Computer-generated holograms for three-dimensional surface objects with shade and texture

Department of Electrical Engineering and Computer Science, Kansai University, 3-3-35 Yamate-cho, Suita, Osaka 564-8680, Japan.
Applied Optics (Impact Factor: 1.78). 09/2005; 44(22):4607-14. DOI: 10.1364/AO.44.004607
Source: PubMed


Digitally synthetic holograms of surface model objects are investigated for reconstructing three-dimensional objects with shade and texture. The objects in the proposed techniques are composed of planar surfaces, and a property function defined for each surface provides shape and texture. The field emitted from each surface is independently calculated by a method based on rotational transformation of the property function by use of a fast Fourier transform (FFT) and totaled on the hologram. This technique has led to a reduction in computational cost: FFT operation is required only once for calculating a surface. In addition, another technique based on a theoretical model of the brightness of the reconstructed surfaces enables us to shade the surface of a reconstructed object as designed. Optical reconstructions of holograms synthesized by the proposed techniques are demonstrated.

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Available from: Kyoji Matsushima, Dec 15, 2013
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    • "However, they also assumed Poynting vector for negative spatial spectrums along z axis on a rotated destination plane could not have a projection on a rotated destination plane with conditions of Im[w] ¼ 0 and w r 4 0. Matsushima et al. [6] noticed a fold in the spectrum in the case of large angle rotation, but they ignored its effect using large sampling interval. Matsushima et al. [7] [9] and Nicolar [8] reported holographic microscopy for an rotated object and compared it with theoretical expectation. Recently , Chang et al. [10] proposed diffraction calculation between rotated planes with variable sampling rates. "
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    ABSTRACT: A novel method is proposed for simulating exact light propagation between rotated planes using non-uniform sampling and angular spectrum method. Angular spectrum method (ASM) was widely used for simulating light diffraction between rotated planes using uniform sampling and interpolation of positive spatial frequency spectrums along z axis on a rotated destination plane which is an approximation valid only for large sampling interval on a source plane and for small rotation angle of a destination plane. To simulate exact wave propagation between rotated planes independent on sampling interval on a source plane or rotation angle of a destination plane, we applied non-uniform sampling to angular spectrum method. In the proposed method, we can produce simulation results between rotated planes with high accuracy for any sampling interval on a source plane or for any rotated angle. &
    Optics Communications 01/2015; 344:1-6. DOI:10.1016/j.optcom.2015.01.029 · 1.45 Impact Factor
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    • "However, Eq.(1) does not realize the projection of an image on a tilted plane. In order to improve this issue, we use scaled diffraction with tilted diffraction [26] [27] [28] [29] [30], which calculates diffraction between nonparallel planes. Tilted diffraction calculation of the rotation of a complex amplitude in the frequency domain with rotation matrix M where, "
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    ABSTRACT: This paper numerically investigates the feasibility of lensless zoomable holographic multiple projections to tilted planes. We have already developed lensless zoomable holographic single projection using scaled diffraction, which calculates diffraction between parallel planes with different sampling pitches. The structure of this zoomable holographic projection is very simple because it does not need a lens; however, it only projects a single image to a plane parallel to the hologram. The lensless zoomable holographic projection in this paper is capable of projecting multiple images onto tilted planes simultaneously.
    Optics Communications 07/2014; 333. DOI:10.1016/j.optcom.2014.07.081 · 1.45 Impact Factor
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    • "The polygon-based method, where a 3D object is represented by many planar segments can easy to achieve the solid effect. However, the traditional polygon-based method [3] is also a time consuming since it conducts at least one FFT for each polygon. For reducing the computation load of "
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    ABSTRACT: 3D dynamic holographic display is one of the most attractive techniques for achieving real 3D vision with full depth cue without any extra devices. However, huge 3D information and data should be preceded and be computed in real time for generating the hologram in 3D dynamic holographic display, and it is a challenge even for the most advanced computer. Many fast algorithms are proposed for speeding the calculation and reducing the memory usage, such as:look-up table (LUT), compressed look-up table (C-LUT), split look-up table (S-LUT), and novel look-up table (N-LUT) based on the point-based method, and full analytical polygon-based methods, one-step polygon-based method based on the polygon-based method. In this presentation, we overview various fast algorithms based on the point-based method and the polygon-based method, and focus on the fast algorithm with low memory usage, the C-LUT, and one-step polygon-based method by the 2D Fourier analysis of the 3D affine transformation. The numerical simulations and the optical experiments are presented, and several other algorithms are compared. The results show that the C-LUT algorithm and the one-step polygon-based method are efficient methods for saving calculation time. It is believed that those methods could be used in the real-time 3D holographic display in future.
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