| 基于B样条曲线节点插入算法的拟合优化 |
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| 引用本文： | 樊迪,常智勇,李春磊,阳阳.基于B样条曲线节点插入算法的拟合优化[J].工具技术,2012,46(8):80-82. |
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| 作者姓名： | 樊迪 常智勇 李春磊 阳阳 |
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| 作者单位： | 西北工业大学 |
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| 基金项目： | 西北工业大学基础研究基金（NPU-FFR-JC20110215） |
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| 摘 要： | 在逆向工程中对叶片进行非接触式测量,为了更好得到叶片型线的数据,需要用曲线对有序的点云进行拟合.为了满足精度要求,提出了用节点插入算法来对拟合出B样条曲线进行优化.该方法首先通过最小二乘法拟合出曲线,然后根据误差和曲率信息以及节点插入算法不断插入节点,所得结果与上一次进行对比,直到达到拟合要求.实验表明,该方法考虑到局部曲率及误差,得到的拟合曲线逼近效果更好.
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| 关 键 词： | B样条曲线 最小二乘拟合 节点插入算法 |
Fitting Optimization for B-spline Curve and Kont Insertion Algorithm |
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| Fan Di
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Chang Zhiyong
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Li Chunlei
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Yang Yang.Fitting Optimization for B-spline Curve and Kont Insertion Algorithm[J].Tool Engineering(The Magazine for Cutting & Measuring Engineering),2012,46(8):80-82. |
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| Authors: | Fan Di Chang Zhiyong Li Chunlei Yang Yang |
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| Affiliation: | ,Postgraduate,Key Laboratory of Ministry of Education for Contemporary Design and Integrated Manufacturing,School of Mechanical and Electrical Engineering,Northwestern Polytechnical University,Xi＇an 710072,China |
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| Abstract: | In reverse engineering,non-contact measurement of the blade,in order to get better blade profile data,need to use the curve to fit the orderly points.For precision requirement,put forward knot insertion algorithm for fitting B-spline curve.The method begins by least squares fitting curve,then according to the error,curvature information and knot insertion algorithm to insert nodes,compared the results with the last until reach the best requiremtnts.Experimental results show that the algorithms take into account the local curvature and error,obtained by the fitting curve approximation effect is better. |
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| Keywords: | non-uniform rational B-spline curve least square fitting knot insertion algorithm |
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