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September 20th, 2011, 06:05 AM  #1 
Newbie Joined: Mar 2011 Posts: 23 Thanks: 0  Mathematica : random points on the unit sphere
I need to generate a set of random points on an unit sphere, using Mathematica. I can do it for a simple homogeneous (i.e. uniform) distribution of points using the following coordinates : RandomPoints[u_, phi_] := {Sqrt[1  u^2] Cos[phi], Sqrt[1  u^2] Sin[phi], u}, with uniform random variables u in [1, 1] and phi in [0, 2 Pi]. However, I would like to define a distribution that feels more "natural", i.e. Perlinlike (take note that I don't know how to define "Perlin noise", mathematically). What do you suggest ? 

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mathematica, points, random, sphere, unit 
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