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Linear filter convolution - PowerPoint PPT Presentation

Linear filters

Linear filters. What is Image Filtering?. Modify the pixels in an image based on some function of a local neighborhood of the pixels. Some function. Linear Filtering. Linear case is simplest and most useful Replace each pixel with a linear combination of its neighbors.

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$Math 3360: Mathematical Imaging$

Math 3360: Mathematical Imaging

Math 3360: Mathematical Imaging. Lecture 12: Linear filtering. Prof. Ronald Lok Ming Lui Department of Mathematics, The Chinese University of Hong Kong. Linear filtering of a (2M+1)x(2N+1) image I (defined on [-M,M]x[-N,N]) = CONVOLUTION OF I and H H is called the filter .

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Linear filter convolution - PowerPoint PPT Presentation

Linear filters

Math 3360: Mathematical Imaging