Question

For a given image having smaller objects, which of the following filter(s), having D0 as the cutoff distance measured from origin of frequency rectangle, would you prefer for a comparably smoother result?

(a) IHLF with D0 15

(b) BHPF with D0 15 and order 2

(c) GHPF with D0 15 and order 2

(d) All of the mentioned

I have been asked this question by my school teacher while I was bunking the class.

This is a very interesting question from Gaussain Lowpass and Sharpening Frequency Domain Filters in division Filtering in Frequency Domain of Digital Image Processing

Answer 1

Right answer is (c) GHPF with D0 15 and order 2

To elaborate: For the same format as for BHPF, GHPF gives a result comparably smoother than BHPF. However, BHPF performance for filtering smaller object is comparable with IHPF.