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Given the following gray level histogram of an image. Compute the gray levels after histogram equalization.

Given the following gray level histogram of an image. Compute the gray levels after histogram equalization.

Gray Level 0 1 2 3 4 5 6 7
Frequency 200 500 40 600 800 60 1800 1000

SOLUTION

Gray Value Frequency(n) Probability (n/sum n) Cumulative (sr) Sr*(L-1) Round Off
0 200 0.04 0.04 0.04*(8-1) =0.28 0
1 500 0.1 0.14 0.98 1
2 40 1\125 0.148 1.036 1
3 600 0.12 0.268 1.876 2
4 800 0.16 0.428 2.996 3
5 60 0.012 0.44 3.08 3
6 1800 0.36 0.8 5.6 6
7 1000 0.2 1 7 7
  Sum=5000 Sum=1      

Gray Level after histogram equalization

Gray Value Frequency(n)
0 200
1 540
2 600
3 860
6 1800
7 1000

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