| 基于移动最小二乘法的曲线曲面拟合 |
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| 引用本文： | 曾清红,卢德唐. 基于移动最小二乘法的曲线曲面拟合[J]. 工程图学学报, 2004, 25(1): 84-89 |
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| 作者姓名： | 曾清红 卢德唐 |
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| 作者单位： | 中国科学技术大学力学和机械工程系,合肥,230027 |
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| 基金项目： | 国家自然科学基金资助项目(10102020)，国家973资助项目(G1999032805) |
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| 摘 要： | 建立了一种基于移动最小二乘(MovingLeast-Squares,MLS)法的曲线曲面拟合方法。这种方法对传统的最小二乘(LS)法的作了比较大的改进,使生成的曲线曲面具有精度高、光滑性好等许多优点。详细介绍了移动最小二乘法的原理、应用和特点,并且给出了使用移动最小二乘法进行曲线曲面拟合的程序设计流程。最后给出了曲线拟合和空间散乱数据曲面拟合算例,将拟合结果与最小二乘拟合结果作了比较,分析了MLS拟合曲线曲面的光滑性和拟合质量,表明了该方法的优越性和有效性。
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| 关 键 词： | 计算机应用 移动最小二乘法 曲线曲面拟合 权函数 |
| 文章编号： | 1003-0158(2004)01-0084-06 |
| 修稿时间： | 2002-10-21 |
Curve and Surface Fitting Based on Moving Least-Squares Methods |
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| ZENG Qing-hong,LU De-tang. Curve and Surface Fitting Based on Moving Least-Squares Methods[J]. Journal of Engineering Graphics, 2004, 25(1): 84-89 |
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| Authors: | ZENG Qing-hong LU De-tang |
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| Abstract: | A new curve and surface fitting method based on moving least-squares (MLS) methods is introduced. The method improves traditional least-squares method, which makes the approximate curve or surface occupy some advantages, such as high degree of accuracy and high smoothness. The principle, application and characteristic are described and the flowchart for curve and surface fitting based on MLS is given. Two fitting cases are given in the paper, one is curve fitting, the other is fitting surface to scattered data. The MLS fitting results are compared with LS fitting results and the smoothness and fitting quality are analyzed. The fitting results show that using moving least-squares methods to fit curve and surface is superior and effective. |
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| Keywords: | application of computer moving least-squares methods curve and surface fitting weight function |
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