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The Laplacian in frequency domain is simply implemented by using filter __________(a) H(u, v)= -(u^2– v^2)(b) H(u, v)= -(1)(c) H(u, v)= -(u^2+ v^2)(d) none of the mentionedI got this question by my college professor while I was bunking the class.My doubt stems from Laplacian in Frequency Domain topic in section Image Enhancement of Digital Image Processing

Answer»

Right option is (c) H(u, v)= -(u^2+ v^2)

EASY EXPLANATION: LAPLACIAN in FREQUENCY domain is: I[(∂^2 f(x,y))/∂x^2 +(∂^2 f(x,y))/∂y^2 ]= -(u^2+v^2)F(u,v), where ℑ is the Fourier transform operator and F(u, v) is Fourier transformed function of f(x, y) and -(u^2+ v^2) is the filter.



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