Question

Assuming that the origin of F(u, v), Fourier transformed function of f(x, y) an input image, has been correlated by performing the operation f(x, y)(-1)x+y prior to taking the transform of the image. If F and f are of same size, then what does the given operation is/are supposed to do?

(a) Resize the transform

(b) Rotate the transform

(c) Shifts the center transform

(d) All of the mentioned

This question was posed to me in examination.

The doubt is from Laplacian in Frequency Domain topic in division Image Enhancement of Digital Image Processing

Answer 1

Right choice is (c) Shifts the center transform

For explanation I would say: The given operation f(x, y)(-1)x+y shifts the center transform so that (u, v)=(0,0) is at point (M/2, N/2) for F and f of same size M*N.