平面度误差目标函数凸凹性的研究

Study on the convex and concave character of flatness error objective function

证明了平面度误差最小区域评定法的目标函数是二维欧氏空间R2 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 flatness error by minimum zone evaluation is a continuous and non-differentiable and convex one defined in two-dimensional Euclidean space R 2 . Therefore, the uniqueness of its global optimum is proved.