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TitleMultivariate refinable functions, differences and ideals — a simple tutorial
Author(s) Thomas Sauer
TypeArticle in Journal
AbstractThis paper summarizes the algebraic quotient ideal approach to polynomial generation by refinable functions and connects it to Strang–Fix conditions and factorization with respect to difference operators. Motivated by the latter one, we also consider vector subdivision schemes with matrix valued coefficients and review some of their properties.
KeywordsSubdivision, Quotient ideal, Strang–Fix conditions
ISSN0377-0427
URL http://www.sciencedirect.com/science/article/pii/S0377042707005766
LanguageEnglish
JournalJournal of Computational and Applied Mathematics
Volume221
Number2
Pages447 - 459
Year2008
NoteSpecial Issue: Recent Progress in Spline and Wavelet Approximation
Edition0
Translation No
Refereed No
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