10 1 1 2. (10 points) For the filter h(s, t) given by h(s, t) = 20 , -2 the upper left pixel 1 0 is assumed to have indices (-1, -1). a.) Explicitly write the output image g(m,n) as a sum of scaled and shifted input images. Assume that the input image size is much larger than 3 3 and that only valid outputs will be computed to describe the output image for the input images described below. b.) f(m,n) = 8(m 4, n 7) = - c.) f(m, n) 8(m-4,n7) + d.) f(m,n) = 8(m 4, n 7) + 8(m 4, n 8) 8(m 5, n 7) - 3. (15 points) Using the filter from the previous problem, assume that the input image size is 50 50 and that only valid outputs will be computed to describe the output image for the input images described below. (40 if m = 25 a.) f(m, n) = (90 if m 25 b.) f(m, n) = (40 if m 25 if m < 25 (40 if n < 25 c.) f(m, n) = (90 if n 25