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1 Wavelet Based Methods in Image Wavelet Based Methods in Image Processing Processing Lecture 2 Lecture 2 - - Filtering and Convolution Filtering and Convolution Applied Mathematics Seminar S. Allen Broughton 0 50 100 150 200 250 300 350 0 0 0
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2 Lecture 2 &2.a Lecture 2 &2.a lecture 2 – smoothing and differencing (filtering) – Maple and Matlab demos lecture 2.a – frequency domain – Fourier transform – convolution theorem – restoration
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3 Smoothing and differencing Smoothing and differencing smoothing – eliminate high frequency detail – let low frequency structure pass through – low pass filtering differencing – eliminate low frequency structure – let high frequency structure pass through – high pass filtering
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4 Maple: filtering of signals Maple: filtering of signals graphs algebra low pass high pass filter1d.mws XH X l X l = * X h X h = *
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5 Vector Convolution Vector Convolution - - 1D 1D X = [X(0),. ..,X(N-1)] vector of length N g, vector of possibly smaller length, zero
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This note was uploaded on 05/28/2010 for the course EE EE564 taught by Professor Runyiyu during the Spring '10 term at Eastern Mediterranean University.

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Lect2 - 0 0 50 50 100 100 150 150 200 200 250 0 50 100 150...

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