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Suppose I have an image A. Is it possible to construct an image A' from A so I can get the original A after applying gaussian blur (or other convolution kernels) on A'? If it's possible, how to do it?

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    $\begingroup$ in the frequency domain, you would divide by the Gaussian filter response; then applying the Gaussian blur would get you back to the original image; there are issues with the stability of the procedure, but this is the basic idea. $\endgroup$ Commented Sep 14, 2022 at 20:53

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