How is the expression represented for the normalized histogram?(a) p(r_k )=n_k(b) p(r_k )=n_k/n(c) p(r_k)=nn_k(d) p(r_k )=n/n_kThe question was posed to me by my school teacher while I was bunking the class.Question is taken from Histogram Processing in portion Intensity Transformations and Spatial Filtering of Digital Image Processing

How is the expression represented for the normalized histogram?(a) p(r

1.	How is the expression represented for the normalized histogram?(a) p(r_k )=n_k(b) p(r_k )=n_k/n(c) p(r_k)=nn_k(d) p(r_k )=n/n_kThe question was posed to me by my school teacher while I was bunking the class.Question is taken from Histogram Processing in portion Intensity Transformations and Spatial Filtering of Digital Image Processing
Answer» Correct option is (b) p(r_k )=n_k/n To elaborate: It is COMMON practice to NORMALIZE a histogram by dividing each of its values by the TOTAL number of pixels in the image, denoted by n. Thus, a normalized histogram is given by p(rk )=nk/n, for k=0,1,2…..L-1. Loosely SPEAKING, p(rk ) gives an estimate of the probability of occurrence of gray-level rk. Note that the sum of all components of a normalized histogram is EQUAL to 1.

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