Shape control of curve design by weighted rational spline

被引：0
|
作者：
Duan, Qi [1 ]
Li, Botang [2 ]
Djidjeli, K. [3 ]
Price, W.G. [3 ]
Twizell, E.H. [4 ]
机构：
[1] Department of Applied Mathematics, Shandong University of Technology, Jinan, 250061, China
[2] Department of Mathematics, Shandong University, Jinan, 250011, China
[3] Department of Ship Science, University of Southampton, Southampton, SO17 1B, United Kingdom
[4] Department of Mathematics and Statistics, Brunel University, Uxbridge, Middlesex, UB8 3PH, United Kingdom
来源：
Journal of Applied Mathematics and Computing | 1999年 / 6卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Rational functions - Interpolation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Controlling the convexity and the strain energy of the interpolating curve can be carried out by controlling the second-order derivative of the interpolating function. In [1], the rational cubic spline with linear denominator has been used to constrain the convexity and the strain energy of the interpolating curves, but it does not work in some case. This paper deals with the weighted rational cubic spline with linear denominator for this kind of constraint, the sufficient and necessary condition for controlling the convexity and strain energy of the interpolating curves are derived, and a numerical example is given. © 1999 Korean Society for Computational & Applied Mathematics and Korean SIGCOAM.
引用
收藏
页码：537 / 547
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