基于α-壳的圆度误差评定无关点删除算法  

Deleting Unassociated Points for Roundness Evaluation Based on α-Hull

作　　者：张勇[1] 陈强[1] 

机构地区：[1]清华大学机械工程系先进成形制造教育部重点实验室,北京100084

出　　处：《计量学报》2007年第1期14-17,共4页Acta Metrologica Sinica

基　　金：国家自然科学基金(50275083);高校博士点基金(20020003053)

摘　　要：采用最小区域圆法进行圆度误差评定时,圆度误差的最终评定结果取决于位于最小区域圆上的采样点的坐标,而与其它点无关。删除圆度误差测量中的这些无关点可有效降低圆度评定算法的计算复杂度。将计算几何中α-壳的概念应用于圆度误差评定过程中;提出了一种在保证评定结果正确的前提下圆度评定中无关点的删除准则和删除算法;实验证明,本文提出的方法可有效删除圆度评定过程中的无关点。A profile roundness is depended on the position of those points on the minimum zone circles （MZC） of the profile and is not associated with others. So-called unassociated points for roundness evaluation are those that are .not on the MZCs. Calculating complexity will be decreased if those unassociated points are deleted before rounflness evaluation. An a-hull, a conception in the field of computational geometry, is adopted in roundness evaluation, based on which a theorem and an algorithm are presented for culling the profile measured points. Experiments show that this method for unassociated points deleting is effective.

关 键 词：计量学 圆度 误差评定 计算几何 α-壳 无关点 

分 类 号：TB921[一般工业技术—计量学]