| 基于曲率调节的二次均匀B样条插值曲线 |
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| 引用本文： | 杨文颖,张先波,李军成,宋来忠.基于曲率调节的二次均匀B样条插值曲线[J].计算机工程与应用,2008,44(6):77-78. |
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| 作者姓名： | 杨文颖 张先波 李军成 宋来忠 |
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| 作者单位： | 三峡大学 理学院，湖北 宜昌 443002 |
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| 基金项目： | 湖北省教育厅自然科学重点科研基金资助(No.D200613009)。 |
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| 摘 要： | 提出了一种二次均匀B样条插值曲线的构造方法，首先给定某一段曲线首点的相对曲率和该段曲线的首端切矢量的方向角，利用二次均匀B样条曲线的端点性质，求出其余各段曲线控制顶点，来生成整条插值曲线。该方法无需做反求运算，不仅保持了B样条曲线的优点，而且可以通过修改曲线首点的相对曲率和该段曲线的首端切矢量的方向角对曲线进行整体调节。
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| 关 键 词： | 二次均匀B样条曲线 型值点 控制顶点 相对曲率 插值 |
| 文章编号： | 1002-8331（2008）06-0077-02 |
| 收稿时间： | 2007-06-14 |
| 修稿时间： | 2007-09-05 |
Quadratic uniform B-spline interpolation curve which based on adjusted curvature |
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| YANG Wen-ying,ZHANG Xian-bo,LI Jun-cheng,SONG Lai-zhong.Quadratic uniform B-spline interpolation curve which based on adjusted curvature[J].Computer Engineering and Applications,2008,44(6):77-78. |
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| Authors: | YANG Wen-ying ZHANG Xian-bo LI Jun-cheng SONG Lai-zhong |
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| Affiliation: | College of Science，China Three Gorges University，Yichang，Hubei 443002，China |
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| Abstract: | A method of construct a quadratic uniform B-spline curve through data points is given.If the relative curvature of a certain curve on the first control point and the direction angle of the first port’s tangent vector is given，here can get the whole curve by using the character of the port of quadratic uniform B-spline curve.This method doesn’t need reverse calculating，the shape can be changed to satisfy the condition. |
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| Keywords: | quadratic uniform B-spline curve data points control points relative curvature interpolation |
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