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基于混合迭代角谱算法的三维计算机生成全息术。

Three-dimensional computer-generated holography based on the hybrid iterative angular spectrum algorithm.

作者信息

Zhai Zhongsheng, Li Qinyang, Xiong Zhi, Feng Wei, Lv Qinghua

出版信息

Opt Express. 2023 Nov 6;31(23):39169-39181. doi: 10.1364/OE.505773.

Abstract

This paper proposes a novel three-dimensional hologram calculation method based on the angular spectrum approach, with the aim of reducing the noise generated during the hologram reconstruction process. The proposed algorithm divides the spatial domain into multiple layers and employs the angular spectrum method to propagate the image between these layers, thus avoiding the paraxial approximation. To enhance the quality of the hologram, an error iteration algorithm is utilized to alleviate the occurrence of aliasing errors when directly superimposing holograms. Moreover, constraint factors are introduced between different layers within the same region to effectively utilize spatial resources for multi-image reconstruction, thereby mitigating the noise caused by inter-layer crosstalk. The feasibility of the proposed method is demonstrated through numerical simulations and optical experiments, highlighting its potential applicability to a wide range of three-dimensional reconstruction algorithms.

摘要

本文提出了一种基于角谱方法的新型三维全息图计算方法,旨在减少全息图重建过程中产生的噪声。所提出的算法将空间域划分为多个层,并采用角谱方法在这些层之间传播图像,从而避免了傍轴近似。为了提高全息图的质量,利用误差迭代算法来减轻直接叠加全息图时出现的混叠误差。此外,在同一区域的不同层之间引入约束因子,以有效利用空间资源进行多图像重建,从而减轻层间串扰引起的噪声。通过数值模拟和光学实验证明了所提方法的可行性,突出了其在广泛的三维重建算法中的潜在适用性。

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