1. Derive the intensity transformation function, s=T(r) such that the input image with pdf, p(r)=1er is transformed to an output image with, pdf, p(s)=1/L1; where r is the intensity variable of input image and s is the intensity variable of the transformed image and L=28. [10] 2. Write a function, hist 0 to compute the histogram of an image variable, x (in python, x is a two dimensional byte array ) [10] 10. a) What is homomorphic filtering used for in images? b) Describe homomorphic filtering applied to image function f(x,y) given its intensity function is i(x,y) and reflection is r(x,y) [8]