Interpolating refinable functions and wavelets for general scaling

This paper introduces a general procedure for constructing interpolating refinable functions for arbitrary dilation matrices. The key ideas are based on the construction presented in [24]. Several families of interpolating refinable functions are computed exlicitly. They originate from convolution p...

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Bibliographic Details
Published inNumerical functional analysis and optimization Vol. 18; no. 5-6; pp. 521 - 539
Main Authors Dahlke, Stephan, Maass, Peter
Format Journal Article
LanguageEnglish
Published Marcel Dekker, Inc 01.01.1997
Subjects
expanding scaling matrices
interpolating scaling functions
spline functions
wavelets
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ISSN0163-0563
1532-2467
DOI10.1080/01630569708816776

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Summary:This paper introduces a general procedure for constructing interpolating refinable functions for arbitrary dilation matrices. The key ideas are based on the construction presented in [24]. Several families of interpolating refinable functions are computed exlicitly. They originate from convolution products of some simple functions, either generalized Haar functions or Laplace schemes. A suitable correction is added to obtain interpolating solutions. AMS Subject classification: Primary 26B05, 41A05, 41A15, Secondary 41A30, 41A63
ISSN:0163-0563
1532-2467
DOI:10.1080/01630569708816776