Box splines revisited: Convergence and acceleration methods for the subdivision and the cascade algorithms

JOURNAL OF APPROXIMATION THEORY

卷:150

Article

de Boor, Carl¹  Ron, Amos¹ 

[1] Univ Wisconsin, Madison, WI 53706 USA

关键词: subdivision;    cascade iterations;    refinable functions;    box splines;   

DOI  :  10.1016/j.jat.2007.04.012

来源: Elsevier

【 摘 要 】

A, general convergence analysis of the cascade algorithm, for the determination of a refinable function from its mask, is applied to box splines in which case certain difficulties adherent to the general case can be resolved completely and even elegantly. In the process, the understanding of the convergence of the adjoint process, subdivision, is also enhanced. (c) 2007 Elsevier Inc. All rights reserved.

【 授权许可】

Free