NOTE: Apply zero padding for filter operations.

4. Create an image matrix of size 5x5 with random values between 0 and 10. Image matrix rows are x and columns are y coordinates and upper left corner is (0, 0). Find the following: 1 0 1 10 -4 1 1 0 1 1 1 1 1 1 1 1/9 2 1 2 3 1 1 2 1 1/16 2 4 2 1 2 1 Low-pass filter 1 0 1 0 2 0 Mask (M) Average filter Laplacian a) The output of a 3x3 average filter shown above. b) The output of a 3x3 median filter. c) The output of the 3x3 Laplacian filter shown above. d) The output of the 3x3 Low-pass filter shown above. e) City-block distance (D4) from (3,1) to (1,4). f) Chess board distance from (3,1) to (1,4). af af g) gradient magnitude and gradient orientation. h) The result of unsharp-masking at image pixel location (2,2). i) The intensity histogram of the whole image. j) The correlation of f(x,y) with the template defined by mask M. k) The convolution of f(x,y) with the template defined by mask M