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# lecture10 - CAP5415 Computer Vision Spring 2003 Khurram...

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CAP5415 Computer Vision Spring 2003 Khurram Hassan-Shafique

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Sobel Edge Detector Detecting Edges in Image Image I - - - 1 0 1 2 0 2 1 0 1 - - - 1 2 1 0 0 0 1 2 1 * * I dx d I dy d 2 2 + I dy d I dx d Threshold Edges
Sobel Edge Detector I dx d I dy d I

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Sobel Edge Detector I 2 2 + = I dy d I dx d 100 = Threshold
Marr and Hildreth Edge Operator Smooth by Gaussian Use Laplacian to find derivatives I G S * σ = 2 2 2 2 2 1 σ σ σ π y x e G + - = S y S x S 2 2 2 2 2 + =

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Marr and Hildreth Edge Operator ( 29 I G I G S * * 2 2 2 σ σ = = 2 2 2 2 2 2 2 3 2 2 2 1 σ σ σ σ π y x e y x G + - + - - =
Marr and Hildreth Edge Operator 2 2 2 2 2 2 2 3 2 2 2 1 σ σ σ σ π y x e y x G + - + - - = 0.0008 0.0066 0.0215 0.031 0.0215 0.0066 0.0008 0.0066 0.0438 0.0982 0.108 0.0982 0.0438 0.0066 0.0215 0.0982 0 -0.242 0 0.0982 0.0215 0.031 0.108 -0.242 -0.7979 -0.242 0.108 0.031 0.0215 0.0982 0 -0.242 0 0.0982 0.0215 0.0066 0.0438 0.0982 0.108 0.0982 0.0438 0.0066 0.0008 0.0066 0.0215 0.031 0.0215 0.0066 0.0008 X Y

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Marr and Hildreth Edge Operator Zero Crossings Detection I Image σ G 2 * I G * 2 σ Edge Image I G * 2 σ Zero Crossings
1 = σ 6 = σ 3 = σ

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