How to plot equally distributed points on 1/8th part of Spherical surface?

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Mukund
Mukund 2018 年 11 月 1 日
コメント済み: Mukund 2018 年 11 月 1 日
x=0:1 y=0:1 z=0:1
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Walter Roberson
Walter Roberson 2018 年 11 月 1 日
Equally distributed with respect to what? Surface area or angle?
Mukund
Mukund 2018 年 11 月 1 日
With respect to angle from origin

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回答 (1 件)

John D'Errico
John D'Errico 2018 年 11 月 1 日
編集済み: John D'Errico 2018 年 11 月 1 日
Your rather confusing question PROBABLY implies you want to plot points that are equally distributed on the surface of a unit sphere, but only in the first quadrant in R^3. In fact, the phrase equally distributed is mathematically meaningless. So I can only presume that you meant uniformly distributed.
The trivial solution is just
X = abs(randn(1000,3));
X = X./sqrt(sum(X.^2,2));
Each row of X is one point. Plot as:
plot3(X(:,1),X(:,2),X(:,3),'.')
box on
grid on
This is my best guess as to what you wanted to do.
Note that it will fail if your MATLAB release is older than R2016b. You can fix that using baxfun in the second line.
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Mukund
Mukund 2018 年 11 月 1 日
Yes this is expected. However, Is it possible to get them equidistant w.r.t. uniform rays emanating from origin.

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