中文摘要：

面齿轮齿面的数字化是齿面检测的关键技术之一．针对在三坐标测量机上进行的齿面采样，提出一种根据给定精度确定采样网格点数量的方法：对采样网格边界线进行初步自适应，利用截平面法得到初始采样网格；同时根据给定的采样网格点数量，借助基于形状的采样算法，对初始采样网格进行迭代，生成自适应采样网格，最终实现面齿轮齿面数字化检测采样的自适应规划。

英文摘要：

Digitizing of face gear tooth surface is one of the key technologies on the tooth surface measure- ment. Aiming at the sampling of tooth surface on CMM （coordinate measuring machine） , a method to deter- mine the quantity of the sampling mesh points according to given precision was presented. The boundary lines of sampling mesh were adapted firstly and the initial sampling mesh could be achieved by the method of cut- ting-planes. According to the given quantity of the sampling mesh points, there was iterative computation for the initial sampling mesh by the adaptive sampling algorithm based on the measure of curvature, and then the adaptive programming method of face gear tooth surface was developed.