中文摘要：

刀具半径补偿技术是CNC系统中的关键技术之一，是加工轨迹插补运算的数据来源与依据。根据编程轨迹及刀具半径值规划出刀具中心的运动轨迹，尤其是轨迹转接点坐标值，是保证零件轮廓精度的必要前提。引入方向矢量的概念，提出一种基于方向矢量的三维刀具半径补偿技术，深入研究三坐标直线加工刀具半径补偿原理与实现方法；根据空间几何要素之间的位置关系，建立编程轮廓刀心轨迹的相应算法。仿真结果证明了该算法的可行性。

英文摘要：

Cutter radius compensation is the key technology in CNC system which is the data sources and basis of contour interpolation. It is the necessary premise to guarantee the part contour precision according to programming track and cutter radius to plan the tool center path, especially the coordinates of the joint points. The concept of orientation vector was introduced and a technology of 3D cutter radius compensation based on vector method was put forward. The theory and method of cutter radius compensation in three-co- ordinates linear processing were studied. The corresponding algorithm of tool center path for programming contour was established ac- cording to the position relation between the geometric elements. The simulation result proves that the algorithm is feasible.