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 M*N, then which of the following is an expression for H(u, v), the filter used for implementing Laplacian in frequency domain?
(a) H(u, v)= -(u^2+ v^2)
(b) H(u, v)= -(u^2– v^2)
(c) H(u, v)= -[(u – M/2)^2+ (v – N/2)^2].
(d) H(u, v)= -[(u – M/2)^2– (v – N/2)^2].
This question was posed to me in an interview for internship.
My doubt is from Laplacian in Frequency Domain in division Image Enhancement of Digital Image Processing