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Construction of multivariate biorthogonal wavelets with arbitrary vanishing moments |
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| Authors: | Di‐Rong Chen Bin Han Sherman D. Riemenschneider |
| Affiliation: | (1) Department of Applied Mathematics, Beijing University of Aeronautics and Astronautics, Beijing, 100083, China;(2) Program in Applied and Computational Mathematics, Princeton University, Fine Hall, Princeton, NJ, 08544, USA E-mail:;(3) Department of Mathematics, West Virginia University, Armstrong Hall, P. O. Box 6310, Morgantown, WV, 26506, USA E-mail: |
| 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. This revised version was published online in June 2006 with corrections to the Cover Date. |
| Keywords: | biorthogonal wavelets, approximation order accuracy sum rules vanishing moments refinement mask dual mask refinable function CBC algorithm 65D05 41A25 46E35 41A05 41A63 41A30 |
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