Consider an MXN pixel gray-scale image f(x, y) with the image intensity given below: y =yo, 0 xM-1 f(x, y)= otherwise where c is a constant between 0 and 255 and yo is a constant between 0 and N -1. Answer the questions below. a) Plot the image intensity f(x, y). Clearly label the axes. (2 points) b) Find the M x N point Discrete Fourier Transform (DFT) of f(x, y), where the DFT is given below. (6 points) F(u, v) (c, (0, M-1 N-1 1 = MN f(x, y)e-127(M+DV) x=0 y=0 The geometric series can be used to simplify the solution: L-1 k=0 ak = 1-a 1- a |a| 1 c) Plot the magnitude of F(u, v). Clearly label the axes. (2 points)