文献类型：期刊文献

英文题名：A combined approximating and interpolating subdivision scheme with C-2 continuity

作者：Pan, Jun[1,2];Lin, Shujin[2,3];Luo, Xiaonan[2]

第一作者：Pan, Jun;潘君

通讯作者：Pan, J[1]

机构：[1]Henan Univ Econ & Law, Coll Comp & Informat Engn, Zhengzhou 450000, Peoples R China;[2]Sun Yat Sen Univ, Sch Informat Sci & Technol, Natl Engn Res Ctr Digital Life, State Prov Joint Lab Digital Home Interact Applic, Guangzhou 510006, Guangdong, Peoples R China;[3]Sun Yat Sen Univ, Sch Commun & Design, Guangzhou 510006, Guangdong, Peoples R China

第一机构：河南财经政法大学计算机与信息工程学院

通讯机构：[1]corresponding author), Henan Univ Econ & Law, Coll Comp & Informat Engn, Zhengzhou 450000, Peoples R China.|[1048412]河南财经政法大学计算机与信息工程学院;[10484]河南财经政法大学;

年份：2012

卷号：25

期号：12

起止页码：2140-2146

外文期刊名：APPLIED MATHEMATICS LETTERS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000309033200027)】；

基金：This research is supported by NSFC-Guangdong Joint Fund (U0935004, U1135003), the National Key Technology R&D Program (2011BAH271301, 2011BHA16808), the Major Science and Technology Projects of Guangdong (2011A080401007), the Industry-academy-research Project of Guangdong (2009A090100028), the NSFC (61103162) and the Fundamental Research Funds for the Central Universities of China (No. 1109021170001137105).

语种：英文

外文关键词：Combined subdivision; Approximation; Interpolation; Shape control parameters

摘要：In this paper a combined approximating and interpolating subdivision scheme is presented. The relationship between approximating subdivision and interpolating subdivision is derived by directly performing operations on geometric rules. The behavior of the limit curve produced by our combined subdivision scheme is analyzed by the Laurent polynomial and attains C-2 degree of smoothness. Furthermore, a non-uniform combined subdivision with shape control parameters is introduced, which allows a different tension value for every edge of the original control polygon. (C) 2012 Elsevier Ltd. All rights reserved.