A medical imaging system has a geometric distortion, which is well modeled as...

A medical imaging system has a geometric distortion, which is well modeled as

Where x and y are the coordinates in the image plane and are coordinates in the physical domain.

(a) If we take measurements on rectangular grids in the image plane, find a way to correct the geometric distortion.

(b) If we want to take measurements on rectangular grids in the physical domain, on what points should we take measurements in the image domain?