Question

Using the feature of reciprocal relationship of filter in spatial domain and corresponding filter in frequency domain, which of the following fact is true?

(a) The narrower the frequency domain filter results in increased blurring

(b) The wider the frequency domain filter results in increased blurring

(c) The narrower the frequency domain filter results in decreased blurring

(d) None of the mentioned

I had been asked this question in class test.

This intriguing question originated from Filtering in Frequency Domain topic in chapter Intensity Transformations and Spatial Filtering of Digital Image Processing

Answer 1

Correct answer is (a) The narrower the frequency domain filter results in increased blurring

Explanation: The characteristics feature of reciprocal relationship says that the narrower the frequency domain filter becomes it attenuates more low frequency component and so increases blurring.