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. d) The output of the 3x3 Low-pass filter shown above.

2. e) City-block distance (D4) from (3,1) to (1,4).

3. f) Chess board distance from (3,1) to (1,4).

4. g) gradient magnitude and gradient orientation.

5. h) The result of unsharp-masking at image pixel location (2,2).

6. i) The intensity histogram of the whole image

7. j) The correlation of f(x,y) with the template defined by mask M.

8. k) The convolution of f(x,y) with the template defined by mask M.

1 2 1 1/9 1 2 1 11 1 1 1 1 0 1 0 1 -4 | 1 0 1 0 1/16 4 2 1 | 2 1 0 3 2 2 1 0 Mask (M) 1 1 2 1 Average filter Laplacian Low-pass filter of af