Application of wavelet transform to hologram analysis: three-dimensional location of particles

Buraga-Lefebvre, Cristina; Coëtmellec, Sébastien; Lebrun, Denis; Özkul, Cafer

doi:10.1016/s0143-8166(00)00050-6

Cited by 134 publications

(63 citation statements)

References 12 publications

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“…The continuous wavelet transform is extensively used in signal and image processing. 22,23 In particular, it has been used in optics 24,25 and x-ray spectroscopy 26 for analyzing signals at different scales. For a brief description of the continuous two-dimensional and spherical wavelet transforms see Appendices A and B, respectively.…”

Section: A Spherical Wavelet Transform In Small-angle Approximationmentioning

confidence: 99%

Projections of local atomic structure revealed by wavelet analysis of x-ray absorption anisotropy

2009

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We propose and verify in an experiment a wavelet transform approach for analysis of x-ray absorption anisotropy ͑XAA͒ patterns recorded using a broadband polychromatic x-ray beam. XAA results from the interference between an incident plane wave with spherical waves scattered from atoms inside the sample. This interference modifies the total x-ray field amplitude at the sites of absorbing atoms and effectively changes the atomic absorption cross section. XAA is monitored by measuring the secondary yield while the sample is rotated relative to the incident-beam direction. For broadband polychromatic hard x-ray illumination, owing to the short coherence length, significant anisotropy in absorption is only found close to directions of the incident radiation coinciding with interatomic directions. In this work, we show that the signals from individual atoms have the same universal shape and differ only in the scale and angular position. Combined with the directional localization this allows us to construct a spherical wavelet family matched to the shape of the observed signal. Application of the wavelet transform to experimental x-ray absorption anisotropy has provided high-resolution projections of the local atomic structure in an InAs crystal up to the sixth coordination shell. While in a recent work XAA delivered a three-dimensional image of the unit cell obtained through a tomographic algorithm, the wavelet approach provides projections of the local structure of absorber atoms with depth resolution and does not depend on the translational long-range order. This opens a way for a quantitative analysis of polychromatic beam x-ray absorption anisotropy for local structure imaging.

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Section: A Spherical Wavelet Transform In Small-angle Approximationmentioning

confidence: 99%

Projections of local atomic structure revealed by wavelet analysis of x-ray absorption anisotropy

2009

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Section: Waveletsmentioning

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. 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.…”

Section: Waveletsmentioning

confidence: 99%

An overview of the holographic display related tasks within the European 3DTV Project

Onural

Özaktaş

Stoykova³

et al. 2006

SPIE Proceedings

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A European consortium has been working since September 2004 on all video-based technical aspects of threedimensional television. The group has structured its technical activities under five technical committees focusing on capturing 3D live scenes, converting the captured scenes to an abstract 3D representations, transmitting the 3D visual information, displaying the 3D video, and processing of signals for the conversion of the abstract 3D video to signals needed to drive the display. The display of 3D video signals by holographic means is highly desirable. Synthesis of high-resolution computer generated holograms with high spatial frequency content, using fast algorithms, is crucial. Fresnel approximation with its fast implementations, fast superposition of zonelens terms, look-up tables using pre-computed holoprimitives are reported in the literature. Phase-retrieval methods are also under investigation. Successful solutions to this problem will benefit from proper utilization and adaptation of signal processing tools like waveletes, fresnelets, chirplets, and atomic decompositions and various optimization algorithms like matching pursuit or simulated annealing.Keywords: 3DTV, holographic TV, dynamic holographic displays TECHNICAL SCOPE OF THE 3DTV PROJECTA European consortium has been working since September 2004 on all video-based technical aspects of threedimensional television (3DTV) [1]. The group has structured its technical activities under five technical committees. These technical committees are focusing on capturing 3D live scenes, converting the captured scenes to abstract 3D representations, transmitting the 3D visual information, displaying the 3D video, and processing of signals for the conversion of the abstract 3D video to signals needed to drive the display. The technical scope is kept rather wide: the researchers are investigating many different competing technologies for each one of the technical components of the overall 3DTV system in a comparative approach. Fig. 1 shows the main functional blocks.Multi-camera systems are quite popular among the alternative approaches to acquire 3D moving scene information. Typical multi-camera systems have 2-20 cameras providing synchronized video streams. Calibration is an issue. Typically, the images of a point in the 3D scene at an instant is located in more than one view captured by the cameras, and the true 3D physical coordinates are then computed from this information. Automated matching of feature points is a research topic. Holographic recording of 3D scene information using digital cameras is also under investigation as a candidate technology.Once the 3D geometry is captured, together with its color texture, the captured scene can be represented using various computer graphics techniques; for example, mesh polygons may be used. An important step is the compression and coding of the captured 3D motion pictures. Compression of 2D video has been well studied during the past three decades. However, extensions to stereo-video, or multi-view v...

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“…This technique now has applications in a large number of domains from investigation of particles in flows [2][3][4][5][6][7], to visualization of cells in biology or medicine, to phase contrast metrology, or to detection of nanoparticles without being exhaustive [8][9][10][11][12][13][14]. Research activities in this field have many orientations: some articles treat the elaboration of models to compute and predict holograms.…”

Section: Introductionmentioning

confidence: 99%

Numerical Models for Exact Description of in-situ Digital In-Line Holography Experiments with Irregularly-Shaped Arbitrarily-Located Particles

et al. 2015

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We present the development of a numerical simulator for digital in-line holography applications. In-line holograms of arbitrarily shaped and arbitrarily located objects are calculated using generalized Huygens-Fresnel integrals. The objects are 2D opaque or phase objects. The optical set-up is described by its optical transfer matrix. A wide variety of optical systems, involving windows, spherical or cylindrical lenses, can thus be taken into account. It makes the simulator applicable for design and description of in situ experiments. We discuss future applications of this simulator for detection of nanoparticles in droplets, or calibration of airborne instruments that detect and measure ice crystals in the atmosphere.

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Application of wavelet transform to hologram analysis: three-dimensional location of particles

Cited by 134 publications

References 12 publications

Projections of local atomic structure revealed by wavelet analysis of x-ray absorption anisotropy

Projections of local atomic structure revealed by wavelet analysis of x-ray absorption anisotropy

An overview of the holographic display related tasks within the European 3DTV Project

Numerical Models for Exact Description of in-situ Digital In-Line Holography Experiments with Irregularly-Shaped Arbitrarily-Located Particles

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