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The grey distribution of an image is shown in the table below. Perform histogram equalization and plot the original and equalized histogram.
1 Answer
written 8.3 years ago by |
We draw the original histogram of the image.
Here L=8, we now perform histogram equalization.
Grey level | $n_k$ | PDF,Pr(k) = n,Σn | CDF,Sk =Σpr(k) | Sk x(L-1),i.e. sk x 7 | Round off |
---|---|---|---|---|---|
0 | 0 | 0 | 0 | 0 | 0 |
1 | 50 | 0.05 | 0.05 | 0.35 | 0 |
2 | 100 | 0.1 | 0.15 | 1.05 | 1 |
3 | 200 | 0.2 | 0.35 | 2.45 | 2 |
4 | 400 | 0.4 | 0.75 | 5.25 | 5 |
5 | 200 | 0.2 | 0.95 | 6.65 | 7 |
6 | 50 | 0.05 | 1 | 7 | 7 |
7 | 0 | 0 | 1 | 7 | 7 |
Σn=1000 |
Consider the 1st , 2nd and last column
Hence the equalized frequency table is
Grey level | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
---|---|---|---|---|---|---|---|---|
$nk$ | 50 | 100 | 200 | 0 | 0 | 400 | 0 | 250 |