基于最小二乘法的分段三次曲线拟合方法研究

多项式曲线拟合是一种较常用的数据处理方法,但当数据点较多时,只采用一种多项式曲线函数拟合所有数据点难以取得较好的拟合效果。针对传统分段曲线拟合方法中对数据点分段时经验成分较多的不足,提出了一种基于最小二乘法原理的分段三次曲线拟合方法。建立了三次拟合曲线方程,通过实际数据的检验,验证了该方法的拟合效果。

Research of Piecewise Cubic Curve-fitting Method Based on Least-square Principle

Polynomial curve fitting is a usually used data fitting method.When there are too many data for fitting,only just one polynomial curve function cannot acquire good fitting effect.Aiming at the deficiency of traditional piecewise curve-fitting method which contains many experiential elements in the process of separating data into pieces,a new method is put forward which is based on least-square principle.Furthermore,a Cubic Curve-fitting equation deduces and set up.In the end,through a group of actual data,the effect of this new method is validated.