Conference paper

Publication year: 2010

Pages: 1649-1659

Journal: Journal of Computational and Applied Mathematics

Volume number: 233

Issue number: 7

ISSN: 0377-0427

Open access status: Bronze

DOI Link: https://doi.org/10.1016/j.cam.2009.02.016

Conference: International Conference on Multivariate Approximation and Interpolation with Applications

Publisher: Elsevier

Abstract: 
In this extension of earlier work, we point out several ways how a multiresolution analysis can be derived from a finitely supported interpolatory matrix mask which has a positive definite symbol on the unit circle except at -1. A major tool in this investigation will be subdivision schemes that are obtained by using convolution or correlation operations based on replacing the usual matrix multiplications by Kronecker products. (C) 2009 Elsevier B.V. All rights reserved.

Harvard Citation style: Conti, C., Cotronei, M. and Sauer, T. (2010) Full rank interpolatory subdivision schemes: Kronecker, filters and multiresolution, Journal of Computational and Applied Mathematics, 233(7), pp. 1649-1659. https://doi.org/10.1016/j.cam.2009.02.016

APA Citation style: Conti, C., Cotronei, M., & Sauer, T. (2010). Full rank interpolatory subdivision schemes: Kronecker, filters and multiresolution. Journal of Computational and Applied Mathematics. 233(7), 1649-1659. https://doi.org/10.1016/j.cam.2009.02.016