Conference paper

Publication year: 2008

Pages: 447-459

Journal: Journal of Computational and Applied Mathematics

Volume number: 221

Issue number: 2

ISSN: 0377-0427

Open access status: Bronze

DOI Link: https://doi.org/10.1016/j.cam.2007.10.021

Conference: International Conference on Recent Progress in Spline and Wavelet Approximation

Publisher: Elsevier

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. (C) 2008 Published by Elsevier B.V.

Harvard Citation style: Sauer, T. (2008) Multivariate refinable functions, differences and ideals - a simple tutorial, Journal of Computational and Applied Mathematics, 221(2), pp. 447-459. https://doi.org/10.1016/j.cam.2007.10.021

APA Citation style: Sauer, T. (2008). Multivariate refinable functions, differences and ideals - a simple tutorial. Journal of Computational and Applied Mathematics. 221(2), 447-459. https://doi.org/10.1016/j.cam.2007.10.021