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Optical Engineering

Optimal model for biorthogonal wavelet filters
Author(s): Guoqiu Wang; Weiwei Yuan
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Paper Abstract

By analyzing the error of discrete hyper-wavelet transform Y = MX, we derive the relation between errors and eigenvalues of matrix MMT. Three new theorems about the eigenvalues of MMT are developed. Based on these theorems, a model for designing optimal biorthogonal wavelets is built. Optimal 8-8-tap and 9-7-tap filters for image compression are found by employing the model presented. Experiment has shown that the optimal 9-7-tap filters have better performance than Cohen and Daubechies' 9-7-tap wavelet for many images. Experiment has also shown that optimal 8-8-tap filters have better visual effects than optimal 9-7-tap filters.

Paper Details

Date Published: 1 February 2003
PDF: 7 pages
Opt. Eng. 42(2) doi: 10.1117/1.1532336
Published in: Optical Engineering Volume 42, Issue 2
Show Author Affiliations
Guoqiu Wang, National Univ. of Defense Technology (China)
Weiwei Yuan, National Univ. of Defense Technology (China)


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