正交多项式曲线拟合

Orthogonal Polynomial Curve Fitting

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.