Title
Construction of multivariate biorthogonal wavelets with arbitrary vanishing moments
Abstract
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.
Year
DOI
Venue
2000
10.1023/A:1018950126225
Adv. Comput. Math.
Keywords
Field
DocType
biorthogonal wavelets,approximation order,accuracy,sum rules,vanishing moments,refinement mask,dual mask,refinable function,CBC algorithm,65D05,41A25,46E35,41A05,41A63,41A30
Mathematical optimization,Refinable function,Vanishing moments,Dilation (morphology),Multivariate statistics,Biorthogonal polynomial,Mathematical analysis,Matrix (mathematics),Biorthogonal system,Mathematics,Wavelet
Journal
Volume
Issue
ISSN
13
2
1572-9044
Citations 
PageRank 
References 
15
2.72
8
Authors
3
Name
Order
Citations
PageRank
Dirong Chen125524.06
Bin Han2578.15
Sherman D. Riemenschneider311415.52