封闭离散点的曲线拟合方法  

Curve fitting method for closed discrete points

作　　者：顾天奇[1] 张雷[1] 冀世军[1] 谭晓丹[1] 胡明[1] 

机构地区：[1]吉林大学机械科学与工程学院,长春130022

出　　处：《吉林大学学报（工学版）》2015年第2期437-441,共5页Journal of Jilin University:Engineering and Technology Edition

基　　金：'863'国家高技术研究发展计划项目(2012AA041304);高等学校博士学科点专项科研基金项目(20110061110022)

摘　　要：基于移动最小二乘法构造了一种新的封闭离散点拟合方法。该方法利用移动最小二乘法基于点的拟合原理,在离散点之间定义拟合点,划分支持域半径,实现了支持域有序的划分方式。基于封闭离散点的几何特征,提出一种新的权值确定方法,该方法通过构造一个与弦长有关的点,赋予支持域内各点的权值,使临近点的权值变化逐步衰减,实现了拟合曲线的局部逼近。利用提出的封闭曲线拟合方法对叶片截面形线离散点进行拟合,验证了该方法的有效性。A new curve fitting method based on moving least square is constructed for closed discrete points.According to the moving least square theory,the fitting point is obtained between discrete points and the influence domain with defined radius is determined in order.Considering the geometric features of discrete points,a new approach to determine the weights of neighbor points is proposed for the local approximants by constructing apoint associated with the chord length,which makes the weights of neighboring points vary decreasingly.The discrete points of blade-section profile are fitted and the results confirm and validate the proposed fitting method.

关 键 词：机械工程 移动最小二乘法 曲线拟合 封闭离散点 叶片 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]