Journalartikel

Jahr der Veröffentlichung: 2010

Seiten: 559-575

Zeitschrift: Journal of Approximation Theory

Bandnummer: 162

Heftnummer: 3

ISSN: 0021-9045

eISSN: 1096-0430

DOI Link: https://doi.org/10.1016/j.jat.2009.08.008

Verlag: Elsevier

Abstract: 
We extend our previous work on interpolatory vector subdivision schemes to the multivariate case. As in the univariate case we show that the diagonal and off-diagonal elements of such a scheme have a significantly different structure and that under certain circumstances symmetry of the mask can increase the polynomial reproduction power of the subdivision scheme. Moreover, we briefly point out how tensor product constructions for vector subdivision schemes can be obtained. (C) 2009 Elsevier Inc. All rights reserved.

Harvard-Zitierstil: Conti, C., Cotronei, M. and Sauer, T. (2010) Full rank interpolatory subdivision: A first encounter with the multivariate realm, Journal of Approximation Theory, 162(3), pp. 559-575. https://doi.org/10.1016/j.jat.2009.08.008

APA-Zitierstil: Conti, C., Cotronei, M., & Sauer, T. (2010). Full rank interpolatory subdivision: A first encounter with the multivariate realm. Journal of Approximation Theory. 162(3), 559-575. https://doi.org/10.1016/j.jat.2009.08.008