How can I apply an auto-correlation to a Radon Transformation?

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Andrei 2013-10-10

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评论： Matt J 2013-10-14

I have the following code

I = imread('img.jpg');
I = rgb2gray(I);
theta = 1:180;
[R,xp] = radon(I,theta);

how can I apply auto-correlation on this radon transformation on an image?

I have the following formula for auto-correlation which I want to apply:

where g(s,0) is the radon transformation. How can I implement this in Matlab? or is there an equivalent function that I can use?

Thank you in advance!

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Answer 1

Matt J 2013-10-10

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编辑：Matt J 2013-10-10

Just apply conv() or xcorr(), if you have it, to each of the columns of R. A simple for-loop will do.

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Andrei 2013-10-11

Thanks for the reply!

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Answer 2

Matt J 2013-10-10

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编辑：Matt J 2013-10-10

在 MATLAB Online 中打开

You can also use Fourier methods, something like

c=ifft( fft(R).*conj(fft(R)) )
c=bsxfun(@rdivide,c,sum(R.^2,1));

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Bjorn Gustavsson 2013-10-14

Just shooting from the hip on this one. In principal the results should be the same, within numerical accuracies- but if you use xcorr it might give you some default weigthing of the different lags.

Matt J 2013-10-14

The correlation/convolution, when implemented using ffts, is circulant. You will have to zero pad to make it equivalent to linear convolution.

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