I have an image which is generated by convolution between (1) a simple small patch and (2) larger image composed of localized point-like features (e.g. slat-and-pepper noise, sum of shifted $\delta$-functions).
In other words the image seems like the patch (1) stamped at random locations without any affine transforms.
I would like to find out what is the stamp in order to eventually conduct de-convolution.
signal/image processing is not my profession, so I don't know if this fast is easy and solved long time a go, or if it is still difficult. But I guess it is easier than what is done in image processing today e.g. here or here since at least I don't need to consider any affine transforms.