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

Authors:
Carl de Boor;Amos Ron
Affiliations:
University of Wisconsin-Madison, USA;University of Wisconsin-Madison, USA
Venue:
Journal of Approximation Theory
Year:
2008

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Abstract

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.