SOME SHAPE-PRESERVING QUASI-INTERPOLANTS TO NON-UNIFORMLY DISTRIBUTED DATA BY MQ-B-SPLINES  

作　　者：ZhangWeixiang WuZongmin 

机构地区：[1]Dept.ofMath.,FudanUniv.,Shanghai200433,China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2004年第2期191-202,共12页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the National Natural Science Foundation of China( 1 9971 0 1 7,1 0 1 2 5 1 0 2 )

摘　　要：Based on the definition of MQ-B-Splines,this article constructs five types of univariate quasi-interpolants to non-uniformly distributed data. The error estimates and the shape-preserving properties are shown in details.And examples are shown to demonstrate the capacity of the quasi-interpolants for curve representation.Based on the definition of MQ-B-Splines,this article constructs five types of univariate quasi-interpolants to non-uniformly distributed data. The error estimates and the shape-preserving properties are shown in details.And examples are shown to demonstrate the capacity of the quasi-interpolants for curve representation.

关 键 词：scattered data fitting QUASI-INTERPOLATION shape-preserving approximation radial basis function MQ-B-Splines. 

分 类 号：O158[理学—数学]