a) Find the linear mapping from a location m' in the transformed image to the location x in the original image. That is, derive a function that given m', computes X. The transformed image measures M' pixels and the original image measures M pixels. Note that M' can be greater than or less than M. Your mapping should have the following form x=r(m)= 4(m'-C)+D . where the constants A, B, C, D are determined from the following constraints: The left boundary of the transformed image should map to the left boundary of the original image. . The right boundary of the transformed image should map to the right boundary of the original image. Locations in between should be mapped linearly (proportionally). (One way to check if you have the correct equation is to see whether it satisfies the first two constraints above.) Note that the linear equation above really only has two constants and could be written as x -t(m)= Am'+B. I provided the four-constant version above to help you think about how to incorporate the constraints (that form helps me, at least. You can use either form in your answer. Note that x typically won't be integer valued (that is, it won't fall on a pixel location in the original image) even if m' is integer valued