直线度误差目标函数凸凹性的研究

Research on the convex and concave character of straightness error objective function

证明了直线度误差最小区域评定法的目标函数是一维欧式空间R1中的连续、不可微的凸函数 ,从而证明了目标函数的全局极小值是唯一的。

It is proved that the objective function for straightness error by minimum zone evaluation is a continuous and non-differentiable and convex one defined in one-dimensional Euclidean space R. Therefore, the uniqueness of its global optimum is proved.