MATLAB: Convert data plot from Cartesian to spherical coordinates

carteesian to sphericalcoordinate transform

I have data plot shown below where the 'x' and 'y' coordiantes corresponds to the cartessian coordinates sin(theta) cos(phi) and sin(theta) sin(phi). I would like to obtain a plot where the 'x' and 'y' coordinates are theta and phi. Is there a command in Matlab that performs this coordinate transformation? theta and phi are the spherical coordinates.

Best Answer

See if the cart2sph function will do what you want.

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MATLAB: Plotting multi-radius spherical mesh

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

MATLAB: Plotting antenna field patterns in spherical coordinates

Why do you think your array needs to be square? Mesh, surf, etc. will accept any gridded data. Assuming your A values represent the radius at any given theta and phi:

 theta = linspace(0, pi, 90);
 phi = linspace(0, 2*pi, 46);
 [theta, phi] = meshgrid(theta, phi);
 A = ones(size(theta));
 [x,y,z] = sph2cart(theta, phi, A);
 mesh(x,y,z)

Is this what you're after?

Best Answer

Related Solutions

MATLAB: Plotting multi-radius spherical mesh

MATLAB: Plotting antenna field patterns in spherical coordinates

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