Three-dimensional beam-deflection optical tomography of a supersonic jet

Faris, Gregory W.; Byer, Robert L.

doi:10.1364/ao.27.005202

Cited by 144 publications

(98 citation statements)

References 28 publications

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“…Several applications of vector field tomography have been considered in the literature. These include: blood flow imaging [4,5]; fluid mesoscale velocity imaging in ocean acoustic tomography [6][7][8]; fluid-flow imaging [9][10][11][12][13][14][15][16]; electric field imaging in Kerr materials [17][18][19]; imaging of the component of the gradient of the refractive index field, which is transversal to the beam, in Schlieren tomography [14]; velocity field imaging of heavy particles in plasma physics [20]; density imaging in supersonic expansions and flames in beam deflection optical tomography [21]; non-destructive stress distribution imaging of transparent specimens in photoelasticity [22,23]; determination of temperature distributions and velocity vector fields in furnaces [24]; and magnetic field imaging in Tokamak in polarimetric tomography [25].…”

Section: Introductionmentioning

confidence: 99%

Full Tomographic Reconstruction of 2D Vector Fields using Discrete Integral Data

Petrou

Giannakidis

2010

The Computer Journal

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Vector field tomography is a field that has received considerable attention in recent decades. It deals with the problem of the determination of a vector field from non-invasive integral data. These data are modelled by the vectorial Radon transform. Previous attempts at solving this reconstruction problem showed that tomographic data alone are insufficient for determining a 2D band-limited vector field completely and uniquely. This paper describes a method that allows one to recover both components of a 2D vector field based only on integral data, by solving a system of linear equations. We carry out the analysis in the digital domain and we take advantage of the redundancy in the projection data, since these may be viewed as weighted sums of the local vector field's Cartesian components. The potential of the introduced method is demonstrated by presenting examples of vector field reconstruction.

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Section: Introductionmentioning

confidence: 99%

Full Tomographic Reconstruction of 2D Vector Fields using Discrete Integral Data

Petrou

Giannakidis

2010

The Computer Journal

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“…History of Vector Field Tomography Tensor tomography builds on much of the work already accomplished in vector field tomography [2,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35]. Applications have involved acoustic flow imaging using time-of-flight measurements in medicine [7], non-destructive evaluation [11], and ocean tomography [9,14].…”

Section: Introductionmentioning

confidence: 99%

“…Other Works Vector field tomography has been applied in other applications: optics, to measure flow [16,17,21]; deflection optical tomography, to determine densities in supersonic expansions and flames [15]; optical polarization tomography, to measure electric fields in a Kerr material by measuring polarization of the transmitted light [12,13,25]; acoustic tomography, to determine temperature distributions and velocity vector fields in furnaces [26]; polarimetric tomography of the magnetic field in TOKOMAK [8,27]; and velocity vector fields of heavy particles in plasma [32,28]. It has also been shown that continuous doppler data can be analyzed in the framework of vector field tomography [2,21,24,22,33,32,28,29].…”

Section: Introductionmentioning

confidence: 99%

3D reconstruction of tensors and vectors

Defrise¹,

Gullberg²

2005

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“…In synchrotron radiation experiments, the distance from source to image object is often more than 100 m. In this case, the radiation beams can be well approximated as parallel beams. Thus, parallel beam absorption computed tomography (CT) image reconstruction formulae can be readily adapted to DPC-CT (Faris and Byer 1988, Maskimenko et al 2005.…”

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confidence: 99%

“…Note that the effective detector size is limited by the available size of the third grating in the front of the detector, it is about 6 cm in . Using these parameters, the divergence angle in can be estimated as (2) In this case, the parallel-beam approximation is still acceptable and the well-known parallelbeam image reconstruction method (Faris and Byer 1988, Maskimenko et al 2005, Engelhardt et al 2007, Weitkamp et al 2005 can be adapted to reconstruct DPC-CT images.…”

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confidence: 99%

Image reconstruction for fan-beam differential phase contrast computed tomography

Chen

2008

Phys. Med. Biol.

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Recently, x-ray differential phase contrast computed tomography (DPC-CT) has been experimentally implemented using a conventional tube combined with gratings. Images were reconstructed using a parallel-beam reconstruction formula. However, parallel-beam reconstruction formulae are not applicable when the parallel-beam approximation fails. In this paper, we present a new image reconstruction formula for fan-beam DPC-CT. There are several novel features of the new image reconstruction formula: (i) when the scanning angular range of data acquisition is larger than π + γ m (γ m is the full fan angle), the entire field of view can be exactly reconstructed; (ii) when the scanning angular range is smaller than π + γ m , a local region of interest (ROI) can be exactly reconstructed; (iii) it enables an exact reconstruction for a local ROI when the projection data are truncated at some view angles; (iv) it enlarges the imaging field of view when the detector is asymmetrically placed. In this last case, the data are truncated from every view angle. Numerical simulations have been conducted to validate the new reconstruction formula.Phase contrast x-ray imaging and neutron imaging have a great potential in medical diagnosis and/or nondestructive industrial test. Historically, several methods have been proposed to extract phase information of an image object. These methods are differentiated from one another by measuring either the phase distribution (Bonse and Hart 1965, Momose et al 1996), the gradient of the phase distribution (Dilmanian et al 2000, Zhu et al 2005, Momose et al 2006, Pfeiffer et al 2006a, 2006b or the Laplacian of the phase distribution (Davis et al 1996. Experimentally, these methods may impose different requirements on the coherence length of the source and different requirements on spatial resolution of the detector.In the past several years, the differential phase contrast computed tomography (DPC-CT) imaging method has been successfully implemented using coherent x-rays generated by highbrilliance synchrotron radiations or low-brilliance sources. In these experiments, the measured projection data are essentially the refraction angles of the incident beams. In synchrotron radiation experiments, the distance from source to image object is often more than 100 m. In this case, the radiation beams can be well approximated as parallel beams. Thus, parallel beam absorption computed tomography (CT) image reconstruction formulae can be readily adapted to DPC-CT (Faris and Byer 1988, Maskimenko et al 2005. Note added in Proof. During the revision of this manuscript, a parallel-beam version of the algorithm presented in this paper has been brought to our attention by one of the reviewers for diffraction enhanced imaging (DEI) [25]. Most recently, an ingenious scheme was proposed to implement phase contrast imaging experiments and phase contrast CT (Pfeiffer et al 2006a(Pfeiffer et al , 2006b for both hard x-rays and neutrons. In this new approach, the x-rays or neutron beams generated by a conventiona...

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Three-dimensional beam-deflection optical tomography of a supersonic jet

Cited by 144 publications

References 28 publications

Full Tomographic Reconstruction of 2D Vector Fields using Discrete Integral Data

Full Tomographic Reconstruction of 2D Vector Fields using Discrete Integral Data

3D reconstruction of tensors and vectors

Image reconstruction for fan-beam differential phase contrast computed tomography

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