Question

Histogram equalization or Histogram linearization is represented by of the following equation:

(a) sk =∑^k j =1 nj/n   k=0,1,2,……,L-1

(b) sk =∑^k j =0 nj/n   k=0,1,2,……,L-1

(c) sk =∑^k j =0 n/nj   k=0,1,2,……,L-1

(d) sk =∑^k j =n nj/n   k=0,1,2,……,L-1

I have been asked this question in a national level competition.

The origin of the question is Histogram Processing topic in portion Intensity Transformations and Spatial Filtering of Digital Image Processing

Answer 1

Right choice is (b) sk =∑^k j =0 nj/n   k=0,1,2,……,L-1

The best explanation: A plot of pk_ (rk) versus r_k is called a histogram .The transformation (mapping) given in sk =∑^k j =0)k nj/n k=0,1,2,……,L-1 is called histogram equalization or histogram linearization.