• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文会议>Novel optical systems design and optimization XI >Optimization using rational Bezier control points and weighting factors
【24h】

Optimization using rational Bezier control points and weighting factors

机译：使用合理的Bezier控制点和加权因子进行优化

获取原文
获取原文并翻译 | 示例
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Optimization of traditional optical systems involves defining a merit function and a corresponding set of variables. The variables are changed to configure the optical system for optimum performance as required from the merit function. The typical variables used in lens design codes for designing classical optical systems are surface curvature, conic constant, aspheric coefficients, thickness, and refractive indices. The surface curvature, conic constant and aspheric coefficients are related directly to a polynomial equation representation of the surface. However, sometimes these variables are not the best choice for optimization especially in illumination system design where the required optical prescription is in the form of computer aided design (CAD) geometrical representation. As an alternative to these traditional variables, optimization using rational Bezier control points and weighting factors as variables is proposed and explored in this paper. Non-uniform rational B-splines (NURBs) using the Bezier basis are natural, graphical design curves exhibiting end-point interpolation whose interior control points and weighting factors are ideal variables for optical system optimization. Furthermore, optical designs created with NURBS are already in the language of CAD and numerical control machining environments and do not require the troublesome process of converting polynomial surfaces to their parametric representations.
机译：传统光学系统的优化涉及定义​​一个价值函数和一组相应的变量。改变变量以将光学系统配置为最佳功能所需的最佳性能。用于设计经典光学系统的透镜设计规范中使用的典型变量是表面曲率，圆锥常数，非球面系数，厚度和折射率。表面曲率，圆锥常数和非球面系数直接与表面的多项式方程表示有关。但是，有时这些变量不是优化的最佳选择，尤其是在照明系统设计中，其中所需的光学处方采用计算机辅助设计（CAD）几何表示的形式。作为这些传统变量的替代方法，本文提出并探索了使用有理贝塞尔曲线控制点和加权因子作为变量的优化方法。使用Bezier基础的非均匀有理B样条（NURB）是自然的图形设计曲线，具有端点插值，其内部控制点和加权因子是光学系统优化的理想变量。此外，使用NURBS创建的光学设计已经使用了CAD和数控加工环境的语言，并且不需要繁琐的将多项式曲面转换为其参数表示形式的过程。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号