提出了一种基于反距离权重(Inverse Distance Weighting, IDW)算法修正坐标测量机(Coordinate Measuring Machine, CMM)体积误差的方法。首先利用激光追踪仪多站位测量技术并结合列文伯格-马夸尔特 (Levenberg-Marquardt, L-M) 算法,获取了CMM空间测量点的体积误差。随后利用IDW算法对测量点的体积误差进行空间插值,从而获得了CMM整个测量空间内任意点的体积误差。实验结果表明,IDW算法对测量路径要求低,插值精度高,各个方向体积误差的误差吻合度均可达96%以上。研究结果为工件在测量空间中最优测量位置的选取提供了参考。

In this paper, a method for volume error calibration of a coordinate measuring machine (CMM) is proposed, which is based on the inverse-distance weighting (IDW) algorithm. The volume errors of the CMM spatial measurement points are firstly obtained using the laser tracing multi-station measurement technique combined with the Levenberg-Marquardt (L-M) algorithm. Subsequently the IDW algorithm is used to spatially interpolate the volume errors of the measurement points and thus the volume error of any point in the whole measurement space of CMM is obtained. The experimental results show that the IDW algorithm has low requirements for measurement paths, high interpolation accuracy, and an error coincidence degree of higher than 96% for volume error in each direction. The research results provide a reference for the selection of the optimal measurement position for workpieces in the measurement space.