Abstract

This paper investigates central properties such as support length,linear phase,vanishing moments of wavelet filters within the lifting scheme framework.A general algorithm that constructs biorthogonal wavelet with short support length,symmetry,and arbitrary vanishing moments is proposed.The definition of Best Lifting Scheme(BLS) is given.The construction of several famous biorthogonal wavelet systems,and a new system of biorthogonal wavelets with desirable properties,named odd-ordered BLS Wavelet(BLSW) system,is explicitly presented.Moreover,properties of BLSW system are listed,and experimental results of applying BLSW to image nonlinear approximation have shown that the performance of several BLSWs is promising because of their attractive properties.

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