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论文类型：期刊论文

发表时间：2013-01-01

发表刊物：ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES

收录刊物：SCIE、CSCD

卷号：29

期号：3

页面范围：567-578

ISSN号：0168-9673

关键字：Non-stationary subdivision; exponential polynomials; difference equation; tension control

摘要：In this paper we develop a novel approach to construct non-stationary subdivision schemes with a tension control parameter which can reproduce functions in a finite-dimensional subspace of exponential polynomials. The construction process is mainly implemented by solving linear systems for primal and dual subdivision schemes respectively, which are based on different parameterizations. We give the theoretical basis for the existence, uniqueness, and refinement rules of schemes proposed in this paper. The convergence and smoothness of the schemes are analyzed as well. Moreover, conics reproducing schemes are analyzed based on our theory, and a new idea that the tensor parameter w(k) of the schemes can be adjusted for conics generation is proposed.