Multivariate refinable functions,differences and ideals — a simple tutorial |
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Authors: | Tomas Sauer |
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Institution: | Lehrstuhl für Numerische Mathematik, Justus–Liebig–Universität Gießen, Heinrich–Buff–Ring 44, D–35392 Gießen, Germany |
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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. |
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Keywords: | 65T60 68W30 |
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