Consider a 5X5 image patch: (a) For the image patch in Figure 1 at the pixel at

Question

Consider a 5X5 image patch:

(a) For the image patch in Figure 1 at the pixel at the center (that is the pixel marked in bold face) apply the following filters and round to the nearest integer value:
i. a 3 × 3 Gaussian filter:

ii. a 3×3 Box filter (that is averaging in a 3×3 neighborhood).

. Fitering (5u pts) Consider a 5X5 image patch: 9 10 9 4 3 57 893 4 5 6 8 5 3 4 56 8 2 3 456 Figure 1: Image patch (a) For the image patch in Figure 1 at the pixel at the center (that is the pixel marked in bold face) apply the following filters and round to the nearest integer value: i, a 3 × 3 Gaussian filter: 1 21 242 1 21 1/16 ii. a 3x3 Box filter (that is averaging in a 3x3 neighborhood)

Explanation / Answer

1.

Ig =

     5     6     6     4     2
     5     7     8     7     4
     3     5     6     7     5
     3     4     5     6     5
     2     3     3     4     4

2.

Iavg =

     3     5     5     4     2
     4     7     7     6     4
     3     5     6     6     4
     2     4     5     6     4
     1     2     3     4     3

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