Plotting multi-radius spherical mesh

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Daniel
Daniel on 16 May 2014
Answered: Daniel on 19 May 2014
I'm attempting to plot a mesh which represents a sphere sectioned into 12 logitudinal and 22 latitudinal segments. The difficultly is that each of the segments has a different radius to show it's importance. I have used the code below to draw the sphere but can not work out how to impose the importance onto the mesh points. The commented code if used with phi and theta of lengths 12, and 22 respectively gives me points, I however, wanted the whole segment surface.
out=double(int32(rand(22,12)*9));
% phi=linspace(0,pi,12);
% theta=linspace(0,2*pi,22);
phi=linspace(0,pi,13);
theta=linspace(0,2*pi,23);
[phi,theta]=meshgrid(phi,theta);
for i = 1:22
for j=1:12
% x=out.*sin(phi).*cos(theta);
% y=out.*sin(phi).*sin(theta);
% z=out.*cos(phi);
x=out.*sin(phi).*cos(theta);
y=out.*sin(phi).*sin(theta);
z=out.*cos(phi);
end
end
mesh(x,y,z)

Accepted Answer

Daniel
Daniel on 19 May 2014
For any one that is interested I have used the following code to anwser the question;
out=double(int32(rand(22,12)*9));
phi=linspace(0,pi,13);
theta=linspace(0,2*pi,23);
phi=[phi; phi];
theta=[theta; theta];
phi=reshape(phi,1,2*length(phi));
theta=reshape(theta,1,2*length(theta));
[phi,theta]=meshgrid(phi,theta);
r = zeros(size(phi,1),size(phi,2));
for i = 1:12
for j=1:22
r(j*2:j*2+1,i*2:i*2+1) = out(j,i);
end
end
x=r.*sin(phi).*cos(theta);
y=r.*sin(phi).*sin(theta);
z=r.*cos(phi);
mesh(x,y,z)
axis square
axis off
hidden off

More Answers (1)

Daniel
Daniel on 16 May 2014
Edited: Daniel on 16 May 2014
I do belive I have got much closer to the answer, see code below. So the question is how do I manipulate out a [22,12] matrix to scale the X,Y,Z values which are [46,26] matrix of the vertics.
out=double(int32(rand(22,12)*9));
phi2=linspace(0,pi,13);
theta2=linspace(0,2*pi,23);
phi3=[phi2; phi2];
theta3=[theta2; theta2];
phi4=reshape(phi3,1,2*length(phi3));
theta4=reshape(theta3,1,2*length(theta3));
[phi5,theta5]=meshgrid(phi4,theta4);
x=1*sin(phi5).*cos(theta5);
y=1*sin(phi5).*sin(theta5);
z=1*cos(phi5);
mesh(x,y,z)out=double(int32(rand(22,12)*9));

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