RANDSPHERE: RANDOM POINTS ON THE SURFACE OF AN nD SPHERE 1.0

A few days ago I was in need of uniformly random points generation on the surface of sphere. I suddenly discovered that common parametrization with 2 angles is useless, it gathers too many points in the poles. At MathWorld you can find the complete demonstration, here the main lines:To pick a random point on the surface of a unit sphere, it is incorrect to select spherical coordinates theta and phi from uniform distributions theta in [0,2pi) and phi in [0,pi], since the area element dOmega=sinphidthetadphi is a function of phi, and hence points picked in this way will be d-deDUbunchedd-deDt near the poles (left figure above).

Requirements:	No special requirements
Platforms:	Matlab
Keyword:	02pi An,  0pi Since,  And Hence,  Angles,  Area Element,  Bunched,  Common Parametrization,  Complete Demonstration,  Coordinates Theta,  Find,  Mathworld,  Phi,  Points,  Select Spherical,  Theta Phi,  This Way Will,  Uniform Distributions Theta,  Uniformly Random Points
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