Estimate PSF from blurred and unblurred images.

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David - 2022-02-15T10:16:56+00:00
Question: 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?  

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    • Expert Answer

    Profile picture of Neeta Dsouza Neeta Dsouza answered . 2025-11-20

    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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