Abstract
Image capture and image display will most likely be decoupled in future 3DTV systems. Due to the need to convert abstract representations of 3D images to display driver signals, and to explicitly consider optical diffraction and propagation effects, it is expected that signal processing issues will be of fundamental importance in 3DTV systems. Since diffraction between two parallel planes can be represented as a 2D linear shift-invariant system, various signal processing techniques naturally play an important role. Diffraction between tilted planes can also be modeled as a relatively simple system, leading to efficient discrete computations. Two fundamental problems are digital computation of the optical field arising from a 3D object, and finding the driver signals for a given optical display device which will then generate a desired optical field in space. The discretization of optical signals leads to several interesting issues; for example, it is possible to violate the Nyquist rate while sampling, but still achieve full reconstruction. The fractional Fourier transform is another signal processing tool which finds applications in optical wave propagation.
Highlights
Regardless of the algorithmic, representational, and technological choices made for the acquisition, transmission, and display of three-dimensional (3D) visual signals, optics is expected to play a more important role in holographic 3D television (3DTV) than it does in conventional display technologies such as cathode ray tubes and liquid crystal displays, or cinematic projection
The formulation of diffraction phenomena, forward and inverse problems in holographic 3DTV, discretization issues, and the use of the fractional Fourier transform are the main subjects covered in this paper
It is well known that scalar monochromatic diffraction in homogeneous media can be exactly represented as a linear shift-invariant (LSI) system [7]
Summary
Regardless of the algorithmic, representational, and technological choices made for the acquisition, transmission, and display of three-dimensional (3D) visual signals, optics is expected to play a more important role in holographic 3D television (3DTV) than it does in conventional display technologies such as cathode ray tubes and liquid crystal displays, or cinematic projection. This is because the creation of a 3D image, or the illusion of it, depends on the manipulation of light for the purpose of synthesizing desired spatial light distributions. The formulation of diffraction phenomena, forward and inverse problems in holographic 3DTV, discretization issues, and the use of the fractional Fourier transform are the main subjects covered in this paper
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