Question

Validate the statement:

(a) , to sample the function we take equally spaced samples, superimposed on the function, along a horizontal line. However, the sample values still span (vertically) a continuous range of gray-level values. So, to convert the given function into a digital function, the gray-level values must be divided into various discrete levels.”

(b) True

(c) False

I had been asked this question in homework.

This intriguing question originated from Basics Of Image Sampling & Quantization topic in section Digital Image Fundamentals of Digital Image Processing

Answer 1

Right answer is (a) , to sample the function we take equally spaced samples, superimposed on the function, along a horizontal line. However, the sample values still span (vertically) a continuous range of gray-level values. So, to convert the given function into a digital function, the gray-level values must be divided into various discrete levels.”

For explanation I would say: Digital function requires both sampling and quantization of the one-dimensional image function.