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. a) The output of a 3x3 average filter shown above.

2. b) The output of a 3x3 median filter.

3. c) Theoutputofthe3x3Laplacianfiltershownabove.

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

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

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

7. gradient magnitude and gradient orientation.

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

9. i) The intensity histogram of the whole image.

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

11. k) Theconvolutionoff(x,y)withthetemplatedefinedbymaskM.

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 " 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