针对现有的空间自由曲面数控编程系统和ＣＡＤ／ＣＡＭ软件，往往只能生成球面刀加工轨迹，以及实际切削加工中极少采用球面刀，多用小直径的立铣刀等非球面刀来替代球面刀完成空间自由曲面的切削加工这一现状，提出了一个在空间自由曲面上生成非球面刀加工轨迹的新方法──点涉法。只要给定空间自由曲面的参数表达式，就可选用点涉法生成该曲面的非球面刀加工轨迹。 For the existing space freeform NC programming system and CAD / CAM software, often only generate spherical cutter path, and the actual use of very few spherical cutter knife, multi-purpose small diameter end mill and other aspherical knife to replace the spherical Knife to complete the space free-form surface machining of the status quo, put forward a free-form space on the surface to generate aspheric knife machining path of a new method ─ ─ point method. Given a parametric expression of a free-form surface space, you can choose point-by-point to generate the aspheric tool path for that surface.