针对硬脆非球面光学镜硬度高、型面特殊、加工面积大、加工质量要求高的特点，提出了一种基于法向跟踪的、以圆筒形砂轮端面进行磨削的非球面范成精密加工方法。在此基础上，进一步设计了智能化的实时检测与自适应控制方法。应用这些方法实现了磨削运动轨迹的精确控制、砂轮磨损的自动补偿、磨削压力的自动控制、工艺参数的自动调节。实验结果表明：以圆筒砂轮端面进行磨削的、基于法向跟踪的非球面范成精密磨削法可以保证非球面的面形精度，砂轮磨损实时检测与自适应控制方法能提高加工质量和效率。

A method of image edge detection using the Hopfield neural network (HNN) is proposed in this paper. The image edge parameters are introduced in detail, and the energy function of HNN is given based on the edge parameters. Tests on the image edge detection show that images detected by the proposed method have good edge closeness and true edge, at the same time it has good anti-noise performance. The image edge detection using HNN is better than that obtained by some other edge detection operators.