Local control of interpolating rational cubic spline curves

被引：33
|
作者：
Duan, Qi [1 ]
Bao, Fangxun [1 ]
Du, Shitian [1 ]
Twizell, E. H. [2 ]
机构：
[1] Shandong Univ, Sch Math & Syst Sci, Jinan 250100, Peoples R China
[2] Brunel Univ, Sch Informat Syst Comp & Math, Uxbridge UB8 3PH, Middx, England
来源：
COMPUTER-AIDED DESIGN | 2009年 / 41卷 / 11期
基金：
中国国家自然科学基金;
关键词：
Rational spline; Interpolation curves; Shape control; CONVEXITY CONTROL; QUADRATIC SPLINE; SURFACES;
D O I：
10.1016/j.cad.2009.05.002
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
A rational spline based on function values only was constructed in the authors' earlier works. This paper deals with the properties of the interpolation and the local control of the interpolant curves. The methods of value control, convex control and inflection-point control of the interpolation at a point are developed. Some numerical examples are given to illustrate these methods. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：825 / 829
页数：5
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