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论文类型：期刊论文

发表时间：2013-09-01

发表刊物：APPLIED MATHEMATICS AND COMPUTATION

收录刊物：SCIE、EI、Scopus

卷号：220

页面范围：339-349

ISSN号：0096-3003

关键字：Approximating subdivision; Interpolatory subdivision; Subdivision mask; Polynomial reproduction; Polynomial generation

摘要：This paper deals with some theoretical analysis of one strategy for deducing interpolatory from approximating subdivision scheme. First, we derive the explicit formula for one class of interpolatory subdivision schemes deduced from approximating subdivision schemes. This explicit formula paves a way for systematic analysis of interpolatory subdivisions derived by the strategy. We analyze the polynomial generation property of interpolatory subdivision derived by the strategy. Moreover, the explicit formula also has the merit of providing a method for designing new interpolatory and approximating subdivisions, and some new subdivision schemes are constructed. (C) 2013 Elsevier Inc. All rights reserved.