Multivariate refinable functions, differences and ideals - a simple tutorial

Authors:
Tomas Sauer
Affiliations:
Lehrstuhl für Numerische Mathematik, Justus-Liebig-Universität Gieíen, Heinrich-Buff-Ring 44, D-35392 Gieíen, Germany
Venue:
Journal of Computational and Applied Mathematics
Year:
2008

Citing 4
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Abstract

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.