1999
DOI: 10.1364/ao.38.003730
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Hologram reconstruction by use of optical wavelet transform

Abstract: High-speed in-line holography is used to visualize the trajectories of glass fibers being drawn out in a turbulent flame. To improve the signal-to-noise ratio, the images are not observed by a conventional reconstruction setup, but the holographic plate is placed directly on the input plane of a wavelet-transform optical system. This processing system is based on a VanderLugt correlator with inclusion of an electrically addressed spatial light modulator. The shape of the matched filters is deduced by successiv… Show more

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Cited by 33 publications
(12 citation statements)
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“…Reconstructing an ehologram involves tracing the beam propagation through the system and calculating the diffraction pattern by means of a numerical representation of the physical process of diffraction. Many algorithms have been employed based on, for example, the Fresnel transform, [22][23][24] the Fraunhofer transform, 25 the wavelet transform, 26 and "Fresnelets" with wavelet bases. 27 The reconstruction algorithm used in our system is derived from the angular spectrum theory.…”
Section: Principle and Implementation Of Dhvmmentioning
confidence: 99%
“…Reconstructing an ehologram involves tracing the beam propagation through the system and calculating the diffraction pattern by means of a numerical representation of the physical process of diffraction. Many algorithms have been employed based on, for example, the Fresnel transform, [22][23][24] the Fraunhofer transform, 25 the wavelet transform, 26 and "Fresnelets" with wavelet bases. 27 The reconstruction algorithm used in our system is derived from the angular spectrum theory.…”
Section: Principle and Implementation Of Dhvmmentioning
confidence: 99%
“…In [42] and [43] it is shown how wavelets can be used for analysis and reconstruction of in-line holograms. In [42] the wavelet transform is used to reconstruct successive planes of a sample volume and find the 3D location of small particles.…”
Section: Waveletsmentioning
confidence: 99%
“…In [42] the wavelet transform is used to reconstruct successive planes of a sample volume and find the 3D location of small particles. The purpose of the work [43] is to determine the three-dimensional trajectories of glass fibers drawn out in a turbulent flame, and high-speed in-line holography is used to visualize the sample volume. With the help of wavelets a noiseless, selective, and fast reconstruction of the 3D field is performed.…”
Section: Waveletsmentioning
confidence: 99%
“…The function of Wigner distribution was used for the direct extraction of the threedimensional sites of an object from the hologram [5]. The wavelet transformation was used for the reconstructing the holograms [6,7]. Coetmellec and al.…”
Section: Introductionmentioning
confidence: 99%