关键词: 共轭梯度优化算法, 函数逼近, 曲面仿真, 神经网络

Abstract: In laser machining on complex curved surface, interpolation sets of sampling coordinate measured points are used to construct the curved surface function, by which arbitrary coordinate of curved surface can be determined. BP algorithm about artificial neural network may be employed to carry out interpolation, but it is hard to reach machining precision due to low calculating precision leading to high orientation error. A novel interpolation method, based on conjugate gradient opti-mization algorithm about artificial neural network, is proposed and introduced, and feasibility of the method is verified via orientation simulation of the curved surface. The new algorithm will be used to provide a solution of the accurate three-dimensional orientation for laser machining.

Key words: Conjugate gradient optimization algorithm Curved surface simulation, Neural network Function approximation