from Change Image Coordination by Marco Chak Yan Yu
Change image coordinate from standard image coordinate to polar coordinate, vice versa.

polar2image(IMR,ROT,rrange,rbin,thetabin)
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function IM = polar2image(IMR,ROT,rrange,rbin,thetabin)
% Transform Image Matrix from (Radius,Degree) Coordinate to (Left-Right,Top-Down) Coordinate

if nargin <2
    ROT = 'counterclockwise';
    rrange = [1 size(IMR,1)];
    rbin = 1;
    thetabin = pi/180/4;
elseif nargin <3
    rrange = [1 size(IMR,1)];
    rbin = 1;
    thetabin = pi/180/4;
elseif nargin <5
    rbin = 1;
    thetabin = pi/180/4;
end

if strcmp(ROT,'clockwise')
    for i = 1:size(IMR,3)
        IMR(:,:,i) = fliplr(IMR(:,:,i));
    end
end

i = 1; j = 1;
for x = -ceil(rrange(2)):1:ceil(rrange(2))
    for y = ceil(rrange(2)):-1:-ceil(rrange(2))
        [theta r] = cart2pol(x,y);
        if theta<0; theta = (2*pi+theta); end;
        if (round((r-rrange(1))/rbin)<=size(IMR,1))&(round((r-rrange(1))/rbin)>0)
            IM(i,j,:) = IMR(round((r-rrange(1))/rbin),max(1,ceil(theta/thetabin)),:);
        else
            IM(i,j,:) = zeros(1,1,size(IMR,3));
        end
        i = i+1;
    end
    i = 1;
    j = j+1;
end



end

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