David asked . 2022-02-15

Estimate PSF from blurred and unblurred images.

I have a blurred image and I want to estimate the Point Spread Function (PSF) that blurred the image. I also have a sharp un-blurred image. I don't need to de-blur the blurred image, I just need the PSF.
 
Can anyone suggest a function or other method that makes use of the blurred and the sharp image to estimate the PSF?
 
I've experimented a lot with Matlab's blind deconvolution function as well as a few others like those by Fergus et al. and Prateek Garg, and these do estimate the PSF from the blurred image. But I keep thinking there must be a better way that makes use of the sharp image and perhaps improves performance?
 

image processing , matlab

Expert Answer

Neeta Dsouza answered . 2024-04-13 16:14:27

What do the theories tell you?
 
blurredImage = originalImage * * psf (Convolution)
 
In the Fourier domain:
 
blurredImageFT = originalImageFT * psfFT (Multiplication)
 
so
 
psfFT = blurredImageFT / originalImageFT
 
psf = inverseFT(blurredImageFT / originalImageFT)
 
It's essentially the inverse filter except that you're finding the psf instead of the original image. So code that up and see what happens.
 


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