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Math Help - Computing a uniform distribution of points inside a Sphere !? What is the approach?

  1. #1
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    Question Computing a uniform distribution of points inside a Sphere !? What is the approach?

    Greetings to all shiny minds!

    I am working on a project that requires computing a uniform distribution of points inside a sphere of radius R.

    If we assume that R=1000 and I divide it evenly by 100 then there will be 10 points evenly distributed over the coordinates of a single radius, or 20 points over a single diameter. How can I find how many points exist within the whole sphere?

    Is there a formula or an approach that I can use/follow to compute all points that can be evenly distributed in the sphere?

    Thank you in advance for your help!
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  2. #2
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    Re: Computing a uniform distribution of points inside a Sphere !? What is the approac

    Hey Lefteris.

    There are methods for simulating general distributions. You should look at MCMC methods like Metropolis Hastings and Gibbs Sampler:

    Metropolis?Hastings algorithm - Wikipedia, the free encyclopedia

    Gibbs sampling - Wikipedia, the free encyclopedia

    You should also look at the basic theorem that underlies non MCMC generation:

    Inverse transform sampling - Wikipedia, the free encyclopedia
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