Image translation using fourier transform

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I have shifted an image by certain pixels in the Fourier (frequency) domain and brought it back to the time domain. My question is if the noise associated with my image before translation is same as the noise associated with it after translation.

Answers (1)

Rafael S.T. Vieira
Rafael S.T. Vieira on 1 Jun 2020
Edited: Rafael S.T. Vieira on 1 Jun 2020
It depends on how you are performing the shift. Why don't you just measure it using psnr?
>>psnr(image_after, image_before)
If the two images, before and after some operation, are equal, the function psnr will return Inf.
  6 Comments
Asrith Pyla
Asrith Pyla on 5 Jun 2020
Is there a way to measure noise power in MATLAB
Rafael S.T. Vieira
Rafael S.T. Vieira on 5 Jun 2020
Edited: Rafael S.T. Vieira on 5 Jun 2020
The Signal Processing Toolbox seems to have some functions for it, Asrith, but since I still don't have such Toolbox, I can't give you a more accurate answer. https://www.mathworks.com/help/signal/spectral-analysis.html (That's assuming we have the data obtained by some device such as a Psophometer).

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