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An enhanced image can be obtained as: g(x,y)=f(x,y)-∇^2 f(x,y), where Laplacian is being subtracted from f(x, y) the input image of size M*Non which an operation f(x, y)(-1)x+yis applied.Unlike enhancing in spatial domain with one single mask, it is possible to perform the same in frequency domain using one filter. Which of the following is/are the required filter(s)?(a) H(u, v)= -[1 + u^2+ v^2].(b) H(u, v)= -[(u – M/2)2+ (v– N/2)2].(c) H(u, v)= [1 + (u – M/2)2+ (v – N/2)2].(d) All of the mentionedI got this question in exam.Origin of the question is Laplacian in Frequency Domain in portion Image Enhancement of Digital Image Processing

Answer»

The correct option is (c) H(u, V)= [1 + (u – M/2)2+ (v – N/2)2].

To elaborate: The filter H(u, v)= [1 + (u – M/2)2+ (v – N/2)2] is used to perform the same enhancement in frequency DOMAIN LIKE in SPATIAL domain.



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