Cubic constrained rational interpolating spline

doi:10.3778/j.issn.1002-8331.2010.24.052

Computer Engineering and Applications ›› 2010, Vol. 46 ›› Issue (24): 173-176.DOI: 10.3778/j.issn.1002-8331.2010.24.052

• 图形、图像、模式识别 • Previous Articles Next Articles

Cubic constrained rational interpolating spline

XIE Xiao-yong，LIU Xiao-dong，HU Lin-ling，LI Wei

School of Software Engineering，Shenzhen Institute of Information Technology，Shenzhen，Guangdong 518029，China

Received:2009-09-14 Revised:2009-12-28 Online:2010-08-21 Published:2010-08-21
Contact: XIE Xiao-yong

一种有理三次样条的约束插值

谢晓勇，刘晓东，胡林玲，李伟

深圳信息职业技术学院软件工程系，广东深圳 518029

通讯作者: 谢晓勇

Abstract

Abstract: To constrain interpolating curves to be bounded in a given region is an important issue for shape control of curves.A rational cubic spline with quadratic denominator is constructed.The rational cubic spline based on function values keeps [C1] continuity.Because of new parameters being introduced into interpolating functions，the conditions for constraining the interpolating curve to lie above or below the given piecewise linear curves（or quadratic curves） and even between them can be derived，and an example is given.The given conditions are easy to be satisfied，and usable.

摘要： 将插值曲线约束于给定的区域之内是曲线形状控制中的重要问题。构造了一种仅依赖于函数值的分母为二次的有理三次插值样条，是[C1]连续的，使用起来较方便，并含有参数，具有较好的可约束控制性质。研究了该样条曲线的区域控制问题，讨论了该插值曲线约束于给定折线二次曲线上（下）方或之间的条件，并给出了数值算例。所给约束条件容易满足，便于使用。

CLC Number:

TP391.41

XIE Xiao-yong，LIU Xiao-dong，HU Lin-ling，LI Wei. Cubic constrained rational interpolating spline[J]. Computer Engineering and Applications, 2010, 46(24): 173-176.

谢晓勇，刘晓东，胡林玲，李伟. 一种有理三次样条的约束插值[J]. 计算机工程与应用, 2010, 46(24): 173-176.

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Cubic constrained rational interpolating spline

一种有理三次样条的约束插值

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