Constrained interpolation using rational Cubic Spline with linear denominators

被引：33

作者：

Qi Duan ^{[1
]}

Gongxue Xu ^{[1
]}

Aikui Liu ^{[1
]}

Xuefu Wang ^{[2
]}

Fuhua Frank Cheng ^{[2
]}

机构：

[1] Shandong University of Technology,Department of Applied Mathematics

[2] University of Kentucky,Department of Computer Science

来源：

Korean Journal of Computational and Applied Mathematics | 1999年 / 6卷 / 1期

关键词：

41A05; 65D05; 65D10; rational spline; constrained design; constrained interpolation; shape control; approximation;

D O I：

10.1007/BF02941918

中图分类号：

学科分类号：

摘要：

In this paper, a rational cubic interpolant spline with linear denominator has been constructed, and it is used to constrain interpolation curves to be bounded in the given region. Necessary and sufficient conditions for the interpolant to satisfy the constraint have been developed. The existence conditions are computationally efficient and easy to apply. Finally, the approximation properties have been studied.

引用

页码：203 / 215

页数：12