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lecture07 - CAP5415 Computer Vision Spring 2003 Khurram...

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CAP5415 Computer Vision Spring 2003 Khurram Hassan-Shafique

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Image Filtering Modifying the pixels in an image based on some function of a local neighborhood of the pixels 10 30 10 20 11 20 11 9 1 p N(p) 5.7 ( 29 p f
Linear Filtering The output is the linear combination of the neighborhood pixels The coefficients of this linear combination combine to form the “filter-kernel” ( 29 ( 29 = p N q i i i q a p f 1 3 0 2 10 2 4 1 1 Image 1 0 -1 1 0.1 -1 1 0 -1 Kernel = 5 Filter Output

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Convolution ( 29 ( 29 ( 29 ∑∑ - - = = k l l j k i H l k I H I j i f , , * , Kernel Image = = H I H 7 H 8 H 9 H 4 H 5 H 6 H 1 H 2 H 3 H 9 H 8 H 7 H 6 H 5 H 4 H 3 H 2 H 1 H 1 H 2 H 3 H 4 H 5 H 6 H 7 H 8 H 9 H flip X - flip Y - I 1 I 2 I 3 I 4 I 5 I 6 I 7 I 8 I 9 1 9 2 8 3 7 4 6 5 5 6 4 7 3 8 2 9 1 * H I H I H I H I H I H I H I H I H I H I + + + + + + + + = I
Linear Filtering 0 0 0 0 1 0 0 0 0 * =

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Linear Filtering 0 0 0 0 0 1 0 0 0 * =
Linear Filtering 1 1 1 1 1 1 1 1 1 9 1 * =

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Linear Filtering 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 25 1 * =

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Gaussian Filter ( 29 ( 29 + - = 2 2 2 2 2 exp 2 1
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