A Survey of Signal Processing Problems and Tools in Holographic Three-Dimensional Television

Abstract

Abstract-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.

Wireless Holographic Image Communications Relying on Unequal Error Protected Bitplanes

“…A number of compression techniques were discussed in [20], [21], including classic lossless compression, quantization, Fourier-domain processing, wavelet analysis etc. The lossy compression of phase-shift based digital holograms was investigated in [22], where both the real and imaginary streams were quantized, followed by a bit-packing operation.…”

3D Capture and 3D Contents Generation for Holographic Imaging

“…The branch dedicated to analysis comprises methods for optical recording of holograms using digital photo-sensors. The holograms are sampled and digitized by the photo-sensor, stored in the computer and numerically reconstructed using different approaches to describe diffraction of light from the hologram and free space propagation to the plane of the reconstructed image [8]. Thus, capture of both amplitude and phase becomes possible enabling numerical focusing at a variable depth and observation of transparent micro-objects without labelling [9].…”

A Novel Virtual View Distortion Estimation for Depth Maps Coding

“…With the development of three-dimension video (3DV) application, such as three dimension television (3DTV) [1] and free viewpoint television (FTV) [2] , the confliction between the huge data volume and limited transmission bandwidth or storage resource becomes obvious. One of the promising solutions is using multi-view plus depth (MVD) [3] format to represent 3DV, by which only a few views of texture and depth to be stored or transmitted.…”