We give a simple formula for the duals of the filters associated with bivariate box spline functions. We show how to construct bivariate non-separable compactly supported biorthogonal wavelets associated with box spline functions which have arbitrarily high regularities.
Biorthogonal Wavelets with Certain Regularities
โ Scribed by Tian-Xiao He
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 155 KB
- Volume
- 11
- Category
- Article
- ISSN
- 1063-5203
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โฆ Synopsis
In this paper, we will discuss the construction of biorthogonal wavelets that possess the largest possible regularities and required vanishing moments. For the sake of applications, we also give a general Daubechies' iteration method of constructing biorthogonal wavelets by using biorthogonal splines.
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