Generate N random uniformly distributed points in the d-ball

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christina
christina on 10 Jan 2019
Answered: Moreno, M. on 20 Mar 2022
How to generate N random uniformly distributed points in the d - ball

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Answers (2)

Bruno Luong
Bruno Luong on 10 Jan 2019
Edited: Bruno Luong on 10 Jan 2019
d = 3
n = 10000;
% s is (d x n), n points in unit d-ball
s = randn(d,n);
r = rand(1,n).^(1/d);
c = r./sqrt(sum(s.^2,1));
s = bsxfun(@times, s, c);
Moreno, M.
Moreno, M. on 20 Mar 2022
https://uk.mathworks.com/matlabcentral/fileexchange/108374-uniformly-distributed-points

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