# lecture09 - CAP5415 Computer Vision Spring 2003 Khurram...

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1 CAP5415 Computer Vision Spring 2003 Khurram Hassan-Shafique Edge Detection in Images ° Finding the contour of objects in a scene

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2 Edge Detection in Images ° What is an object? It is one of the goals of computer vision to identify objects in scenes. Edge Detection in Images ° Edges have different sources.
3 What is an Edge ° Lets define an edge to be a discontinuity in image intensity function. ° Edge Models ° Step Edge ° Ramp Edge ° Roof Edge ° Spike Edge Detecting Discontinuities ° Discontinuities in signal can be detected by computing the derivative of the signal.

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4 Differentiation and convolution ° Recall ° Now this is linear and shift invariant, so must be the result of a convolution. ° We could approximate this as (which is obviously a convolution with Kernel ; it’s not a very good way to do things, as we shall see) ( 29 ( 29 ° ± ² ³ ´ µ - + = ε ε ε x f x f x f 0 lim ( 29 ( x x f x f x f n - + 1 [ ] 1 1 - Finite Difference in 2D ( 29 ( 29 ( 29 ° ± ² ³ ´ µ - + = ε ε ε y x f y x f x y x f , , lim , 0 ( 29 ( ( 29 ° ± ² ³ ´ µ - + = ε ε
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