How can I convert an image to polar coordinates ?

Hi I have attached the lena image, and I wanted to convert this image to polar coordinates. Could anyone guide me.

Thanks.

Answer 1

[Meg Noah]

I'm not really sure what you're trying to accomplish, but if it is to have a set of 2D arrays that represent the distance from the image center (radius) and the angle subtended by a central X, Y system to that pixel, then:

clc
close all
clear all

[img,cmap] = imread('lena.png');
img = img(:,:,1);
[ny,nx] = size(img);

% since there are an even number of columns and rows...
y1d = -ny/2+1/2:-1/2+ny/2;
x1d = -nx/2+1/2:-1/2+nx/2;
[X2D,Y2D] = meshgrid(x1d,y1d);

figure()
imagesc(x1d,y1d,img);

[theta2D,radius2D] = cart2pol(X2D,Y2D);

Answer 2

[Walter Roberson]

https://www.mathworks.com/matlabcentral/fileexchange/17933-polar-to-from-rectangular-transform-of-images