ELLIPSOID_GRID
Grid Points Within an Ellipsoid

ELLIPSOID_GRID is a MATLAB library which generates the grid points that lie inside an ellipsoid.

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.

Licensing:

The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.

Languages:

ELLIPSOID_GRID is available in a C version and a C++ version and a FORTRAN77 version and a FORTRAN90 version and a MATLAB version.

Related Data and Programs:

BALL_GRID, a MATLAB library which computes grid points that lie inside a 3D ball.

CIRCLE_ARC_GRID, a MATLAB program which computes points equally spaced along a circular arc;

CIRCLE_GRID, a MATLAB library which computes grid points that lie inside a circle.

ELLIPSE_GRID, a MATLAB library which computes grid points that lie inside an ellipse.

TETRAHEDRON_GRID, a MATLAB library which computes a tetrahedral grid of points.

TRIANGLE_GRID, a MATLAB library which computes a triangular grid of points.

Source Code:

• ellipsoid_grid.m, computes grid points inside an ellipse.
• ellipsoid_grid_count.m, counts grid points inside an ellipsoid.
• ellipsoid_grid_display.m, displays grid points inside an ellipsoid.
• r83vec_print_part.m, prints part of a vector of (X,Y,Z) data.
• r8mat_write.m, writes an R8MAT to a file.
• timestamp.m, prints the current YMDHMS date as a time stamp.

Examples and Tests:

• ellipsoid_grid_test.m, calls all the tests.
• ellipsoid_grid_test_output.txt, the output file.
• ellipsoid_grid_test01.m, requests the grid points inside an ellipsoid.
• ellipsoid_grid_test01.xyz, the list of grid points.
• ellipsoid_grid_test01.png, an image of the points.

You can go up one level to the MATLAB source codes.