Hits:

Indexed by:期刊论文

Date of Publication:2011-10-01

Journal:7th International Conference on Scientific Computing and Applications

Included Journals:SCIE、EI、CPCI-S、Scopus

Volume:236

Issue:5,SI

Page Number:906-915

ISSN No.:0377-0427

Key Words:Interpolatory subdivision; Exact evaluation; Tangent vectors; Eigendecomposition; Tensor product; Non-polynomial subdivision

Abstract:This paper presents a new method for exact evaluation of a limit surface generated by stationary interpolatory subdivision schemes and its associated tangent vectors at arbitrary rational points. The algorithm is designed on the basis of the parametric m-ary expansion and construction of the associated matrix sequence. The evaluation stencil of the control points on the initial mesh is obtained, through computation, by multiplying the finite matrices in a sequence corresponding to the expansion sequence and eigendecomposition of the contractive matrix related to the period of rational numbers. The method proposed in this paper works for other non-polynomial subdivision schemes as well. (C) 2011 Elsevier B.V. All rights reserved.