A Unified Ternary Curve Subdivision Scheme  

作　　者：Qianqian L Jieqing TAN Jun SHI 

机构地区：[1]School of Mathematics, Hefei University of Technology, Anhui 230009, P. R. China

出　　处：《Journal of Mathematical Research with Applications》2017年第1期47-58,共12页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China(Grant Nos.61472466;61070227);the NSFC-Guangdong Joint Foundation Key Project(Grant No.U1135003)

摘　　要：A unified m（m 〉 2）-point ternary scheme with some parameter is proposed. The continuity of subdivision scheme is analyzed based on the relationship between the subdivision scheme and difference scheme. Moreover, the proposed subdivision is extended to asymmetric multi-parameter subdivision and the asymmetric schemes in four cases are presented in detail.Some examples are given to show that the presented scheme has better approximating effect.A unified m（m 〉 2）-point ternary scheme with some parameter is proposed. The continuity of subdivision scheme is analyzed based on the relationship between the subdivision scheme and difference scheme. Moreover, the proposed subdivision is extended to asymmetric multi-parameter subdivision and the asymmetric schemes in four cases are presented in detail.Some examples are given to show that the presented scheme has better approximating effect.

关 键 词：diiTerence matrix subdivision scheme EIGENVALUES asymmetric scheme 

分 类 号：O241[理学—计算数学]