Model that learns geometric representations in images

I am trying to design a model that can convert an image from one representation to another. I do not know how feasible this idea is and would like some feedback on possible approaches.

The simplified version of my problem is to have a model receive many images that are in the shape of a circle (as in the left part of the image attached) and learn to convert to the image on the right where all lines are straight. …

deeplearning design feedback image images representation simplified