| 一种有理三次样条的约束插值 |
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| 引用本文： | 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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| 作者姓名： | 谢晓勇 刘晓东 胡林玲 李伟 |
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| 作者单位： | 深圳信息职业技术学院软件工程系,广东,深圳,518029 |
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| 基金项目： | 深圳信息职业技术学院青年自然科学基金项目 |
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| 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。
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| 关 键 词： | 曲线设计 三次样条 有理插值 约束插值 |
| 收稿时间： | 2009-9-14 |
| 修稿时间： | 2009-12-28
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Cubie constrained rational interpolating spline |
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| XIE Xiao-yong,LIU Xiao-dong,HU Lin-ling,LI Wei.Cubie constrained rational interpolating spline[J].Computer Engineering and Applications,2010,46(24):173-176. |
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| Authors: | XIE Xiao-yong LIU Xiao-dong HU Lin-ling LI Wei |
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| Affiliation: | School of Software Engineering,Shenzhen Institute of Information Technology,Shenzhen,Guangdong 518029,China |
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| 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. |
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| Keywords: | curve design cubic spline rational interpolation constrained interpolation |
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