Fast calculation of computer-generated hologram of line-drawn objects without FFT
Fast calculation of computer-generated hologram of line-drawn objects without FFT
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DOI：
10.1364/oe.389778
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发表时间：
2020-05-25
期刊：
影响因子：
3.8
通讯作者：
Ito, Tomoyoshi
中科院分区：
文献类型：
--
作者：
Nishitsuji, Takashi;Shimobaba, Tomoyoshi;Ito, Tomoyoshi
虽然全息显示技术是用于虚拟和增强现实的最有前途的三维（3D）显示技术之一，但是产生计算机生成的全息图（CGH）以数字地记录和显示3D图像所需的巨大计算工作量对该技术的实施提出了重大障碍。实现快速CGH计算的最有效方法之一是衍射计算（例如，角谱衍射）。不幸的是，计算复杂性随着CGH分辨率的增加而增加，这决定了3D图像的大小。因此，即使对于简单的3D图像，也仍然需要巨大的计算来显示合理大小的3D图像。为了解决这个问题，我们在这里提出了一个快速计算全息算法的3D对象组成的线绘制的对象在不同的深度层。由单一深度处的连续线形成的孔径可以被视为一系列对准的点光源，并且波前会聚足够长的线。因此，可以通过合成沿着线沿着会聚的波前来计算线绘制物体的CGH。数值实验表明，与基于FFT的方法相比，所提出的方法提供了一个因素-56增益的速度计算16-k分辨率CGH从3D对象组成的12个线绘制的对象在不同的深度。(C)根据OSA开放获取出版协议的条款，2020年美国光学学会
Although holographic display technology is one of the most promising three-dimensional (3D) display technologies for virtual and augmented reality, the enormous computational effort required to produce computer-generated holograms (CGHs) to digitally record and display 3D images presents a significant roadblock to the implementation of this technology. One of the most effective methods to implement fast CGH calculations is a diffraction calculation (e.g., angular spectrum diffraction) based on the fast-Fourier transform (FFT). Unfortunately, the computational complexity increases with increasing CGH resolution, which is what determines the size of a 3D image. Therefore, enormous calculations are still required to display a reasonably sized 3D image, even for a simple 3D image. To address this issue, we propose herein a fast CGH algorithm for 3D objects comprised of line-drawn objects at layers of different depths. An aperture formed from a continuous line at a single depth can be regarded as a series of aligned point sources of light, and the wavefront converges for a sufficiently long line. Thus, a CGH of a line-drawn object can be calculated by synthesizing converged wavefronts along the line. Numerical experiments indicate that, compared with the FFT-based method, the proposed method offers a factor-56 gain in speed for calculating 16-k-resolution CGHs from 3D objects composed of twelve line-drawn objects at different depths. (C) 2020 Optical Society of America under the terms of the OSA Open Access Publishing Agreement