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。
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.
出处
《数据采集与处理》
CSCD
1993年第3期234-237,共4页
Journal of Data Acquisition and Processing
基金
航空科学基金
关键词
曲线拟合
高次曲线
节点
curve fitting, least squares, method, high order curve, blade profile, adaptive, regression analysis
