A Research on Generation of Caustics via Inverse Problem Approaches

在这项研究中，我们开发了自动计算透明折射物体几何形状的方法，该几何形状产生用户指定的所需焦散模式。首先，我们开发了一种方法来表示表面折射光（折射表面）使用一组离散的面。然后我们开发了另一种使物体可重新排列的方法，通过结合一组透明的折光棒。通过重新排列同一组木棒，我们可以获得不同的腐蚀性图案（像素艺术）。最后，我们开发了一种计算连续折射率表面的方法，并使高质量焦散的生产成为可能，包括尖锐和薄的特征。

In this research, we developed methods for automatically computing the geometry of the transparent refractive object which produces a desired caustic pattern specified by the user. First, we developed a method to represent the surface refracting the light (refraction surface) using a discrete set of facets. Then we developed another method for making the object rearrangeable, by incorporating a set of transparent refractive sticks. By rearranging the same set of sticks, we can obtain different caustic patterns (pixel art). Finally, we developed a method for computing continuous refractive surface, and enabled production of high quality caustics, including sharp and thin features.