Generating points on flattened sphere

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Ghulam Murtaza 2016-8-27

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https://ww2.mathworks.cn/matlabcentral/answers/301104-generating-points-on-flattened-sphere

评论： John D'Errico 2016-8-28

hi i am new in matlab I have a flattened sphere x1^2+0.01*x2^2+x3^2=1; I have code but it does not give exact results.

function A = rand_pick_sphere(n,a,b,X,Y,Z)
% Uniform points in a shell of inner radius a, outer radius b and center at
% (X,Y,Z)
% [x,y,z] = rand_pick_sphere(300,.5,.6);  % 300 points in shell between 
% r = .5 and r = .6, with center at origin.
if nargin==3
 X = 0;
 Y = 0;
 Z = 0;
end
r1 = (rand(n,1)*(b^3-a^3)+a^3).^(1/3);
phi1 = acos(-1 + 2*rand(n,1));
th1 = 2*pi*rand(n,1);
% Convert to cart.
x = r1.*sin(phi1).*sin(th1) + X
y = r1.*sin(phi1).*cos(th1) + Y
z = r1.*cos(phi1) + Z
A=[x y z];