BALL_GRID
Grid Points Within a 3D Ball

BALL_GRID is a MATLAB library which generates the grid points that lie inside a 3D ball.

The library allows the user to define an arbitrary ball by choosing its radius and center. The user also choose N, the number of subintervals into which a horizontal radius line 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:

BALL_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:

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.

ELLIPSOID_GRID, a MATLAB library which computes grid points that lie inside a 3D ellipsoid.

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:

• ball_grid.m, computes grid points inside a ball.
• ball_grid_count.m, counts grid points inside a ball.
• ball_grid_display.m, displays grid points inside a ball.
• r83vec_print_part.m, prints part of an R83VEC.
• r8mat_write.m, writes an R8MAT to a file.
• timestamp.m, prints the current YMDHMS date as a time stamp.

Examples and Tests:

• ball_grid_test.m, calls all the tests.
• ball_grid_test_output.txt, the output file.
• ball_grid_test01.m, requests the grid points inside a ball.
• ball_grid_test01.xyz, the list of grid points.
• ball_grid_test01.png, an image of the points.

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