Compute the output of correlation, Applied Statistics

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Q. Compute the output of correlation?

The following figure shows

(a) a 3-bit image of size 5-by-5 image in the square, with x and y coordinates specified,

(b) a Laplacian filter

                        image

y\x

0

1

2

3

4

0

3

7

6

2

0

1

2

4

6

1

1

2

4

7

2

5

4

3

3

0

6

2

1

4

5

7

5

1

2

Compute the following:

(a) The output of correlation of h=[1 1 0] and the first row. Assume the first row as 1-D image.

(b) The output of convolution of h=[1 1 0] at (0,0). Assume the first row as 1-D image.

(c) The output of a 3 × 3 mean filter at (2,2).

(d) The output of a 3 × 3 median filter at (2,2).

(e) The output of the 3 × 3 Laplacian filter shown above at (2,2).


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