点式的
稳健性(进化)
计算机科学
光学
边值问题
缩小
几何光学
移动最小二乘法
边界(拓扑)
最小二乘函数近似
算法
数学优化
数学
物理
估计员
数学分析
生物化学
化学
统计
基因
作者
Shili Wei,Zhengbo Zhu,Zichao Fan,DingLin Ma
出处
期刊:Optics Express
[Optica Publishing Group]
日期:2020-01-18
卷期号:28 (3): 3811-3811
被引量:33
摘要
Computing a source-target map that yields integrable surface normal field is quite challenging for freeform illumination design. Here, we propose a least-squares ray mapping method to calculate a superior ray mapping by iteratively correcting an integrable map to approach the energy conservation and boundary condition. The process is implemented via solving three minimization problems. The first two problems can be figured out pointwise and the third can be converted to two decoupled Poisson equations with Robin boundary conditions. We demonstrate the robustness and high efficiency of the proposed method with several design examples.
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