A Discrete Algorithm for the Far-Field Reflector Problem Based on the Optimal Mass Transport Theory
发布时间:2023-09-27
点击次数:
- DOI码:
- 10.1109/ICDH57206.2022.00042
- 所属单位:
- Institute of Electrical and Electronics Engineers Inc.
- 发表刊物:
- Proceedings - 2022 9th International Conference on Digital Home, ICDH 2022
- 摘要:
- Reflector with freeform pattern has been proved to be more challenging to design, which suffered from the inefficiency of solving nonlinear differential equations. In this paper, we propose a discrete computational algorithm for designing a reflective surface that can generate a prescribed irradiance distribution on a certain region of receiver plane for a given point light source. Fig. 1 shows an example of our results. The algorithm is based on the framework of the Monge-Kantorovich optimal mass transport theory. We use the geodesic polyhedron to discretize the spherical domain. The reflector is determined by a finite number of confocal paraboloids of revolution and is obtained via optimizing the Wassertein distance between light source and receiver plane. We incorporate two tricky strategies to accelerate the optimization process: the multi-level discretization and the cache of candidate paraboloids.
- 合写作者:
- Liu Bailve,Zhou Yuming,Gu Xianfeng
- 第一作者:
- Su Kehua
- 论文类型:
- 期刊论文
- 通讯作者:
- Lei Na
- 文献类型:
- J
- 页面范围:
- 224-232
- 是否译文:
- 否
- 发表时间:
- 2022-12-01
- 收录刊物:
- EI