强激光与粒子束2011，Vol.23Issue(12)：3239-3244,6.DOI:10.3788/HPLPB20112312.3239
计算机控制光学抛光驻留时间求解中两类优化算法的分析
Analysis of dwell time algorithm based on optimization theory for computer controlled optical surfacing
摘要
Abstract
A mathematical model of the dwell time algorithm based on the optimization theory and matrix equation was es-tablished, which aims to minimize the 2-norm or ∞-norm of the residual surface error. In the theory, the dwell time solution meets almost all the requirements of precise computer numerical control(CNC) without any need for extra data processing. Several practical methods were discussed on how to solve the optimization model and obtain an optimal solution. Also analyses of the two algorithms were performed in this paper. The simulations show that both of the two algorithms have high precision. The compu-tation efficiency is crucial for least squares algorithms because it is lower for large computation models. The least squares algo-rithm is numerically robust, while the uniform approximation algorithm isn't. Therefore, in practice it is advised to use the least squares algorithm more often for it have an excellent performance.关键词
计算机控制光学表面成形技术/驻留时间/优化算法/最小二乘法/最佳一致逼近Key words
computer controlled optical surfacing/ dwell time/ optimization algorithm/ least squares algorithm/ uni-form approximation分类
机械制造引用本文复制引用
张云飞,何建国,王亚军,罗丽丽,吉方,黄文..计算机控制光学抛光驻留时间求解中两类优化算法的分析[J].强激光与粒子束,2011,23(12):3239-3244,6.基金项目
国防科技工业局消化吸收项目 （）
