Computing the Fourier transform of the Laplacian result in spatial domain is equivalent to multiplying the F(u, v), Fourier transformed function of f(x, y) an input image of size M*N, and H(u, v), the filter used for implementing Laplacian in frequency domain. This dual relationship is expressed as Fourier transform pair notation given by_____________
(a) ∇^2 f(x,y)↔[(u –M/2)^2+ (v –N/2)^2]F(u,v)
(b) ∇^2 f(x,y)↔-[(u+M/2)^2– (v+N/2)^2]F(u,v)
(c) ∇^2 f(x,y)↔-[(u –M/2)^2+ (v –N/2)^2]F(u,v)
(d) ∇^2 f(x,y)↔[(u+M/2)^2– (v+N/2)^2]F(u,v)
This question was posed to me by my school principal while I was bunking the class.
The origin of the question is Laplacian in Frequency Domain topic in section Image Enhancement of Digital Image Processing