Construction of multivariate biorthogonal wavelets with arbitrary vanishing moments

We present a concrete method to build discrete biorthogonal systems such that the wavelet filters have any number of vanishing moments. Several algorithms are proposed to construct multivariate biorthogonal wavelets with any general dilation matrix and arbitrary order of vanishing moments. Examples are provided to illustrate the general theory and the advantages of the algorithms.

• Type: Journal
• Year: 2000
• Where: ADCM
• Authors: Di-Rong Chen, Bin Han 0003, Sherman D. Riemenschneider
• Keywords: ADCM 2000, General Dilation Matrix, Multivariate Biorthogonal Wavelets, Several Algorithms