Transient Wave Imaging with Limited-View Data

Ammari, Habib; Asch, Mark; Bustos, Lilí Guadarrama; Jugnon, Vincent; Kang, Hyeonbae

doi:10.1137/100786174

Cited by 17 publications

(13 citation statements)

References 38 publications

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“…Here, D denotes the space of distributions. Let δs be given by (2). The field ϕ D is therefore the unique solution to…”

Section: Microwaves In a Weakly Heterogeneous Mediummentioning

confidence: 99%

Acousto-electromagnetic Tomography

Ammari¹,

Bossy²,

Garnier³

et al. 2012

SIAM J. Appl. Math.

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The aim of this paper is to develop a mathematical framework for acousto-electromagnetic tomography and to introduce an efficient reconstruction algorithm. In electromagnetic wave imaging, the resolution is limited by the Rayleigh criterion, that is, half the operating wavelength. By mechanically perturbing the medium, we show that it is possible to achieve a significant resolution enhancement. We provide a new inversion formula for the permittivity distribution from cross-correlations between the electromagnetic boundary measurements in the perturbed medium and in the unperturbed one. We present numerical results to illustrate the resolution and the stability performances of the proposed reconstruction algorithm.

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“…Here, D denotes the space of distributions. Let δs be given by (2). The field ϕ D is therefore the unique solution to…”

Section: Microwaves In a Weakly Heterogeneous Mediummentioning

confidence: 99%

Acousto-electromagnetic Tomography

Ammari¹,

Bossy²,

Garnier³

et al. 2012

SIAM J. Appl. Math.

Self Cite

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show abstract

“…Several other challenging problems remain. It would be very interesting to extend the strategy developed in [3] to correct the effect of partial measurements in the elastic case. Another important problem is to correct the effect of random fluctuations in the elastic parameters.…”

Section: Methodsmentioning

confidence: 99%

Time-reversal algorithms in viscoelastic media

et al. 2013

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In this paper, we consider the problem of reconstructing sources in a homogeneous viscoelastic medium from wavefield measurements. We first present a modified timereversal imaging algorithm based on a weighted Helmholtz decomposition and justify mathematically that it provides a better approximation than by simply time reversing the displacement field, where artifacts due to the coupling between the pressure and shear waves appear. Then, we investigate the source inverse problem in an elastic attenuating medium. We provide a regularized time-reversal imaging which corrects the attenuation effect at the first order. The results of this paper yield the fundamental tools for solving imaging problems in elastic media using cross correlation techniques.

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“…Please note that the Neumann boundary condition corresponds to the sample/water interface, and the Dirichlet boundary condition, which corresponds to the sample/air interface, can be handled similarly. We remark that modeling PAT using the Neumann and Dirichlet boundary conditions was reported in the literature [37,38]. The ultrasound is recorded at the boundary of Ω using 508 sensors deployed evenly around the tissue.…”

Section: The Forward Modelmentioning

confidence: 99%

Accelerated Correction of Reflection Artifacts by Deep Neural Networks in Photo-Acoustic Tomography

2019

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Photo-Acoustic Tomography (PAT) is an emerging non-invasive hybrid modality driven by a constant yearning for superior imaging performance. The image quality, however, hinges on the acoustic reflection, which may compromise the diagnostic performance. To address this challenge, we propose to incorporate a deep neural network into conventional iterative algorithms to accelerate and improve the correction of reflection artifacts. Based on the simulated PAT dataset from computed tomography (CT) scans, this network-accelerated reconstruction approach is shown to outperform two state-of-the-art iterative algorithms in terms of the peak signal-to-noise ratio (PSNR) and the structural similarity (SSIM) in the presence of noise. The proposed network also demonstrates considerably higher computational efficiency than conventional iterative algorithms, which are time-consuming and cumbersome.

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Transient Wave Imaging with Limited-View Data

Cited by 17 publications

References 38 publications

Acousto-electromagnetic Tomography

Acousto-electromagnetic Tomography

Time-reversal algorithms in viscoelastic media

Accelerated Correction of Reflection Artifacts by Deep Neural Networks in Photo-Acoustic Tomography

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