对圆环面刀具五坐标数控加工复杂曲面编程方法进行了综述 ,指出大多数算法仍采用仅适用于点接触加工的以局部微分几何为基础的刀位算法。本文证明了这些算法的缺陷 ,提出了一种针对圆环面刀具的五坐标数控宽行加工复杂曲面的刀位计算的思想。 In this paper, the methods of NC machining complex surface programming for toroidal cutter are reviewed. It is pointed out that most of the algorithms still use the cutter position algorithm based on local differential geometry which is only suitable for point-contact machining. In this paper, the defects of these algorithms are proved, and a new idea of ​​tool position calculation for the complex curved surface of five-axis NC machining with toroidal cutter is proposed.