带插值条件的移动最小二乘曲线拟合  

Moving Least Square Curve Fitting with Interpolation Conditions

作　　者：倪慧[1] 李重[1] 宋红星[1] 李静芳[1] 

机构地区：[1]浙江理工大学理学院,杭州310018

出　　处：《浙江理工大学学报（自然科学版）》2011年第1期135-139,共5页Journal of Zhejiang Sci-Tech University(Natural Sciences)

基　　金：国家自然科学基金(60903143);浙江省自然科学基金(Y1090141)

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。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 fitting effect.

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[理学—计算数学]