Question

A transformation function of particular importance in image processing is represented in which of the following form?

(a) s=T(r)=∫0 ^(2r)pr (ω)dω

(b) s=T(r)=∫0 ^(r-1)pr (ω)dω

(c) s=T(r)=∫0 ^(r/2)pr (ω)dω

(d) s=T(r)=∫0 pr (ω)dω

This question was posed to me during an internship interview.

This question is from Histogram Processing in chapter Intensity Transformations and Spatial Filtering of Digital Image Processing

Answer 1

Correct option is (d) s=T(r)=∫0 pr (ω)dω

Easiest explanation: A transformation function of particular importance in image processing has the form: s=T(r)=∫0 ^r pr(ω)dw, where ω is a dummy variable of integration. The right side of is recognized as the cumulative distribution function (CDF) of random variable r.