A generalized Taylor factorization for Hermite subdivision schemes

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:236

Article; Proceedings Paper

Merrien, Jean-Louis²  Sauer, Tomas¹ 

[1] Univ Giessen, Lehrstuhl Numer Math, D-35392 Giessen, Germany

[2] INSA Rennes, F-35043 Rennes, France

关键词: Subdivision;    Hermite;    Taylor expansion;    Factorization;   

DOI  :  10.1016/j.cam.2011.06.011

来源: Elsevier

【 摘 要 】

In a recent paper, we investigated factorization properties of Hermite subdivision schemes by means of the so-called Taylor factorization. This decomposition is based on a spectral condition which is satisfied for example by all interpolatory Hermite schemes. Nevertheless, there exist examples of Hermite schemes, especially some based on cardinal splines, which fail the spectral condition. For these schemes (and others) we provide the concept of a generalized Taylor factorization and show how it can be used to obtain convergence criteria for the Hermite scheme by means of factorization and contractivity. (C) 2011 Published by Elsevier B.V.

【 授权许可】

Free