Question

Which of the following fact(s) is/are true for the relationship between high frequency component of Fourier transform and the rate of change of gray levels?

(a) Moving away from the origin of transform the high frequency corresponds to smooth gray level variation

(b) Moving away from the origin of transform the higher frequencies corresponds to abrupt change in gray level

(c) All of the mentioned

(d) None of the mentioned

I had been asked this question in an interview for internship.

My query is from Filtering in Frequency Domain topic in chapter Intensity Transformations and Spatial Filtering of Digital Image Processing

Answer 1

The correct choice is (b) Moving away from the origin of transform the higher frequencies corresponds to abrupt change in gray level

Explanation: Moving away from the origin of transform the low frequency corresponds to the slowly varying components in an image. Moving further away from origin the higher frequencies corresponds to faster gray level changes.