sphere_monte_carlo

sphere_monte_carlo, a MATLAB code which estimates the integral of F(X,Y,Z) over the surface of the unit sphere in 3D.

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

sphere_monte_carlo 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:

sphere_monte_carlo_test

matlab_monte_carlo, a MATLAB code which uses Monte Carlo sampling to estimate areas and integrals.

sphere_integrals, a MATLAB code which returns the exact value of the integral of any monomial over the surface of the unit sphere in 3d.

Source Code:

• monomial_value.m, evaluates a monomial.
• sphere01_area.m, returns the area of the unit sphere.
• sphere01_monomial_integral.m, integrates a monomial on a sphere.
• sphere01_sample.m, maps uniform points onto the unit sphere.