Wave-front propagation by Gaussian superposition

Cywiak, Moisés; Servı́n, Manuel; Santoyo, Fernando Mendoza

doi:10.1016/s0030-4018(01)01353-0

Cited by 13 publications

(7 citation statements)

References 1 publication

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“…Naturally, there are two major concerns in computer-generated holography: the quality of the eventual optical reconstruction from these holograms and the speed of computations; the latter is especially important in holographic television applications, where a real-time computation at the frame rate is targeted. Fast computation methods to generate the desired holograms are investigated and reported [10][11][12], and hardware solutions are employed to increase the speed of computations [13,14].…”

Section: Introductionmentioning

confidence: 99%

Hologram synthesis for photorealistic reconstruction

2008

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Computation of diffraction patterns, and thus holograms, of scenes with photorealistic properties is a highly complicated and demanding process. An algorithm, based primarily on computer graphics methods, for computing full-parallax diffraction patterns of complicated surfaces with realistic texture and reflectivity properties is proposed and tested. The algorithm is implemented on single-CPU, multiple-CPU and GPU platforms. An alternative algorithm, which implements reduced occlusion diffraction patterns for much faster but somewhat lower quality results, is also developed and tested. The algorithms allow GPU-aided calculations and easy parallelization. Both numerical and optical reconstructions are conducted. The results indicate that the presented algorithms compute diffraction patterns that provide successful photorealistic reconstructions; the computation times are acceptable especially on the GPU implementations.

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Section: Introductionmentioning

confidence: 99%

Hologram synthesis for photorealistic reconstruction

2008

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“…Cywiak et al use the linearity of the Fresnel transform for fast computation [104], They first decompose the input function into Gaussian functions. Since it is easy to compute the Fresnel transform of a single Gaussian function, a final superposition of the individual results gives the desired Fresnel transform.…”

Section: Review Of Techniques and Algorithms For Wave Propagationmentioning

confidence: 99%

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

Onural

Gotchev

Özaktaş

et al. 2007

IEEE Trans. Circuits Syst. Video Technol.

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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.

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“…For optical systems there is commercially available dedicated software as ASAP s or FRED s to perform this task [5,6]. In particular, we have previously reported the possibility of representing an optical field by means of a superposition of Gaussian functions following a Rayleigh-like criterion [7][8][9][10]. In this criterion each Gaussian function is placed such that its center coincides with the e 1/ value of its right and left neighbor functions.…”

Section: Introductionmentioning

confidence: 99%

Wave-front propagation by Gaussian superposition

Cited by 13 publications

References 1 publication

Hologram synthesis for photorealistic reconstruction

Hologram synthesis for photorealistic reconstruction

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

Experimental profiling of a non-truncated focused Gaussian beam and fine-tuning of the quadratic phase in the Fresnel Gaussian shape invariant

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