MATLAB: How to generate random point inside a sphere

sphere

I am trying to generate random points inside a sphere given the radius and the center. If anyone has a sample code or can help me with this, thanks for the help.

Best Answer

R = 3;    % radius of the sphere
Xc = 4;
Yc = -4;
Zc = pi;  % (Xc,Yc,Zc) center of the sphere
rval = 2*rand(1)-1;
elevation = asin(rval);
azimuth = 2*pi*rand(1);
radius = R*(rand(1))^(1/3);
[x,y,z] = sph2cart(azimuth,elevation,radius);
x=x+Xc
y=y+Yc
z=z+Zc

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Do you mean something like this:

% length, width and height of box
L = 3; W = 2; H = 1;
% pick plenty of random points
x = L*rand(1,100); %x-coordinate of a point
y = W*rand(1,100); %y-coordinate of a point
z = H*rand(1,100); %z-coordinate of a point
scatter3(x, y, z, 'MarkerFaceColor','b','MarkerEdgeColor','b');
box

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