Image f1(x, y), x = 1, . . . , M=100 , y = 1, . . . , N=50 , Provide transformation function for performing the following operations:

a) First translation (-M/2, -N/2);

b) Then perform counter clock rotation (45 ) on the image

c) Translation (M/2, N/2);

d) Combine the three transformations into one translation matrix

This is a Digital Image Processing class for Computer Science.

please explain as much as possible Thanks!