A nonlinear Chaikin-based binary subdivision scheme

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:349

Article; Proceedings Paper

Donat, Rosa¹  Yanez, Dionisio F.^2,3 

[1] Univ Valencia, Dept Math, Valencia, Spain

[2] Univ Catolica Valencia, Campus Capacitas, Valencia, Spain

[3] Univ Catolica Valencia, Dept Matemat, CC NN, CC SS Aplicadas Educ, Valencia, Spain

关键词: Harten's multiresolution;    Linear and nonlinear subdivision schemes;   

DOI  :  10.1016/j.cam.2018.09.017

来源: Elsevier

【 摘 要 】

In this work we introduce and analyze a new nonlinear subdivision scheme based on a nonlinear blending between Chaikin's subdivision rules and the linear 3-cell subdivision scheme. Our scheme seeks to improve the lack of convergence in the uniform metric of the nonlinear scheme proposed in Amat et al. (2012), where the authors define a cell average version of the PPH subdivision scheme (Amat et al., 2006). The properties of the new scheme are analyzed and its performance is illustrated through numerical examples. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

Free