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Calculating convolution kernel Estimating Convolution Kernel from originalInput and convolved imageOutput Images

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Calculating convolution kernel from original and convolved image

Given an original image and a convolved version of it, I need to calculate the convolution kernel. For example, given:

original image

and

convolved image

I would like to calculate the convolution kernel that generated the second image from the first (a gaussian in this case).

The images will be similar to the example, but I can change the configuration slightly to make the process easier (change the shape, have a number of shapes etc.)