Removal of image blur caused by uniform linear motion

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Greetings!
I need to implement an algorithm for removing image blur caused by motion in one direction only.
It can be called as Deconvolution along one axis.
For example, there is an image of a star which has been moved either along x-axis or y-axis, the program should be able to recontruct original image of the star.
The algorithm for doing so is presented in the book "Digital Image Processing" by Gonzalez. The pdf is also attached.
In particular, I need to implement the equation 5.4-36 and test the program on Figure 5.4. to get similar results.
This is the specific case of deconvolution which must be done without using FFT (Fast Fourier Transform) or filtering.
Can someone guide me through the implementation process?
Or if it is already implemented, kindly direct me towards that. I have searched a lot but could not find the solution yet.
Any help would be highly apprecited. Thank you.
  1 Comment
Star Strider
Star Strider on 9 Feb 2021
The documentation section on imfilter specifically addresses the motion artifact problem.
I am not posting this as an Answser because I do not have the necessary experience with this procedure to guide you through it if you have problems implementing it with your images.

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Answers (1)

Pratheek Punchathody
Pratheek Punchathody on 12 Feb 2021
Edited: Pratheek Punchathody on 12 Feb 2021
As per my understanding you want to implement an algorithm for removing image blur caused by motion in one direction only. It can be called as Deconvolution along one axis. Refering to the documentation on Deblurring Images Using the Blind Deconvolution Algorithm and "deconvblind()" function will help you in finding solution.

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