Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2013-09-01

Journal: APPLIED MATHEMATICS AND COMPUTATION

Included Journals: Scopus、EI、SCIE

Volume: 220

Page Number: 339-349

ISSN: 0096-3003

Key Words: Approximating subdivision; Interpolatory subdivision; Subdivision mask; Polynomial reproduction; Polynomial generation

Abstract: 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.