Subdivision schemes with polynomially decaying masks (Q963257)
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scientific article; zbMATH DE number 5694696
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Subdivision schemes with polynomially decaying masks |
scientific article; zbMATH DE number 5694696 |
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Subdivision schemes with polynomially decaying masks (English)
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19 April 2010
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The \(L_2\)-solutions of vector refinement equations with polynomially decaying masks and a general dilation matrix, which plays a vital role for characterizations of wavelets and biorthogonal wavelets with infinite support are studied here [cf. \textit{B. Han} and \textit{R.-Q. Jia}, Appl. Comput. Harmon. Anal. 23, 321--345 (2007; Zbl 1141.42023)]. Some basic properties the cascade operator and the transition operator are shown. A necessary and sufficient condition for the convergence of certain subdivision schemes has also been given.
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refinement equations
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infinite refinement mask
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cascade algorithm
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transition operator
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wavelets
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convergence
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subdivision schemes
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0.97830904
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