LAPLACE OPERATOR.ppt [Lecture seule]

LOG filter (Laplacian of Gaussian)Generally,Here,which givesIt can be shown that:g(x,y) = f(x,y) ∗h(x,y)h(x,y)g(x,y)=∇2G(x,y)2=∇ ∗G(x,y) f(x,y){ ∇ 2 G(x,y) } ∗ f(x,y) =∇ 2{ G(x,y) ∗f(x,y)}This is equivalent to LP-filtering by Gaussianfollowed by HP-filtering by Laplacian.