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Mathematics of Photoacoustic and Thermoacoustic Tomography (Q2789820)

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Language	Label	Description	Also known as
English	Mathematics of Photoacoustic and Thermoacoustic Tomography	scientific article

Statements

scholarly article

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Mathematics of Photoacoustic and Thermoacoustic Tomography (English)

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Leonid A. Kunyansky

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Peter A. Kuchment

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Handbook of Mathematical Methods in Imaging

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publication date

2 March 2016

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zbMATH Keywords

thermoacoustic tomography

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photoacoustic

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-1-4939-0790-8_51

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Approximation by spherical waves in \(L^p\)-spaces

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Range conditions for a spherical mean transform

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Uniqueness of reconstruction and an inversion procedure for thermoacoustic and photoacoustic tomography with variable sound speed

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Range descriptions for the spherical mean Radon transform

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Injectivity sets for the Radon transform over circles and complete systems of radial functions

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On the injectivity of the circular Radon transform

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A Range Description for the Planar Circular Radon Transform

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An introduction to mathematics of emerging biomedical imaging

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Electrical Impedance Tomography by Elastic Deformation

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Application of inverse source concepts to photoacoustic tomography

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On the Determination of a Function from Spherical Averages

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Inverse transport theory of photoacoustics

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The inversion problem and applications of the generalized radon transform

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The Quasi-Reversibility Method for Thermoacoustic Tomography in a Heterogeneous Medium

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The interior transmission problem

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Photoacoustic tomography with a limited-aperture planar sensor and a reverberant cavity

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Local Tomography

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Inversion of<i>N</i>-Dimensional Spherical Averages

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Inversion of Spherical Means and the Wave Equation in Even Dimensions

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Determining a Function from Its Mean Values Over a Family of Spheres

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The range of the spherical mean value operator for functions supported in a ball

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The spherical mean value operator with centers on a sphere

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Impedance-Acoustic Tomography

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Thermoacoustic computed tomography with large planar receivers

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THERMOACOUSTIC TOMOGRAPHY AND THE CIRCULAR RADON TRANSFORM: EXACT INVERSION FORMULA

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The Radon transform

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Time reversal in thermoacoustic tomography—an error estimate

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Reconstruction and time reversal in thermoacoustic tomography in acoustically homogeneous and inhomogeneous media

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Mathematics of thermoacoustic tomography

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On local tomography

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Explicit inversion formulae for the spherical mean Radon transform

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A series solution and a fast algorithm for the inversion of the spherical mean Radon transform

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Thermoacoustic tomography with detectors on an open curve: an efficient reconstruction algorithm

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Effects of wavelength-dependent fluence attenuation on the noninvasive photoacoustic imaging of hemoglobin oxygen saturation in subcutaneous vasculature <i>in vivo</i>

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A family of inversion formulas in thermoacoustic tomography

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Reconstruction of a two-dimensional reflecting medium over a circular domain: Exact solution

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Experimental evaluation of reconstruction algorithms for limited view photoacoustic tomography with line detectors

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Image restoration in optical-acoustic tomography

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Integral geometry of tensor fields on a class of non-simple Riemannian manifolds

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Thermoacoustic tomography with variable sound speed

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ON THE SHORT WAVE ASYMPTOTIC BEHAVIOUR OF SOLUTIONS OF STATIONARY PROBLEMS AND THE ASYMPTOTIC BEHAVIOUR AS<i>t</i>→ ∞ OF SOLUTIONS OF NON-STATIONARY PROBLEMS

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Photoacoustic and Thermoacoustic Tomography: Image Formation Principles

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Circular integrating detectors in photo and thermoacoustic tomography

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Identifiers

zbMATH Open document ID

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10.1007/978-1-4939-0790-8_51

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2789820

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