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_____________

Question

TuteeHUB · Accepted Answer

t ² f(x,y) [(u+M/2)² (v+N/2)²]F(u,v)

TuteeHUB · Answer

t 2 f(x,y) [(u  M/2)2+ (v  N/2)2]F(u,v)

TuteeHUB · Answer

t 2 f(x,y) -[(u+M/2)2  (v+N/2)2]F(u,v)

TuteeHUB · Answer

t 2 f(x,y) -[(u  M/2)2+ (v  N/2)2]F(u,v)

TuteeHUB · Answer

t 2 f(x,y) [(u+M/2)2  (v+N/2)2]F(u,v)

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.	t <sup>2</sup> f(x,y) [(u M/2)<sup>2</sup>+ (v N/2)<sup>2</sup>]F(u,v)
B.	t <sup>2</sup> f(x,y) -[(u+M/2)<sup>2</sup> (v+N/2)<sup>2</sup>]F(u,v)
C.	t <sup>2</sup> f(x,y) -[(u M/2)<sup>2</sup>+ (v N/2)<sup>2</sup>]F(u,v)
D.	t <sup>2</sup> f(x,y) [(u+M/2)<sup>2</sup> (v+N/2)<sup>2</sup>]F(u,v)
Answer» D. t <sup>2</sup> f(x,y) [(u+M/2)<sup>2</sup> (v+N/2)<sup>2</sup>]F(u,v)

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