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论文类型：期刊论文

发表时间：2011-10-01

发表刊物：7th International Conference on Scientific Computing and Applications

收录刊物：SCIE、EI、CPCI-S、Scopus

卷号：236

期号：5,SI

页面范围：906-915

ISSN号：0377-0427

关键字：Interpolatory subdivision; Exact evaluation; Tangent vectors; Eigendecomposition; Tensor product; Non-polynomial subdivision

摘要：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.