Optimal model for biorthogonal wavelet filters

Guoqiu Wang; Weiwei Yuan

doi:10.1117/1.1532336

1 February 2003 Optimal model for biorthogonal wavelet filters

Guoqiu Wang, Weiwei Yuan

Optical Engineering, Vol. 42, Issue 2, (February 2003). https://doi.org/10.1117/1.1532336

By analyzing the error of discrete hyper-wavelet transform Y = MX, we derive the relation between errors and eigenvalues of matrix MM^T. Three new theorems about the eigenvalues of MM^T 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.

©(2003) Society of Photo-Optical Instrumentation Engineers (SPIE)

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Guoqiu Wang and Weiwei Yuan "Optimal model for biorthogonal wavelet filters," Optical Engineering 42(2), (1 February 2003). https://doi.org/10.1117/1.1532336

Published: 1 February 2003

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