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 M*N, then which of the following is an expression for H(u, v), the filter used for implementing Laplacian in frequency domain?
Options
A : H(u, v)= -(u2+ v2)
B : H(u, v)= -(u2– v2)
C : H(u, v)= -[(u – M/2)2+ (v – N/2)2].
D : H(u, v)= -[(u – M/2)2– (v – N/2)2].
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