摘要
介绍最小二乘法拟合曲线的原理并且找出这种拟合方法的不足,针对这种不足提出另外一种新的拟合方法正交多项式拟合。这种方法能弥补最小二乘拟合中的x拟合y和y拟合x出现的曲线不一样的现象。这种方法经过数据实验精度比最小二乘法拟合更高,而且这种方法中的多项式系数a可以根据自己的精度需要来自主选择迭代的次数,使得结果更加精确。
This paper introduces principle of least-squares fitting curve and finds their shortages.In view of these shortages,putting in a new least squares fitting of orthogonal polynomial.This way can compensate a phenomenon that the consequence is different in least-squares fitting curve while x fitting y or y fitting x.This degree of precision is more higher than least-squares fitting curve,and this method of polynomial coefficients according to their accuracy can independently choose the iteration times,make more accurate results.
出处
《东华理工大学学报(自然科学版)》
CAS
2010年第4期398-400,共3页
Journal of East China University of Technology(Natural Science)
基金
东华理工大学研究生创新项目"基于3S技术在水土流失评价中的应用--以抚州为例"(DYCA10007)
关键词
最小二乘拟合
正交多项式
随机误差
残差
least-squares fitting orthogonal polynomial random error residual