Mathematics of thermoacoustic tomography
Peter Kuchment,Leonid Kunyansky +1 more
TLDR
A survey of mathematical problems, techniques, and challenges arising in the Thermoacoustic (also called Photoacoustic or Optoacoustic) Tomography can be found in this paper.Abstract:
The paper presents a survey of mathematical problems, techniques, and challenges arising in the Thermoacoustic (also called Photoacoustic or Optoacoustic) Tomography.read more
Citations
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Journal ArticleDOI
Biomedical photoacoustic imaging
TL;DR: The underlying physical principles of the technique, its practical implementation, and a range of clinical and preclinical applications are reviewed.
Journal ArticleDOI
Photoacoustic tomography and sensing in biomedicine
Changhui Li,Lihong V. Wang +1 more
TL;DR: A brief recap of recent developments in photoacoustics in biomedicine, from basic principles to applications is provided, including the new imaging modalities, hybrid detection methods, photoac acoustic contrast agents and the photoacoustic Doppler effect.
Journal ArticleDOI
Reconstruction and time reversal in thermoacoustic tomography in acoustically homogeneous and inhomogeneous media
TL;DR: In this article, a comparative discussion of features and limitations of three types of recent approaches to reconstruction in thermoacoustic/photoacoustic tomography: backprojection formulae, eigenfunction expansions and time reversal is presented.
Journal ArticleDOI
Photoacoustic tomography in absorbing acoustic media using time reversal
TL;DR: In this article, a method to compensate for the effect of acoustic absorption on the measured time domain signals is described, where the reconstruction is regularized by filtering the absorption and dispersion terms in the spatial frequency domain using a Tukey window.
Journal ArticleDOI
Thermoacoustic tomography with variable sound speed
Plamen Stefanov,Gunther Uhlmann +1 more
TL;DR: In this article, the mathematical model of thermoacoustic tomography in media with a variable speed for a fixed time interval [0, T] so that all signals issued from the domain leave it after time T was studied.
References
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Book
Principles of Computerized Tomographic Imaging
TL;DR: Properties of Computerized Tomographic Imaging provides a tutorial overview of topics in tomographic imaging covering mathematical principles and theory and how to apply the theory to problems in medical imaging and other fields.
Book
The Mathematics of Computerized Tomography
TL;DR: In this paper, the Radon transform and related transforms have been studied for stability, sampling, resolution, and accuracy, and quite a bit of attention is given to the derivation, analysis, and practical examination of reconstruction algorithm, for both standard problems and problems with incomplete data.
Book
Groups and geometric analysis
TL;DR: Geometric Fourier analysis on spaces of constant curvature Integral geometry and Radon transforms Invariant differential operators Invariants and harmonic polynomials Spherical functions and spherical transforms Analysis on compact symmetric spaces Appendix Some details Bibliography Symbols frequently used Index Errata.
Journal ArticleDOI
Photoacoustic imaging in biomedicine
Minghua Xu,Lihong V. Wang +1 more
TL;DR: An overview of the rapidly expanding field of photoacoustic imaging for biomedical applications can be found in this article, where a number of imaging techniques, including depth profiling in layered media, scanning tomography with focused ultrasonic transducers, image forming with an acoustic lens, and computed tomography using unfocused transducers are introduced.