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Mathematics of thermoacoustic tomography (Q3503196)

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Language	Label	Description	Also known as
English	Mathematics of thermoacoustic tomography	scientific article

Statements

scholarly article

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Mathematics of thermoacoustic tomography (English)

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Leonid A. Kunyansky

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Peter A. Kuchment

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European Journal of Applied Mathematics

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publication date

22 May 2008

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full work available at URL

https://arxiv.org/abs/0704.0286

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zbMATH Keywords

inverse problems

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biomedical imaging

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electromagnetic waves

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MaRDI profile type

MaRDI publication profile

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Filtered backprojection for thermoacoustic computed tomography in spherical geometry

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Thermoacoustic computed tomography with large planar receivers

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Integral geometry in affine and projective spaces

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The Level Curves of Harmonic Functions

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The spherical mean value operator with centers on a sphere

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

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

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Inversion of Spherical Means and the Wave Equation in Even Dimensions

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

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Reconstruction from limited data of arc means

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On the range characterization for the two-dimensional attenuated x-ray transformation

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

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Synthetic aperture inversion

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

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

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Ranges and inversion formulas for spherical mean operator and its dual

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The inversion problem and applications of the generalized radon transform

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Über eine Mittelwertseigenschaft von Lösungen homogener linearer partieller Differentialgleichungen 2. Ordnung mit konstanten Koeffizienten

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

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On a Regularization Scheme for Linear Operators in Distribution Spaces with an Application to the Spherical Radon Transform

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Reconstructing singularities of a function from its Radon transform

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Injectivity of the spherical means operator

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On the Determination of a Function from Spherical Averages

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Application of inverse source concepts to photoacoustic tomography

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Fundamentality of ridge functions

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A Range Description for the Planar Circular 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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On the injectivity of the circular Radon transform

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Explicit inversion formulae for the spherical mean Radon transform

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Conical Uniqueness Sets for the Spherical Radon Transform

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On local tomography

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Singularities of the X-Ray Transform and Limited Data Tomography in $\mathbb{R}^2 $ and $\mathbb{R}^3 $

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The Dependence of the Generalized Radon Transform on Defining Measures

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Image restoration in optical-acoustic tomography

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Guest Editors' introduction

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Stationary sets for the wave equation in crystallographic domains

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Geometry of stationary sets for the wave equation in \(\mathbb R^n\): the case of finitely supported initial data

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

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Range descriptions for the spherical mean Radon 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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Approximation by spherical waves in \(L^p\)-spaces

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Identifiers

zbMATH Open document ID

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10.1017/S0956792508007353

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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:3503196

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