基于坐标转换的回转表面形状误差最小二乘评定

针对回转表面评定中最小二乘拟合对迭代初值依赖性强、对回转轴方向和测点分布具有限制的不足,提出了一种基于最小二乘法的回转表面通用评定方法,该方法通过被测表面上离散点坐标的旋转和平移,将非线性优化模型线性化。通过实例进行了试验验证,结果表明,该方法简单易行，鲁棒性好，可快速有效正确地评定任意轴线方向的回转表面形状误差。

Calculation of Rotation Surface Form Errors by Least Square Based on Coordinate Transformation

This paper presented a common least square fitting method to improve the dependency on iteration initial value and reduce limit on the axial direction. This method translated nonlinear optimization model into a linear optimization model using coordinate transformation method. An example was presented to validate the method given herein. The results indicate that this method can evaluate the form errors of rotation surface quickly and accurately with no limit on the axial direction.