基于加工表面纹理连通区域的刀具磨损状态研究

在车削加工过程中,随着刀具磨损量的增加,表现为工件表面的纹理结构发生变化,依据工件纹理的变化能够间接判断刀具的磨损程度。具体处理方法为:选取阈值作图像分割,对二值图像作区域标记,区域标记的最大值称作连通区域数,将二值图像的连通区域数作为刀具磨损的特征量。实验结果表明,随着刀具磨损量的增加,图像的连通区域数随之增加,它为刀具磨损在线检测提供了一种有效的手段。

基于加工表面纹理连通区域的刀具磨损状态研究

在车削加工过程中,随着刀具磨损量的增加,表现在工件表面的纹理结构发生变化,依据工件纹理的变化能够间接判断刀具的磨损程度。选取阈值作图像分割,对二值图像作区域标记,区域标记的最大值称作连通区域数,将二值图像的连通区域数作为刀具磨损的特征量。实验结果表明,随着刀具磨损量的增加,图像的连通区域数随之增加,它为刀具磨损在线检测提供了一种有效的手段。

On Univalent Functions in Multiply Connected Domains

The present article is an account of results on univalent functions in multiply connected domains obtained by the author. It contains two rery simple proofs of Villat's formula; Schwarz's formula, Poisson's formula and Poisson-Jensen formula in multiply connected domains; the differentiability theorem with respect to the parameter of analytic function family containing one parametric variable on multiply connected domains; variation theorem and parametric representation theorem of univalent functions in multiply connected domains; the solution of an extremal problem of differentiable functionals.

A Semi-Analytical Approach to Green＇s Functions for Problems in Multiply-Connected Regions on a Spherical Surface

This work aims at potential fields generated by point sources in conductive perforated fragments of spherical shells. Such fields are interpreted as profiles of Green＇s functions of relevant boundary-value problems stated in multiply-connected regions for Laplace equation written in geographical coordinates. Those are efficiently computed by a modification of the method of functional equations, with closed analytical forms preliminary obtained for Green＇s functions for the corresponding simply-connected regions.