Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN: 9780133594140
Author: James Kurose, Keith Ross
Publisher: PEARSON
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Q4: (A)-For the following image f and the structuring element b, perform the morphological operation
(erosion and dilation) for the shaded pixel.
O.
11
13
12
14
10 13 10
11
12
14 10
12
9
10
11
11
1
1
5
1
1
b
1
5
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Transcribed Image Text:Q4: (A)-For the following image f and the structuring element b, perform the morphological operation (erosion and dilation) for the shaded pixel. O. 11 13 12 14 10 13 10 11 12 14 10 12 9 10 11 11 1 1 5 1 1 b 1 5
Expert Solution
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Step 1: Erosion

Erosion

Erosion is a morphological operation that shrinks the boundaries of objects in an image. It is performed by moving a structuring element over the image and comparing the value of the center pixel to the values of the pixels in the structuring element. If the value of the center pixel is less than or equal to the values of all the pixels in the structuring element, then the center pixel is set to 0. Otherwise, the center pixel remains unchanged.

In this case, the shaded pixel is 10. The structuring element is a 3x3 square with all 1s. When the structuring element is moved over the shaded pixel, the value of the center pixel (10) is less than or equal to the values of all the pixels in the structuring element (1s). Therefore, the shaded pixel is set to 0.

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