How to uniformly sample the surface of a sphere?

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Davide Mori 2020-9-30

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https://ww2.mathworks.cn/matlabcentral/answers/602683-how-to-uniformly-sample-the-surface-of-a-sphere

编辑： Bruno Luong 2021-3-7

Hi,

could someone help me to find a way of generating uniformly distributed samples over the surface of a sphere? I need something like 1400 sample over it. Moreover, I would like to obtain the spherical coordinates of each sample.

Thank you :)

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Answer 1

Bruno Luong 2020-9-30

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https://ww2.mathworks.cn/matlabcentral/answers/602683-how-to-uniformly-sample-the-surface-of-a-sphere#answer_503158

编辑：Bruno Luong 2020-9-30

There are few methods avialable on File exchange such as this one.

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Davide Mori 2020-9-30

在 MATLAB Online 中打开

That's because I was using the function called

function [V,Tri,Ue_i,Ue]=ParticleSampleSphere(varargin)
% Generate an approximately uniform triangular tessellation of a unit 
% sphere by minimizing generalized electrostatic potential energy 
% (i.e., Reisz s-energy) of a system of charged particles. Effectively, 
% this function produces a locally optimal solution to the problem that 
% involves finding a minimum Reisz s-energy configuration of N equally 
% charged  particles confined to the surface of a unit sphere; s=1 
% corresponds to the problem originally posed by J.J. Thomson.

But Maybe I got confused by the alert that said "particle limit exceeded".

Anyway it seems like it returns the vertex of the sphere on both the functions, now I need to understand if I want to choose either one method or the other. What do you suggest?