Multivariate Refinable Interpolating Functions

In this paper we present an algorithm for the construction of uniformly continuous, compactly supported refinable interpolating functions for arbitrary dilation matrices. We investigate the asymptotic behavior of their symbols and we develop a link to the theory of translation invariant MRA.

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Bibliographic Details
Published in:Applied and computational harmonic analysis 1999-09, Vol.7 (2), p.165-183
Main Author: Derado, Josip
Format: Article
Language:English
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Summary:In this paper we present an algorithm for the construction of uniformly continuous, compactly supported refinable interpolating functions for arbitrary dilation matrices. We investigate the asymptotic behavior of their symbols and we develop a link to the theory of translation invariant MRA.
ISSN:1063-5203
1096-603X
DOI:10.1006/acha.1999.0267