| 带插值条件的移动最小二乘曲线拟合 |
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| 引用本文： | 倪慧,李重,宋红星,李静芳. 带插值条件的移动最小二乘曲线拟合[J]. 浙江理工大学学报, 2011, 28(1) |
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| 作者姓名： | 倪慧 李重 宋红星 李静芳 |
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| 作者单位： | 浙江理工大学理学院,杭州,310018 |
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| 基金项目： | 国家自然科学基金，浙江省自然科学基金 |
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| 摘 要： | 提出一种带插值条件的移动最小二乘曲线拟合方法.首先考虑带插值条件的最小二乘拟合,构造新的带插值条件最小二乘拟合方法,它具有拟合函数次数低、计算方便等优点.然后,将该方法推广到移动最小二乘拟合中,得到带插值条件的移动最小二乘曲线,实验结果表明该方法拟合效果更好.
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| 关 键 词： | 插值 曲线拟合 最小二乘法 移动最小二乘法 |
Moving Least Square Curve Fitting with Interpolation Conditions |
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| NI Hui,LI Zhong,SONG Hong-xing,LI Jing-fang. Moving Least Square Curve Fitting with Interpolation Conditions[J]. Journal of Zhejiang Sci-tech University, 2011, 28(1) |
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| Authors: | NI Hui LI Zhong SONG Hong-xing LI Jing-fang |
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| Affiliation: | NI Hui,LI Zhong,SONG Hong-xing,LI Jing-fang(School of Sciences,Zhejiang Sci-Tech University,Hangzhou 310018,China) |
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| Abstract: | This paper presents a method for moving least square curve fitting with interpolation conditions.The problem of least square fitting is first considered.The authors construct a new method for least square fitting with interpolation conditions.It has more advantages : the degree of fitting function is reduced and the computation is convenient.Then,this method is extended to solve the problem of the moving least square fitting with interpolation conditions.The experimental result shows it obtains better fitti... |
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| Keywords: | interpolation fitting of curves least square approximation moving least square approximation |
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