1.

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)
Answer» D. ∇2 f(x,y)↔[(u+M/2)2– (v+N/2)2]F(u,v)


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