Zhang Yaping, Fan Houxin, Wang Fan, Gu Xianfeng, Qian Xiaofan, Poon Ting-Chung
Appl Opt. 2022 Feb 10;61(5):B363-B374. doi: 10.1364/AO.444973.
In this review paper, we first provide comprehensive tutorials on two classical methods of polygon-based computer-generated holography: the traditional method (also called the fast-Fourier-transform-based method) and the analytical method. Indeed, other modern polygon-based methods build on the idea of the two methods. We will then present some selective methods with recent developments and progress and compare their computational reconstructions in terms of calculation speed and image quality, among other things. Finally, we discuss and propose a fast analytical method called the fast 3D affine transformation method, and based on the method, we present a numerical reconstruction of a computer-generated hologram (CGH) of a 3D surface consisting of 49,272 processed polygons of the face of a real person without the use of graphic processing units; to the best of our knowledge, this represents a state-of-the-art numerical result in polygon-based computed-generated holography. Finally, we also show optical reconstructions of such a CGH and another CGH of the Stanford bunny of 59,996 polygons with 31,724 processed polygons after back-face culling. We hope that this paper will bring out some of the essence of polygon-based computer-generated holography and provide some insights for future research.
在这篇综述论文中，我们首先对基于多边形的计算机生成全息术的两种经典方法提供全面的教程：传统方法（也称为基于快速傅里叶变换的方法）和解析方法。实际上，其他现代基于多边形的方法是基于这两种方法的思想构建的。然后，我们将介绍一些具有最新发展和进展的选择性方法，并在计算速度和图像质量等方面比较它们的计算重建结果。最后，我们讨论并提出一种称为快速3D仿射变换方法的快速解析方法，并基于该方法，在不使用图形处理单元的情况下，对由真实人物面部的49272个处理过的多边形组成的3D表面的计算机生成全息图（CGH）进行数值重建；据我们所知，这代表了基于多边形的计算生成全息术中的最新数值结果。最后，我们还展示了这样一个CGH以及另一个经过背面剔除后具有31724个处理过的多边形的59996个多边形的斯坦福兔子CGH的光学重建。我们希望本文能揭示基于多边形的计算机生成全息术的一些本质，并为未来的研究提供一些见解。
