A new weighted rational cubic interpolation and its approximation

被引：12
|
作者：
Duan, Q [1 ]
Wang, LQ
Twizell, EH
机构：
[1] Shandong Univ, Sch Math & Syst Sci, Jinan 250100, Peoples R China
[2] Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China
[3] Brunel Univ, Dept Math Sci, Uxbridge UB8 3PH, Middx, England
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2005年 / 168卷 / 02期
关键词：
computer aided geometric design; rational spline; constrained interpolation; approximation;
D O I：
10.1016/j.amc.2004.09.041
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A weighted rational cubic spline interpolation has been constructed using two kinds of rational cubic spline with quadratic denominator. The degree of smoothness of this spline is C-2 in the interpolating interval when the parameters satisfy a continuous system. The sufficient and necessary conditions that constrain the interpolant curves to be convex in the interpolating interval or subinterval are derived. Also, the error estimate formulas of this interpolation are obtained. (c) 2004 Elsevier Inc. All rights reserved.
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页码：990 / 1003
页数：14
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