CMM测量中基于确定采样策略的圆锥面拟合方法  

Cone Fitting Based on Certain Sampling Strategy in CMM Metrology

作　　者：张俐[1] 郭超朋 刘京亮[2] 

机构地区：[1]北京航空航天大学机械工程及自动化学院,北京100191 [2]北京航空精密机械研究所,北京100076

出　　处：《测试技术学报》2018年第1期1-6,共6页Journal of Test and Measurement Technology

基　　金：国防基础科研重点资助项目(JCKY2016205B021)

摘　　要：为解决三坐标测量机测量软件开发中存在的圆锥面拟合参数初值计算不理想而导致的拟合结果不准确的问题,本文研究基于采样策略的圆锥面拟合算法.在利用一种参数化方法建立圆锥面距离函数后,确定圆锥面采样策略,并据此计算圆锥面几何参数初值,最后利用非线性最小二乘法优化圆锥面距离函数,实现圆锥面精确拟合.设计实验,对圆锥面拟合方法进行验证,实验数据表明本文采用方法可以有效地解决三坐标测量软件中圆锥面拟合几何参数初值计算不准确的问题,实现圆锥面的精确拟合.The algorithm of cone fitting based on certain sampling strategy is explored for overcoming the shortcomings of imprecise result of cone fitting,because of unfaithful the calculations of the initial geometric parameters in CMM metrology software development.Firstly,aparameterized method is used to construct the geometric distance function of cone.Then certain sampling strategy is defined to calculate the initial geometric parameters.Afterwards nonlinear least-squares method is used to optimize the geometric distance function,consequently precise fitting of cone is implemented.The experiment is designed to verify accuracy of the method.The experiment data proves that the proposed method can get initial geometric parameters simply and efficiently and fit the surface precisely.

关 键 词：圆锥面拟合 采样策略 参数初值 非线性最小二乘法 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]