结合示教处理过程提出了一种新的法矢二次测量方法，通过算法来提高测得法矢的精度，然后再进行插补处理，这样可极大地提高所获取的被加工面法矢的精度，因而较好地保证了激光切割加工的质量．同时为了更好地提高示教效率，对示教点的采集策略也进行了探讨 A new method for the second measurement of normal vectors is proposed based on the teaching process. The precision of the measured normal vectors is improved by the algorithm and then interpolated. This can greatly improve the accuracy of the acquired normal vector , Which better ensure the quality of laser cutting. At the same time, in order to improve the teaching efficiency, the collection strategy of teaching point is also discussed