Problem 2: (20 pts) Let f(x, y) be an image and let h(x, y) be a linear operator such that g(x, y)-f(x,y) * h(x, y)-f(x,y) - f(x,y -1) Express h(x, y) in terms of delta functions. Compute H(u, v), the DFT of h(, ) Compute |H(u,) Sketch H(u, v)l over its principle period. Limit the sketch to just a function of v. . What kind of filter is h(x, y) (low pass, high pass, bandpass)? Problem 3: (20 pts) Consider the following image 0 0 0 3 1 Compute the output of 3 x 3 mean filter . Compute the output of 3 x 3 median filter. Problem 2: (20 pts) Let f(x, y) be an image and let h(x, y) be a linear operator such that g(x, y)-f(x,y) * h(x, y)-f(x,y) - f(x,y -1) Express h(x, y) in terms of delta functions. Compute H(u, v), the DFT of h(, ) Compute |H(u,) Sketch H(u, v)l over its principle period. Limit the sketch to just a function of v. . What kind of filter is h(x, y) (low pass, high pass, bandpass)? Problem 3: (20 pts) Consider the following image 0 0 0 3 1 Compute the output of 3 x 3 mean filter . Compute the output of 3 x 3 median filter