Light in Power: A General and Parameter-free Algorithm for Caustic Design
Light in Power: A General and Parameter-free Algorithm for Caustic Design
复制标题
Light in Power：用于焦散设计的通用无参数算法
DOI：
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
Boris Thibert
中科院分区：
文献类型：
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作者：
Q. Mérigot;Jocelyn Meyron;Boris Thibert
我们在本文中提出了一个通用的和无参数的算法，以有效地建立各种各样的光学元件，如镜子或透镜，满足一些光能约束。在我们的所有问题中，给定一个准直或点光源和反射或折射后的期望照明，目标是设计反射镜或透镜的几何形状，其将光源发射的光精确地传输到目标上。我们首先提出了一个总体框架，并表明，八个不同的光学元件设计问题的金额解决光能量守恒方程，涉及计算的可见度图。我们表明，这些图都具有相同的结构，可以通过相交的3D功率图与平面或球形域。这使我们能够提出一个有效的和完全通用的算法，能够解决八个光学元件的设计问题。我们的解决方案可以满足设计约束，如凸性或曲率，并始终是平面或球面上的图形。我们证明了我们的算法在众多的模拟例子的有效性。
We present in this paper a generic and parameter-free algorithm to efficiently build a wide variety of optical components, such as mirrors or lenses, that satisfy some light energy constraints. In all of our problems, one is given a collimated or point light source and a desired illumination after reflection or refraction and the goal is to design the geometry of a mirror or lens which transports exactly the light emitted by the source onto the target. We first propose a general framework and show that eight different optical component design problems amount to solving a Light Energy Conservation equation that involves the computation of Visibility diagrams. We show that these diagrams all have the same structure and can be obtained by intersecting a 3D Power Diagram with a planar or spherical domain. This allows us to propose an efficient and fully generic algorithm capable to solve the eight optical component design problems. Our solutions can satisfy design constraints such as convexity or concavity and are always graphs over the plane or the sphere. We show the effectiveness of our algorithm on numerous simulated examples.