2013
DOI: 10.1117/12.2027199
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Wavelet compression of digital holograms: Towards a view-dependent framework

Abstract: International audienceAn analysis and discussion on the relevance of various wavelet schemes for hologram compression and reconstruction when the rendering configuration makes it possible to exploit selective refinements to perform a viewpoint-based degraded reconstruction. It is observed that Gabor wavelet bases have better time-frequency localization as compared to Fresnelet bases and hence are well suited for view-dependent compression techniques for hologram reconstruction

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Cited by 28 publications
(24 citation statements)
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“…Lee et al [40] used H.264/AVC to encode the numerical reconstructions of sub-holograms corresponding to specific viewing angles. Extending this approach, directional scalability was investigated by Viswanathan et al [41] and El Rhammad et al [42,43] using Gabor/Morlet wavelet dictionaries and a matching pursuit approach, providing a practical tool actually exhibiting the duality between light rays and local spatial frequencies.…”
Section: Towards Content-aware Codingmentioning
confidence: 99%
“…Lee et al [40] used H.264/AVC to encode the numerical reconstructions of sub-holograms corresponding to specific viewing angles. Extending this approach, directional scalability was investigated by Viswanathan et al [41] and El Rhammad et al [42,43] using Gabor/Morlet wavelet dictionaries and a matching pursuit approach, providing a practical tool actually exhibiting the duality between light rays and local spatial frequencies.…”
Section: Towards Content-aware Codingmentioning
confidence: 99%
“…In some cases, the coding techniques that have been used for holograms compression are the current standards for image and video compression [38], [39]. In some researches, new elements have been added to the compression process in order to improve performance [39]- [41], and also wavelet transforms have been proposed, different from the standard ones, such as the Gabor wavelet [42] and the Morlet wavelet [43].…”
Section: Digital Holography Data Compressionmentioning
confidence: 99%
“…Thus, no extra information will be coded in this respect. Some recent publications also have confirmed the importance of orientation and high frequencies in holography by using Gabor wavelets, evaluated at multiple orientations, 12 or by using the wavelet-bandelets transform. 27 However, these publications mainly used coefficient thresholding and did not provide complete coding frameworks.…”
mentioning
confidence: 97%
“…The reasons are (1) the lack of support for integer taps that enable lossless compression, (2) the inherent presence of complex-valued coefficients, even for real-valued off-axis holograms, (3) the occasional requirement of zero-padding to correctly simulate Fresnel *Address all correspondence to: David Blinder, E-mail: dblinder@etro.vub.ac .be propagation in order to avoid aliasing, and (4) the need to predetermine a focus depth parameter prior to compression of the data. Several other analysis functions have been investigated as well; one notable example is the use of Gabor wavelets 12 for hologram coding: their excellent time-frequency uncertainty bounds and orientability allow for effective descriptions of localized frequency content. Unfortunately, Gabor wavelets are not reversible and form an overcomplete representation, requiring some coefficient selection method (such as using the ridge of the Gabor wavelet transform 12 ).…”
Section: Introductionmentioning
confidence: 99%
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