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两种移动最小二乘法在曲面拟合中的对比研究
引用本文:王丽萍,任红萍.两种移动最小二乘法在曲面拟合中的对比研究[J].太原师范学院学报(自然科学版),2014(1):18-22.
作者姓名:王丽萍  任红萍
作者单位:太原科技大学应用科学学院,山西太原030024
摘    要:文章首先介绍了移动最小二乘逼近法和移动最小二乘插值法,然后分别将两种方法运用于曲面拟合,用MATLAB编程实现算例,对比精确解和两个数值解.结果表明移动最小二乘插值法精度较高.

关 键 词:无网格方法  移动最小二乘逼近法  移动最小二乘插值法  权函数  形函数

The Comparative Study about Two Kinds of Moving Least Squares Methods in Surface Fitting
Wang Liping,Ren Hongping.The Comparative Study about Two Kinds of Moving Least Squares Methods in Surface Fitting[J].Journal of Taiyuan Normal University:Natural Science Edition,2014(1):18-22.
Authors:Wang Liping  Ren Hongping
Institution:(School of Applied Science,Taiyuan University of Science and Technology, Taiyuan 030024,China)
Abstract:To introduce the moving least-squares approximation and the interpolating moving least-squares method,then applied respectively two kinds of methods to surface fitting,the two algorithms use MATLAB programming,compared the exact solution with two numerical solutions,the results show that the precision of the interpolating moving least-squares method is higher.
Keywords:meshless method  moving least-squares approximation(MLS)  interpolating moving least-squares method(IMLS)  weight function  shape function
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