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 Chen | 1 | 255 | 24.06 |
Bin Han | 2 | 57 | 8.15 |
Sherman D. Riemenschneider | 3 | 114 | 15.52 |