Question

The digitization process i.e. the digital image has M rows and N columns, requires decisions about values for M, N, and for the number, L, of max gray levels is an integer power of 2 i.e. L = 2k, allowed for each pixel. If we assume that the discrete levels are equally spaced and that they are integers then they are in the interval __________ and Sometimes the range of values spanned by the gray scale is called the ________ of an image.

(a) [0, L – 1] and static range respectively

(b) [0, L / 2] and dynamic range respectively

(c) [0, L / 2] and static range respectively

(d) [0, L – 1] and dynamic range respectively

The question was posed to me in semester exam.

My question is from Representing Digital Images in chapter Digital Image Fundamentals of Digital Image Processing

Answer 1

Right answer is (d) [0, L – 1] and dynamic range respectively

The explanation is: In digitization process M rows and N columns have to be positive and for the number, L, of discrete gray levels typically an integer power of 2 for each pixel. If we assume that the discrete levels are equally spaced and that they are integers then they lie in the interval [0, L-1] and Sometimes the range of values spanned by the gray scale is called the dynamic range of an image.