ellipsoid_grid

ellipsoid_grid, an Octave code which generates a grid of points over the interior of an ellipsoid in 3D.

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 MIT license

Languages:

ellipsoid_grid is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.

Related Data and Programs:

ellipsoid_grid_test

ellipse, an Octave code which performs various geometric calculations for ellipses and ellipsoids.

ellipsoid_monte_carlo an Octave code which uses the Monte Carlo method to estimate the value of integrals over the interior of an ellipsoid in M dimensions.

octave_grid, an Octave code which generates a regular grid of points inside a variety of regions in one, two, three or many dimensions.

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.