A Survey of Signal Processing Problems and Tools in Holographic Three-Dimensional Television
A Survey of Signal Processing Problems and Tools in Holographic Three-Dimensional Television
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DOI：
10.1109/tcsvt.2007.909973
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发表时间：
2007-11
影响因子：
8.4
通讯作者：
L. Onural;A. Gotchev;Haldun M. Özaktas;E. Stoykova
中科院分区：
文献类型：
--
作者：
L. Onural;A. Gotchev;Haldun M. Özaktas;E. Stoykova
衍射学和全息术是信号理论和处理的丰富应用领域。最近在3DTV显示器方面的工作提出了特别具有挑战性的信号处理问题。在文献中存在各种计算瑞利-索末菲、菲涅耳和夫琅和费衍射的方法。可以有效地计算平行平面和倾斜平面之间的绕射。衍射场的离散化和量子化产生了有趣的理论和实践结果，与通常使用的奈奎斯特抽样相比，可以实现有效的方案。有关计算全息的文献为全息3DTV的相关问题提供了很好的资源。傅立叶变换、沃尔什-哈达玛变换、分数傅立叶变换、线性正则变换、菲涅耳变换和小波变换的快速算法，以及基于优化的技术，如最佳正交基、匹配追踪、基追踪等，是波传播、衍射、全息术和相关问题的相关信号处理技术。原子分解、多分辨率技术、Gabor函数和Wigner分布是已经或可能应用于光学问题的信号处理技术。在波动光学和信号处理的交叉点上解决这些问题的研究不仅将促进3DTV系统的发展，而且将有助于光学和信号处理理论的根本性进步。
Diffraction and holography are fertile areas for application of signal theory and processing. Recent work on 3DTV displays has posed particularly challenging signal processing problems. Various procedures to compute Rayleigh-Sommerfeld, Fresnel and Fraunhofer diffraction exist in the literature. Diffraction between parallel planes and tilted planes can be efficiently computed. Discretization and quantization of diffraction fields yield interesting theoretical and practical results, and allow efficient schemes compared to commonly used Nyquist sampling. The literature on computer-generated holography provides a good resource for holographic 3DTV related issues. Fast algorithms to compute Fourier, Walsh-Hadamard, fractional Fourier, linear canonical, Fresnel, and wavelet transforms, as well as optimization-based techniques such as best orthogonal basis, matching pursuit, basis pursuit etc., are especially relevant signal processing techniques for wave propagation, diffraction, holography, and related problems. Atomic decompositions, multiresolution techniques, Gabor functions, and Wigner distributions are among the signal processing techniques which have or may be applied to problems in optics. Research aimed at solving such problems at the intersection of wave optics and signal processing promises not only to facilitate the development of 3DTV systems, but also to contribute to fundamental advances in optics and signal processing theory.