Question

 Perform histogram equalization for the following histogram.

Gray level 0 1/7 2/7 3/7 4/7 5/7 6/7 7/7
Number of occurrences 400 700 800 900 500 400 196 200

 

09 Jan 2026
Answer :
Word Count : 325
The given histogram has eight discrete gray levels from 0 to 7/7 with corresponding numbers of occurrences. The total number of pixels is obtained by summing all occurrences, which gives 4096 pixels. The probability of occurrence for each gray level is found by dividing the number of occurrences at that level by 4096. Thus, the probabilities are 400/4096, 700/4096, 800/4096, 900/4096, 500/4096, 400/4096, 196/4096, and 200/4096 respectively. The cumulative distribution function is obtained by successively summing these probabilities. For gray level 0, the cumulative probability is 400/4096 ≈ 0.0977. For 1/7
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