Quasi-interpolatory refinable functions and construction of biorthogonal wavelet systems
type: Item
instance of: scholarly article
title: Quasi-interpolatory refinable functions and construction of biorthogonal wavelet systems
zbMATH Open document ID: 1202.65185
author: Hong Oh Kim
author: Rae Young Kim
author: Yeon Ju Lee
author: Jungho Yoon
published in: Advances in Computational Mathematics
publication date: 2010-10-13T00:00:00Z
review text: The authors present a new family of compactly supported and symmetric biorthogonal wavelet system with tension parameter \(\omega\). When \(\omega=0\), it becomes the minimal length Coifman biorthogonal wavelet system [\textit{D. Wei, J. Tian, R. O. Wells} and \textit{C. S. Burrus}, IEEE Trans. Image Process. 7, No.~7, 1000--1013 (1998; Zbl 0973.94005)]. Choosing \(\omega\) away from zero, the refinable function computation costs slightly more and the function can be better smoothness. The authors also highlight the connection between the quasi-interpolatory subdivision schmes and the masks by \textit{A. Cohen, I. Daubechies} and \textit{J.-C. Feauveau} [Commun. Pure Appl. Math. 45, No.~5, 485--560 (1992; Zbl 0776.42020)].
reviewed by: Chengshu Wang
Mathematics Subject Classification ID: 65T60
Mathematics Subject Classification ID: 42C40
zbMATH DE Number: 5799380
zbMATH Keywords: subdivision
zbMATH Keywords: Coifman wavelet
zbMATH Keywords: biorthogonal wavelet
zbMATH Keywords: multiresolution analysis
zbMATH Keywords: quasi-interpolation
zbMATH Keywords: refinable function
MaRDI profile type: Publication
full work available at URL: s10444-009-9129-4
OpenAlex ID: W2074465713
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DOI: 10.1007/S10444-009-9129-4
description: scientific article; zbMATH DE number 5799380