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高次曲线最佳节点分段拟合法
引用本文:张乐年,魏绍凯.高次曲线最佳节点分段拟合法[J].数据采集与处理,1993,8(3):234-237.
作者姓名:张乐年  魏绍凯
作者单位:南京航空航天大学机械工程系,南京汽轮电机厂,南京航空航天大学机械工程系 南京,210016,南京,210027,南京,210016
摘    要:高次曲线最佳节点分段拟合法,是指拟合曲线段数为两段,而分段点(即节点)和方程次数可随精度要求进行自适应选择的方法。本文介绍了根据最小二乘原理,用分段高次多项式曲线进行数据拟合时求最佳分段点和最佳系数的思想、数学模型和具体实现步骤,并通过实例验证了该方法的有效性。

关 键 词:曲线拟合  高次曲线  节点

Segmental Fitting Method of Finding out Best Point for High Order Curves
Zhang Lenian.Segmental Fitting Method of Finding out Best Point for High Order Curves[J].Journal of Data Acquisition & Processing,1993,8(3):234-237.
Authors:Zhang Lenian
Abstract:Segmental fiting method of finding out the best point for high order curves refers to that the fitting curve has two segments, and the segmental point and the order of equation may be selected as precision requires. The idea, mathematical model and specific practical steps for finding the optimal segment point and coefficient are presented in this paper according to the principle of least squares when a segmental high order polynomial curve is used to fit data. The effectiveness of the method is also verified through a practical example.
Keywords:curve fitting  least squares  method  high order curve  blade profile  adaptive  regression analysis  
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