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Multivariate refinable functions, differences and ideals — a simple tutorial

✍ Scribed by Tomas Sauer

Publisher: Elsevier Science
Year: 2008
Tongue: English
Weight: 349 KB
Volume: 221
Category: Article
ISSN: 0377-0427
DOI: 10.1016/j.cam.2007.10.021

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✦ Synopsis

This 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.

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