The Laplacian operator and the Laplacian of Gaussian (LOG) are defined as follows: az 21=3x+1, and...

 

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The Laplacian operator and the Laplacian of Gaussian (LOG) are defined as follows: az 21=3x+1, and ayz, az V (GI)= az + ayz where I is an image, and G, (x, y) = e V Go = x+y2-20] e x+y2 It is given that (a) Both V21 and V2 (G, *1) can be used to detect edges in an image I. Explain how they can be used for edge detection. Give one advantage of using the Laplacian of Gaussian operator over the Laplacian operator. O (b) Determine a 7x7 mask to represent the LoG function, if (i) = 1, and (ii) = 2. Discuss your results. The Laplacian operator and the Laplacian of Gaussian (LOG) are defined as follows: az 21=3x+1, and ayz, az V (GI)= az + ayz where I is an image, and G, (x, y) = e V Go = x+y2-20] e x+y2 It is given that (a) Both V21 and V2 (G, *1) can be used to detect edges in an image I. Explain how they can be used for edge detection. Give one advantage of using the Laplacian of Gaussian operator over the Laplacian operator. O (b) Determine a 7x7 mask to represent the LoG function, if (i) = 1, and (ii) = 2. Discuss your results.