How to uniformly sample the surface of a sphere?

조회 수: 15 (최근 30일)
Davide Mori
Davide Mori 2020년 9월 30일
편집: Bruno Luong 2021년 3월 7일
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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Bruno Luong
Bruno Luong 2020년 9월 30일
편집: Bruno Luong 2020년 9월 30일
There are few methods avialable on File exchange such as this one.
  댓글 수: 4
Davide Mori
Davide Mori 2020년 9월 30일
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?
Bruno Luong
Bruno Luong 2020년 9월 30일
I can't suggest anything relevant without knowing what you intend to do with the points.

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Gary Cofer
Gary Cofer 2021년 3월 5일
편집: Bruno Luong 2021년 3월 7일
For a realtime acqusition of data that can be cut short, a 3D Halton series works very well.

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