Release Time:2019-03-11  Hits:

Indexed by: Journal Article

Date of Publication: 2011-10-01

Journal: 7th International Conference on Scientific Computing and Applications

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

Volume: 236

Issue: 5,SI

Page Number: 906-915

ISSN: 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.