hypersphere_properties, a MATLAB code which carries out various operations for an M-dimensional hypersphere, including converting between Cartesian and spherical coordinates, stereographic projection, sampling the surface of the sphere, and computing the surface area and volume.
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
hypersphere_properties is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version.
geometry, a MATLAB code which performs geometric calculations in 2, 3 and M dimensional space.
hypersphere_monte_carlo, a MATLAB code which applies a Monte Carlo method to estimate the integral of a function on the surface of the unit sphere in M dimensions;
hypersphere_surface, a MATLAB code which illustrates a procedure for estimating the location of a hypersurface defined by a characteristic function or a signed function.
random_data, a MATLAB code which generates sample points for various probability distributions, spatial dimensions, and geometries, including the M-dimensional cube, ellipsoid, simplex and sphere.
sphere_stereograph, a MATLAB code which computes the stereographic mapping between points on the unit sphere and points on the plane Z = 1; a generalized mapping is also available
sphere_stereograph_display, a MATLAB code which computes and displays the results of several stereographic projections between a sphere and a plane.