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Histogram Equalization. Obtain a plot of original as well as Equalized Histogram

written 8.4 years ago by teamques10 ★ 68k

•   modified 4.5 years ago

Grey levels	0	1	2	3	4	5	6	7
No of pixels	100	90	50	20	0	0	0	0

image processing

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written 8.4 years ago by teamques10 ★ 68k

Histogram Equalization Transformation function is defined as:

$S_k =\sum_{j=0}^k P_r r_j$

where $r_k$ and $s_k$ are normalized input and output gray values

Input gray value	Normalized input	Frequency $N_{rk}$	PDF $P_r = N_{rk}/N$	CDF $S_k = \sum P_r$	Output gray value,$S_k$(CDFx7)
0	0	100	0.384	0.84	0.2688=3
1	1/7	90	0.346	0.73	5.11=5
2	2/7	50	0.192	0.922	6.944=7
3	3/7	20	0.077	1	7
4	4/7	0	0	1	7
5	5/7	0	0	1	7
6	6/7	0	0	1	7
7	1	0	0	1	7
-	-	N = 260	-	-	-

Histogram of input image:

Histogram of output image:

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