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Trudy SPIIRAN, 2011, Issue 19, Pages 203–220 (Mi trspy456)  
This article is cited in 2 scientific papers (total in 2 papers)

A wavelet refinement algorithms of the first order spline spaces

A. A. Makarov

St. Petersburg State University, Department of Mathematics and Mechanics
Citations (2)
Abstract: The goal of this paper is to obtain a wavelet decomposition (wavelet refinement) of the chain of embedded spaces of splines for an arbitrary refinement of a nonuniform grid, and to derive the corresponding decomposition and reconstruction formulas, to construct wavelet decompositions and decomposition and reconstruction algorithms in the case of an infinite flow for a grid on an open interval and a finite flow for a grid on a segment.
Keywords: spline, wavelet, spline wavelet decomposition, reconstruction matrix, decomposition matrix, subdivision scheme.
Received: 11.10.2011
Accepted: 29.11.2011
Document Type: Article
MSC: 41A15, 65D07, 42C40, 65T60
Language: Russian
Citation: A. A. Makarov, “A wavelet refinement algorithms of the first order spline spaces”, Tr. SPIIRAN, 19 (2011), 203–220
Citation in format AMSBIB
\Bibitem{Mak11}
\by A.~A.~Makarov
\paper A wavelet refinement algorithms of the first order spline spaces
\jour Tr. SPIIRAN
\yr 2011
\vol 19
\pages 203--220
\mathnet{http://mi.mathnet.ru/trspy456}
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  • https://www.mathnet.ru/eng/trspy/v19/p203
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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