摘要
针对标准二次曲面拟合算法目标方程复杂,拟合初值不易获取的情况,提出了工业测量领域工件表面标准二次曲面的一种拟合方法。该方法对工件表面常见标准二次曲面进行了重新参数化后得出较为简便的目标函数,采用数值迭代优化进行拟合。针对拟合初值的获取,由于工件的表面往往有多个平面,先对待拟合标准二次曲面周围的平面进行测量拟合,然后利用平面与待拟合标准二次曲面间的位置约束关系来得出拟合初值。仿真实验表明,这种方法可以得出正确拟合结果并具有良好的稳定性。
As algorithms for standard quadric surface fitting often have rather complicated objective function and hard initial estimates,a method for standard quadric surface fitting in industrial metrology is proposed in this paper.The method is based on algebra interactive optimization and makes re-parameterization of several common standard quadric surfaces to get simplified objective function.For initial estimates,usually there are several planes in the work piece which could help.Firstly the fitting for constraint planes is made,and initial estimates would be gained through the position relationships between the constraint planes and the feature to be fitted.The simulated result shows that this method has fine robustness.
出处
《组合机床与自动化加工技术》
北大核心
2012年第5期49-53,共5页
Modular Machine Tool & Automatic Manufacturing Technique
基金
上海大学第五届研究生创新基金(SHUCX 112204)
关键词
工业测量
标准二次曲面拟合
迭代优化
目标方程
迭代初值选取
industrial measurement
standard quadric surface fitting
interactive optimization
objective function
initial estimates
