三维空间点中基于最小二乘法的分段直线拟合方法

Three-dimensional point piecewise linear fitting method based on least square method

先将空间直线方程等价转化,这样就能够结合平面上的分段曲线拟合思想,再根据最小二乘法求出分段直线的方程,从而提出了三维空间离散点的最小二乘分段直线拟合方法,进而揭示三维数据之间的内在规律,再通过实验验证方法的有效性。

This article will first space linear equation of equivalent transformation, so that it can be combined with the piecewise curve fitting in the plane of the mind, according to least square method and the piecewise linear equation, thus puts forward the three dimensional space discrete points of least squares piecewise linear fitting method, so as to reveal the inherent law between the 3 d data, to verify the validity of the method through the experiment.