单变量均匀静态奇数点细分格式的构造和连续性分析  

Construction and continuity analysis of uniform stationary univariate odd point subdivision schemes

作　　者：谭晔[1] 江平[1] 

机构地区：[1]合肥工业大学数学学院,安徽合肥230009

出　　处：《合肥工业大学学报（自然科学版）》2010年第6期925-928,共4页Journal of Hefei University of Technology：Natural Science

基　　金：高等学校博士学科点专项科研基金资助项目(2008JYXJ0828);安徽省自然科学基金资助项目(090416232)

摘　　要：单变量细分格式中关于偶数点有二重和三重的插值格式,而关于奇数点只有三点三重插值格式。文章构造了五点三重和七点三重插值格式,并利用单变量均匀稳定细分格式Ck连续的充要条件,对其连续性及精度进行了分析,同时将其与偶数点细分格式进行了比较,文中的构造方法对精度的提高是有效的。In univariate subdivision schemes, there are arity-2 and arity-3 interpolating even-point schemes, but in view of an odd number of control points, there are only arity-3 interpolating 3-point schemes. In this paper, arity-3 interpolating 5 point and 7-point schemes are constructed. Using the necessary and sufficient conditions for C-continuity of uniform stationary subdivision schemes, the continuity and accuracy of the schemes are presented. Compared with even-point subdivision schemes, the method proposed in this paper is effective in improving the accuracy of the schemes.

关 键 词：细分 插值格式 连续性 

分 类 号：O241.3[理学—计算数学]