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Q:

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)= -(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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