Perform Histogram Equalization for the 88 image shown below: Image Gre

Question

Perform Histogram Equalization for the 8 $\times$ 8 image shown below: Image Grey Level Distribution.

Grey Levels (r^k)	Number of pixels (p_k )
0	8
1	10
2	10
3	2
4	12
5	16
6	4
7	2

01 Dec 2023

Answer :

Word Count : 640

To perform histogram equalization on the given 8×8 image, we need to adjust the grey levels of the image in such a way that the resulting histogram has a more uniform distribution of pixel values. The process involves several steps:

Step 1: Calculate the Probability Distribution

Given the grey levels rkr_k and the corresponding number of pixels pkp_k, the total number of pixels NN in the image is calculated as the sum of all pixel counts:

N=8+10+10+2+12+16+4+2=64N = 8 + 10 + 10 + 2 + 12 + 16 + 4 + 2 = 64

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Symbol:	1	2	3	4	5	6
Huffman code:	0	10	110	1110	11110	111111
Binary code:	000	001	010	011	100	101
Probability:	0.4	0.2	0.2	0.1	0.05	0.05