Optical transfer function of three-dimensional display systems

Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore.
Journal of the Optical Society of America A (Impact Factor: 1.56). 05/2006; 23(4):816-20. DOI: 10.1364/JOSAA.23.000816
Source: PubMed


I investigate the optical transfer function of three-dimensional display systems. Moreover, I obtain an average sampled modulation transfer function describing discrete, sampled display systems and show that in the proper limit of geometrical optics it is equivalent to the shift-invariant optical transfer function. I apply the theory to describe holographic stereograms and discuss the effects of amplitude and phase filters on the optical resolution.

7 Reads
  • Source
    • "Refs. [2] [3] also derived the total modulation transfer function (MTF) of an II system based on wave optical theory. Ju-Seog Jang et al. [4] presented the relationship between the resolution and the depth of a 3D integral image and proposed the use of the product of depth and resolution square as a figure merit in II systems, which is limited by the inverse of illumination wave length λ. "
    [Show abstract] [Hide abstract]
    ABSTRACT: In an integral imaging (II) system, the pickup sampling effects play an important role in affecting the blur of an integral image. In this paper, the blur property of an integral image due to the pickup sampling artifacts is first analyzed. Then, a figure of merit-the edge blur width (EBW) of a white and black bar object is proposed to characterize the blur of the reconstructed image, and its theoretical model is derived in detail based on a continuous/discrete (C/D) sampling mechanism by considering both the pickup sampling and the reconstruction process. Further, the quantitative relationships of the blur with the pickup sampling parameters (the pixel number of each elemental image, the number of elemental images) are calculated by the EBW model and measured by C/D sampling II simulation experiments, respectively. We find out that the theoretical results have a good agreement with the estimated ones, and the minimum values of the EBW occurred periodically when the pixel number of an elemental image is an integral multiple of the magnification ratio.
    Preview · Article · Sep 2014 · Journal of the European Optical Society Rapid Publications
  • [Show abstract] [Hide abstract]
    ABSTRACT: A theoretical model for quantifying the effects of the sampling aliasing on the viewing resolution of the reconstructed integral image is proposed. Specifically, the "squeezed" modulation transfer function (MTF) concept is introduced to characterize the quality degradation of an integral image due to the sampling effect. Then, for the display part of an integral imaging system, an analytical model for the squeezed MTF is derived by defining a spurious response factor related to the sampling aliasing of the display microlens array. Finally, we analyze the quantitative relationships of the viewing resolution of an integral image with the sampling step size determined by the pitch of a microlens array, and the distance from the displayed microlens array to the display device based on the simulation results.
    No preview · Article · Nov 2009 · Optics Letters
  • [Show abstract] [Hide abstract]
    ABSTRACT: In this paper, we propose a new algorism for calculating computer-generated hologram (CGH) for 3D image display. The wavefront is calculated from light-ray information, which can be obtained by artificial computer graphics or imagebased renderings using the data captured by a camera array. The view interpolation, hidden surface removal, and gloss reproduction are easily implemented by utilizing the techniques of image-based rendering or light-field rendering. The method is similar to the CGH based on the principle of Holographic Stereogram (HS), but using HS based CGH, the image far from the hologram plane is blurred due to the light-ray sampling and the diffraction at the hologram surface, so it is not suitable for the display of deep scene. Thus we proposed the use of virtual "Ray-Sampling (RS) plane" near the object, and the wavefront at the RS plane is calculated from the light-rays. The wavefront propagation is then simulated based on Fresnel diffraction from the RS plane to the hologram. The hologram pattern is obtained from the complex amplitude distribution on the hologram plane. Even if the RS plane is distant from the hologram, the resolution of the reconstructed image is not degraded since the long distance light propagation is calculated by diffraction theory. In the experiment, we obtained high resolution, deep 3D image with gloss appearance with using the image data generated by commercial rendering software.
    No preview · Article · Feb 2010 · Proceedings of SPIE - The International Society for Optical Engineering
Show more