Analysis of dwell time algorithm based on optimization theory for computer controlled optical surfacing

被引：2

作者：

Zhang Y. ^{[1
]}

He J. ^{[1
]}

Wang Y. ^{[1
]}

Luo L. ^{[1
]}

Ji F. ^{[1
]}

Huang W. ^{[1
]}

机构：

[1] Institute of Mechanical Manufacturing Technology, CAEP, Mianyang 621900

来源：

Qiangjiguang Yu Lizishu/High Power Laser and Particle Beams | 2011年 / 23卷 / 12期

关键词：

Computer controlled optical surfacing; Dwell time; Least squares algorithm; Optimization algorithm; Uniform approximation;

D O I：

10.3788/HPLPB20112312.3239

中图分类号：

学科分类号：

摘要：

A mathematical model of the dwell time algorithm based on the optimization theory and matrix equation was established, 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 computation efficiency is crucial for least squares algorithms because it is lower for large computation models. The least squares algorithm 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.

引用

页码：3239 / 3244

页数：5

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