipsoid
</h1>
<hr>
<p>
<b>ELLIPSOID_GRID</b>
is a Python library which
generates a grid of points
over the interior of an ellipsoid in 3D.
</p>
<p>
The library allows the user to define an ellipsoid by
choosing the 3D coordinates of its center and the lengths of its three axes.
The user also choose N, the number of subintervals into which the
shortest radius will be subdivided. It then returns the gridpoints
defined by that choice.
</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>ELLIPSOID_GRID</b> is available in
<a href = "../../c_src/ellipsoid_grid/ellipsoid_grid.html">a C version</a> and
<a href = "../../cpp_src/ellipsoid_grid/ellipsoid_grid.html">a C++ version</a> and
<a href = "../../f77_src/ellipsoid_grid/ellipsoid_grid.html">a FORTRAN77 version</a> and
<a href = "../../f_src/ellipsoid_grid/ellipsoid_grid.html">a FORTRAN90 version</a> and
<a href = "../../m_src/ellipsoid_grid/ellipsoid_grid.html">a MATLAB version</a> and
<a href = "../../py_src/ellipsoid_grid/ellipsoid_grid.html">a Python version</a>
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../py_src/ball_grid/ball_grid.html">
BALL_GRID</a>,
a Python library which
computes a grid of points
over the interior of a ball in 3D.
</p>
<p>
<a href = "../../py_src/circle_arc_grid/circle_arc_grid.html">
CIRCLE_ARC_GRID</a>,
a Python library which
computes a grid of points
along a circle or circular arc in 2D.
</p>
<p>
<a href = "../../py_src/cube_grid/cube_grid.html">
CUBE_GRID</a>,
a Python library which
computes a grid of points
over the interior of a cube in 3D.
</p>
<p>
<a href = "../../py_src/disk_grid/disk_grid.html">
DISK_GRID</a>,
a Python library which
computes a grid of points
over the interior of a disk in 2D.
</p>
<p>
<a href = "../../py_src/ellipse_grid/ellipse_grid.html">
ELLIPSE_GRID</a>,
a Python library which
computes a grid of points
over the interior of an ellipse in 2D.
</p>
<p>
<a href = "../../m_src/ellipsoid_monte_carlo/ellipsoid_monte_carlo.html">
ELLIPSOID_MONTE_CARLO</a>
a MATLAB library which
uses the Monte Carlo method to estimate the value of integrals
over the interior of an ellipsoid in M dimensions.
</p>
<p>
<a href = "../../py_src/hypercube_grid/hypercube_grid.html">
HYPERCUBE_GRID</a>,
a Python library which
computes a grid of points
over the interior of a hypercube in M dimensions.
</p>
<p>
<a href = "../../py_src/line_grid/line_grid.html">
LINE_GRID</a>,
a Python library which
computes a grid of points
over the interior of a line segment in 1D.
</p>
<p>
<a href = "../../py_src/polygon_grid/polygon_grid.html">
POLYGON_GRID</a>,
a Python library which
generates a grid of points
over the interior of a polygon in 2D.
</p>
<p>
<a href = "../../py_src/pyramid_grid/pyramid_grid.html">
PYRAMID_GRID</a>,
a Python library which
computes a grid of points
over the interior of the unit pyramid in 3D;
</p>
<p>
<a href = "../../py_src/simplex_grid/simplex_grid.html">
SIMPLEX_GRID</a>,
a Python library which
generates a regular grid of points
over the interior of an arbitrary simplex in M dimensions.
</p>
<p>
<a href = "../../py_src/sphere_fibonacci_grid/sphere_fibonacci_grid.html">
SPHERE_FIBONACCI_GRID</a>,
a Python library which
uses a Fibonacci spiral to create a grid of points
on the surface of the unit sphere in 3D.
</p>
<p>
<a href = "../../py_src/sphere_llq_grid/sphere_llq_grid.html">
SPHERE_LLQ_GRID</a>,
a Python library which
uses longitudes and latitudes to create grids of points,
lines, and quadrilaterals
on the surface of the unit sphere in 3D.
</p>
<p>
<a href = "../../py_src/sphere_llt_grid/sphere_llt_grid.html">
SPHERE_LLT_GRID</a>,
a Python library which
uses longitudes and latitudes to create grids of points,
lines, and triangles
on the surface of the unit sphere in 3D.
</p>
<p>
<a href = "../../py_src/square_grid/square_grid.html">
SQUARE_GRID</a>,
a Python library which
computes a grid of points
over the interior of a square in 2D.
</p>
<p>
<a href = "../../py_src/tetrahedron_grid/tetrahedron_grid.html">
TETRAHEDRON_GRID</a>,
a Python library which
computes a grid of points
over the interior of a tetrahedron in 3D.
</p>
<p>
<a href = "../../py_src/triangle_grid/triangle_grid.html">
TRIANGLE_GRID</a>,
a Python library which
computes a grid of points
over the interior of a triangle in 2D.
</p>
<p>
<a href = "../../py_src/wedge_grid/wedge_grid.html">
WEDGE_GRID</a>,
a Python library which
computes a grid of points
over the interior of the unit wedge in 3D.
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "ellipsoid_grid_count.m">ellipsoid_grid_count.m</a>,
count grid points over the interior of an ellipsoid in 3D.
</li>
<li>
<a href = "ellipsoid_grid_display.m">ellipsoid_grid_display.m</a>,
display points over the interior of an ellipsoid in 3D.
</li>
<li>
<a href = "ellipsoid_grid_points.m">ellipsoid_grid_points.m</a>,
grid points over the interior of an ellipsoid in 3D.
</li>
<li>
<a href = "r83col_print_part.py">r83col_print_part.py</a>,
prints part of an R83COL.
</li>
<li>
<a href = "r8mat_write.py">r8mat_write.py</a>,
writes an R8MAT to a file.
</li>
<li>
<a href = "timestamp.py">timestamp.py</a>,
prints the current YMDHMS date as a time stamp.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "ellipsoid_grid_test.py">ellipsoid_grid_test.py</a>,
calls all the tests.
</li>
<li>
<a href = "ellipsoid_grid_test.sh">ellipsoid_grid_test.sh</a>,
runs all the tests.
</li>
<li>
<a href = "ellipsoid_grid_test_output.txt">ellipsoid_grid_test_output.txt</a>,
the output file.
</li>
<li>
<a href = "ellipsoid_grid_points.xyz">ellipsoid_grid_points.xyz</a>,
a sample set of grid points written to a file.
</li>
<li>
<a href = "ellipsoid_grid_points.png">ellipsoid_grid_points.png</a>,
a plot of a sample set of points.
</li>
<li>
<a href = "ellipsoid_grid_display.png">ellipsoid_grid_display.png</a>,
a demonstration of the output of ellipsoid_grid_display().
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../py_src.html">
the Python source codes</a>.
</p>
<hr>
<i>
Last revised on 13 April 2015.
</i>
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</html>