|本期目录/Table of Contents|

[1]倪慧,李重,宋红星,等. 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(01):135-139.
 NI Hui,LI Zhong,SONG Hong xing,et al. Moving Least Square Curve Fitting with Interpolation Conditions[J].Journal of Zhejiang Sci-Tech University,2011,28(01):135-139.
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 带插值条件的移动最小二乘曲线拟合()
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浙江理工大学学报[ISSN:1673-3851/CN:33-1338/TS]

卷:
第28卷
期数:
2011年01期
页码:
135-139
栏目:
出版日期:
2011-02-28

文章信息/Info

Title:
 Moving Least Square Curve Fitting with Interpolation Conditions
文章编号:
16733851 (2011) 01013505
作者:
 倪慧 李重 宋红星 李静芳
 浙江理工大学理学院, 杭州 310018
Author(s):
 NI Hui LI Zhong SONG Hongxing LI Jingfang
 School of Sciences, Zhejiang SciTech University, Hangzhou 310018, China
关键词:
 插值 曲线拟合 最小二乘法 移动最小二乘法
分类号:
O241.2
文献标志码:
A
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。

参考文献/References:

 [1] Lancaster P, Salksuskas K. Surfaces generated by moving least squares methods[J]. Mathematics of Computation, 1981, 37(155): 141158.
[2] Belytschko T, Krongauz Y, Organ D, et al. Meshless method: An overview and recent developments[J]. Computer Methods in Applied Mechanics and Engineering, 1996, 139: 347.
[3] Liu H, Shi P. Discontinuitypreserving moving least squares method[C]//Computational and Information Science, Shanghai, 2004: 562569.
[4] 左传伟, 聂玉峰, 赵美玲. 移动最小二乘方法中影响半径的选取[J]. 工程数学学报, 2005, 22(5): 833838.
[5] 曾清红, 卢德堂. 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.
[6] 颜宁生. 带插值条件的最小二乘法[J]. 北京服装学院学报, 2007, 27(2): 4248.

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备注/Memo

备注/Memo:
 收稿日期: 2010-01-28
基金项目: 国家自然科学基金(60903143);浙江省自然科学基金(Y1090141)
作者简介: 倪慧(1985-),女,山东青岛人,硕士研究生,主要从事数值计算的研究
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