How do I display a polar coordinates image in Cartesian?

I have an RGB color image which is in polar coordinates (RGB as a function of theta and rho). I want to display this image in Cartesian coordinates.

Answer 1

[MathWorks Support Team]

For a simple example, if rho is the following 2D array:

rho =
        0    0.2000    0.4000    0.6000    0.8000    1.0000
        0    0.2000    0.4000    0.6000    0.8000    1.0000
        0    0.2000    0.4000    0.6000    0.8000    1.0000
        0    0.2000    0.4000    0.6000    0.8000    1.0000
        0    0.2000    0.4000    0.6000    0.8000    1.0000
        0    0.2000    0.4000    0.6000    0.8000    1.0000
        0    0.2000    0.4000    0.6000    0.8000    1.0000

and theta is the following 2D array:

theta =
    0     0     0     0     0     0
   15    15    15    15    15    15
   30    30    30    30    30    30
   45    45    45    45    45    45
   60    60    60    60    60    60
   75    75    75    75    75    75
   90    90    90    90    90    90

Here is the example code:

[rho, theta] = meshgrid(0:0.2:1.0,0:15:90);
[X Y] = pol2cart(theta*pi/180,rho);
S = surf(X,Y,ones(size(X))); 
Picture = imread('autumn.tif');
set(S,'FaceColor','Texturemap','CData',Picture);
view(2);

Type

doc cart2pol

or

doc function_name

in the MATLAB command window for more information of the commands used in the example code.

For more information on the surface properties, please look at the following URL:

https://www.mathworks.com/help/matlab/ref/matlab.graphics.primitive.surface-properties.html

For a transition from Cartesian coordinates to polar or cylindrical, review the following function:

https://www.mathworks.com/help/matlab/ref/cart2pol.html