Q4) Suppose that you form a low pass spatial filter that averages the 4-neighbors of a point (x, y) as the following: 1 80 y) =10 y +1) +flx + 1, y) +flx, y - 1) +flx - 1, y)] . (a) Prove that the transfer function of the filter is defined as: H 1 2mu o 2y (wv) = 3 [cos N cos N (b) Image g(x,y) is sharpened by the Laplacian operator H as: 8xy)=fixy)+Vf(x,y) 0 -1 0 H=|-1 8 -1 0 -1 0 Prove that: e 90,y) =10[r(xy) - £ F G | fix, v) is the mean of f(x,y) with its four neighboring pixels Q4)Suppose that you form a low pass spatial filter that averages the 4-neighbors ofa point (x, y) as the following:1g(x, y) = If(x, y + 1) + f(x + 1, y) + f(x, y - 1) + f(x - 1, y)] .(a) Prove that the transfer function of the filter is defined as:H(u,v) = |cos2πιCOSN2πν+ cos(b) Image g(x,y) is sharpened by the Laplacian operator H as:g(x,y)=f(x,y)+V?f(x,y)-1H =18.-1-1Prove that:g(x,y) = 10[r(x,y) –C4, ) ]f(x, y) is the mean of f(x,y) with its four neighboring pixels

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Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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Q4) Suppose that you form a low pass spatial filter that averages the 4-neighbors of a point (x, y) as the following: 1 80 y) =10 y +1) +flx + 1, y) +flx, y - 1) +flx - 1, y)] . (a) Prove that the transfer function of the filter is defined as: H 1 2mu o 2y (wv) = 3 [cos N cos N (b) Image g(x,y) is sharpened by the Laplacian operator H as: 8xy)=fixy)+Vf(x,y) 0 -1 0 H=|-1 8 -1 0 -1 0 Prove that: e 90,y) =10[r(xy) - £ F G | fix, v) is the mean of f(x,y) with its four neighboring pixels