摘要
自由曲线的轮廓常用离散点来表示,而不是已知的数学方程,评定其轮廓度误差非常困难.采用三次样条函数拟合出被测物体的轮廓曲线,并建立了评定线轮廓度误差的精确数学模型,提出一种用逐次逼近思想来评定平面自由曲线的轮廓度误差的方法.该方法能自动实现被测轮廓与理论轮廓之间的位置调整,在得出形状误差的同时得到位置误差,而且是一种符合最小区域原则的评定方法.实验证明,该方法能精确的计算出自由曲线的轮廓度误差.
The profile of the random curve is expressed not by mathematical equation but by discrete points,which makes it very difficult to evaluate the profile error. In this article, the measured profile is expressed by three cubed spline function,a precise mathematical model of evaluation is built and an approaching method for evaluating the profile error of the random plane curve is proposed. This kind of method can automalically adjust the coordinate difference between the measured profile and its measurement reference and separate the position error from the form error. The profile error is evaluated in the sense of the least zone. Experiments proved that the method can obtained the profile error accurately.
出处
《西安工业学院学报》
2006年第1期33-35,40,共4页
Journal of Xi'an Institute of Technology
基金
陕西省教育厅专项科研计划资助项目(03JK125)
