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Random points in 3D circle

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Old   December 23, 2003, 05:22
Default Random points in 3D circle
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ZZ
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Hi, I have a circle in 3D (common part for x^2+y^2+z^2<=R^2 and A*x+B*y+C*z=0). How to find random and uniformly distributed point in this circle? Thanks.
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Old   December 23, 2003, 10:22
Default Re: Random points in 3D circle
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ag
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For the random part note that on a 2D surface (which is what you have) you can only vary 2 of the parameters independently. Vary those two with random perturbations and then compute the third such that your point is on the sphere. To generate a uniform distribution you may find it easier to write your expression in spherical coordinates since they provide a more natural description of the surface.
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