Region control and approximation of a weighted rational interpolating curves

Qi Duan; Yunfeng Zhang; Liqiu Wang; E. H. Twizell

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Region control and approximation of a weighted rational interpolating curves

机译：加权有理插值曲线的区域控制和逼近

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摘要

A weighted rational cubic spline interpolation has been constructed using two kinds of rational cubic spline with quadratic denominator. The sufficient conditions that constrain the interpolant curves to be in the given region are derived, also the error estimate formulas of this interpolation are obtained.

机译：使用两种带二次分母的有理三次样条构造了加权有理三次样条插值。推导了将插值曲线约束在给定区域内的充分条件，并获得了该插值的误差估计公式。

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来源
《Communications in numerical methods in engineering》 |2006年第1期|p.41-53|共13页
作者
Qi Duan; Yunfeng Zhang; Liqiu Wang; E. H. Twizell;
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作者单位

School of Mathematics and System Science, Shandong University, Jinan 250100, People's Republic of China;

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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
computer-aided geometric design; rational spline; constrained interpolation; approximation;

机译：计算机辅助几何设计;有理样条;约束插值;逼近;

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1. Local control and approximation properties of a C-2 rational interpolating curve [J] . Sun Qinghua Journal of computational analysis and applications . 2015,第5期

机译：C-2有理插值曲线的局部控制和逼近性质
2. Constrained control and approximation properties of a rational interpolating curve [J] . Duan Q., Djidjeli K., Pric WG., Information Sciences: An International Journal . 2003,第0期

机译：有理插值曲线的约束控制和逼近性质
3. The best interpolating approximation is a limit of best weighted approximations [J] . Canadian mathematical bulletin . 1982,第1982期

机译：最佳插值逼近是最佳加权逼近的极限
4. Constraining the interpolating curves to be bounded in the given region by weighted rational spline [C] . Qi Duan, Qiaolin Chai, Zhang Huanling, International conference on computer aided design computer graphics . 1999

机译：通过加权有理样条约束将插值曲线限制在给定区域中
5. Order of uniform approximation to analytic functions by rational trigonometric and weighted rational functions. [D] . Simmons, Richard D. 1989

机译：有理三角函数和加权有理函数对解析函数的均匀近似阶数。
6. Rationale and methods of an Evaluation of the Effectiveness of the Community Paramedicine at Home (CP@home) program for frequent users of emergency medical services in multiple Ontario regions: a study protocol for a randomized controlled trial [O] . Gina Agarwal, Melissa Pirrie, Brent McLeod, 2019

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7. Constrained control and approximation properties of a rational interpolating curve [O] . Duan, Qi, Djidjeli, K., Price, W.G., 2003

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8. Existence Questions for the Problem of Chebyshev Approximation by Interpolating Rationals. [R] . Taylor, G. D., Williams, J. 1973

机译：关于插值有理数的切比雪夫逼近问题的存在性问题。

Region control and approximation of a weighted rational interpolating curves

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