Box spline prewavelets of small support (Q5958884)
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scientific article; zbMATH DE number 1721766
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Box spline prewavelets of small support |
scientific article; zbMATH DE number 1721766 |
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Box spline prewavelets of small support (English)
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18 June 2002
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box splines
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prewavelets
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Riesz basis
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small support
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In this paper bivariate and trivariate prewavelets from box spline spaces are constructed, i.e., the prewavelets are piecewise polynomials of fixed degree on a uniform mesh.NEWLINENEWLINENEWLINEThese new box spline wavelets form a Riesz basis in \( L^2(\mathbb{R}^d), d = 1,2,3\), and have a smaller support than the prewavelets recently constructed by \textit{S. D. Riemenschneider} and \textit{Z. Shen} [J. Approximation Theory 71, 18-38 (1992; Zbl 0772.41019)].
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