Convexity analysis for rational quadratic interpolation function

Computer Engineering and Applications ›› 2008, Vol. 44 ›› Issue (3): 45-46.

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Convexity analysis for rational quadratic interpolation function

DENG Si-qing¹,FANG Kui^2,3,XIE Jin⁴

1.Department of Mathematics，Xiangnan University，Chenzhou，Hunan 423000，China
2.School of Information Science and Technology，Hunan Agricultural University，Changsha 410128，China
3.School of Mathematics and Computer，Hunan Normal University，Changsha 410081，China
4.Department of Mathematics and Physics，Hefei University，Hefei 230601，China

Received:1900-01-01 Revised:1900-01-01 Online:2008-01-21 Published:2008-01-21
Contact: DENG Si-qing

一种有理二次插值函数的凸性分析

邓四清¹,方逵^2,3,谢进⁴

1.湘南学院数学系，湖南郴州 423000
2.湖南农业大学信息科学技术学院，长沙 410128
3.湖南师范大学数学与计算机科学学院，长沙 410081
4.合肥学院数理系，合肥 230601

通讯作者: 邓四清

Abstract

Abstract: A method is presented for controlling the convexity of interpolant curves based on a rational quadratic interpolation function with quadratic denominators.The sufficient and necessary conditions are derived for the interpolating curves to be convex or concave in the interpolating intervals.

Key words: computer application, curve design, rational quadratic interpolation, convexity control

摘要： 在给定的插值数据条件下，利用一种带参数的分母为二次的有理二次插值方法，通过调整插值函数中的参数，给出了插值曲线的保凸方法和该方法得以实现的充分必要条件。这种条件是对参数的简单的线性的不等式约束，容易在计算机辅助设计中得到实际应用。

关键词: 计算机应用, 曲线设计, 有理二次插值, 保凸控制

DENG Si-qing¹,FANG Kui^2,3,XIE Jin⁴. Convexity analysis for rational quadratic interpolation function[J]. Computer Engineering and Applications, 2008, 44(3): 45-46.

邓四清¹,方逵^2,3,谢进⁴. 一种有理二次插值函数的凸性分析[J]. 计算机工程与应用, 2008, 44(3): 45-46.

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Convexity analysis for rational quadratic interpolation function

一种有理二次插值函数的凸性分析

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