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移动最小二乘法在NURBS曲线拟合中的应用
引用本文:叶晶,平雪良,陶宇,董宁.移动最小二乘法在NURBS曲线拟合中的应用[J].工具技术,2011,45(1):34-36.
作者姓名:叶晶  平雪良  陶宇  董宁
作者单位:江南大学
摘    要:在NURBS曲线拟合中采用移动最小二乘(Moving Least-Squares)方法,提高了采用传统最小二乘方法得到的拟合曲线的精度及光滑性.详细介绍了移动最小二乘法(MLS)应用于NURBS曲线拟合的原理及特点;以螺杆转子端面点云数据为实例在MATLAB中实现了移动最小二乘NURBS曲线拟合,并将其与传统最小二乘N...

关 键 词:移动最小二乘法  NURKS曲线拟合  传统最小二乘法

Moving Least-Square Method Applied in NURBS Curve Fitting
Ye Jing,Ping Xueliang,Tao Yu,Dong Ning.Moving Least-Square Method Applied in NURBS Curve Fitting[J].Tool Engineering(The Magazine for Cutting & Measuring Engineering),2011,45(1):34-36.
Authors:Ye Jing  Ping Xueliang  Tao Yu  Dong Ning
Abstract:A method for the NURBS curve fitting based on moving least-square method(MLS) is presented. It enhanced precision and smoothness of the fitting curve based on the traditional least-square method. The principles and characteristics of MLS are described in detail. With the point data of screw rotor as an example, the method is demonstrated by MATLAB and compared with the fitting curve based on the traditional least-square.
Keywords:moving least-square method  NURBS curve fitting  traditional least-square method
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