Mathematics of thermoacoustic tomography
P Kuchment, L Kunyansky - European Journal of Applied …, 2008 - cambridge.org
Mathematics of thermoacoustic tomography Page 1 Euro. Jnl of Applied Mathematics (2008), vol.
19, pp. 191–224. c 2008 Cambridge University Press doi:10.1017/S0956792508007353 Printed …
19, pp. 191–224. c 2008 Cambridge University Press doi:10.1017/S0956792508007353 Printed …
A survey of computational frameworks for solving the acoustic inverse problem in three-dimensional photoacoustic computed tomography
Photoacoustic computed tomography (PACT), also known as optoacoustic tomography, is
an emerging imaging technique that holds great promise for biomedical imaging. PACT is a …
an emerging imaging technique that holds great promise for biomedical imaging. PACT is a …
Photoacoustic tomography in absorbing acoustic media using time reversal
The reconstruction of photoacoustic images typically neglects the effect of acoustic
absorption on the measured time domain signals. Here, a method to compensate for …
absorption on the measured time domain signals. Here, a method to compensate for …
Full-wave iterative image reconstruction in photoacoustic tomography with acoustically inhomogeneous media
Existing approaches to image reconstruction in photoacoustic computed tomography
(PACT) with acoustically heterogeneous media are limited to weakly varying media, are …
(PACT) with acoustically heterogeneous media are limited to weakly varying media, are …
The challenges for quantitative photoacoustic imaging
In recent years, some of the promised potential of biomedical photoacoustic imaging has
begun to be realised. It has been used to produce good, three-dimensional, images of blood …
begun to be realised. It has been used to produce good, three-dimensional, images of blood …
Mathematics of photoacoustic and thermoacoustic tomography
P Kuchment, L Kunyansky - arXiv preprint arXiv:0912.2022, 2009 - arxiv.org
This is the manuscript of the chapter for a planned Handbook of Mathematical Methods in
Imaging that surveys the mathematical models, problems, and algorithms of the …
Imaging that surveys the mathematical models, problems, and algorithms of the …
Acoustic attenuation compensation in photoacoustic tomography using time-variant filtering
BE Treeby - Journal of biomedical optics, 2013 - spiedigitallibrary.org
Most reconstruction algorithms used in photoacoustic tomography do not account for the
effects of acoustic attenuation on the recorded signals. For experimental measurements …
effects of acoustic attenuation on the recorded signals. For experimental measurements …
Photoacoustic imaging for attenuating acoustic media
The aim of this chapter is to consider two challenging problems in photo-acoustic imaging.
We consider extended optical sources in an attenuating acoustic background. We provide …
We consider extended optical sources in an attenuating acoustic background. We provide …
The quasi-reversibility method to numerically solve an inverse source problem for hyperbolic equations
We propose a numerical method to solve an inverse source problem of computing the initial
condition of hyperbolic equations from the measurements of Cauchy data. This problem …
condition of hyperbolic equations from the measurements of Cauchy data. This problem …
Carleman estimates and the contraction principle for an inverse source problem for nonlinear hyperbolic equations
LH Nguyen, MV Klibanov - Inverse Problems, 2022 - iopscience.iop.org
The main aim of this paper is to solve an inverse source problem for a general nonlinear
hyperbolic equation. Combining the quasi-reversibility method and a suitable Carleman …
hyperbolic equation. Combining the quasi-reversibility method and a suitable Carleman …