Mathematics of Photoacoustic and Thermoacoustic Tomography
From MaRDI portal
Publication:2789820
DOI10.1007/978-1-4939-0790-8_51zbMath1331.92076OpenAlexW2963822251MaRDI QIDQ2789820
Leonid A. Kunyansky, Peter A. Kuchment
Publication date: 2 March 2016
Published in: Handbook of Mathematical Methods in Imaging (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-1-4939-0790-8_51
Biological applications of optics and electromagnetic theory (78A70) Biomedical imaging and signal processing (92C55)
Related Items (22)
Consistency of Bayesian inference with Gaussian process priors for a parabolic inverse problem ⋮ Infinite dimensional compressed sensing from anisotropic measurements and applications to inverse problems in PDE ⋮ The vertical slice transform on the unit sphere ⋮ A fully non-linear optimization approach to acousto-electric tomography ⋮ Quantitative thermoacoustic tomography with microwaves sources ⋮ Approximate integrals over the volume of the ball ⋮ Covariance models and Gaussian process regression for the wave equation. Application to related inverse problems ⋮ Weighted Radon transforms of vector fields, with applications to magnetoacoustoelectric tomography ⋮ Fixed Angle Inverse Scattering for Sound Speeds Close to Constant ⋮ Flow Measurement: An Inverse Problem Formulation ⋮ On the hemispherical transform in the half-space and related Radon transforms ⋮ Microlocally accurate solution of the inverse source problem of thermoacoustic tomography ⋮ Resolution Analysis of Inverting the Generalized Radon Transform from Discrete Data in $\mathbb{R}^3$ ⋮ An efficient reconstruction approach for a class of dynamic imaging operators ⋮ Generalized Radon transforms and applications in tomography ⋮ Operator learning approach for the limited view problem in photoacoustic tomography ⋮ Motion Compensation Strategies in Tomography ⋮ Infinite-dimensional inverse problems with finite measurements ⋮ Recovery of discontinuous Lamé parameters from exterior Cauchy data ⋮ Parametrix for the inverse source problem of thermoacoustic tomography with reduced data ⋮ Compressed Sensing Photoacoustic Tomography Reduces to Compressed Sensing for Undersampled Fourier Measurements ⋮ On the exactness of the universal backprojection formula for the spherical means Radon transform
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An introduction to mathematics of emerging biomedical imaging
- The interior transmission problem
- The Radon transform
- Approximation by spherical waves in \(L^p\)-spaces
- Image restoration in optical-acoustic tomography
- Injectivity sets for the Radon transform over circles and complete systems of radial functions
- Range conditions for a spherical mean transform
- A family of inversion formulas in thermoacoustic tomography
- Range descriptions for the spherical mean Radon transform
- Explicit inversion formulae for the spherical mean Radon transform
- A Range Description for the Planar Circular Radon Transform
- Mathematics of thermoacoustic tomography
- Reconstruction and time reversal in thermoacoustic tomography in acoustically homogeneous and inhomogeneous media
- Thermoacoustic tomography with detectors on an open curve: an efficient reconstruction algorithm
- Electrical Impedance Tomography by Elastic Deformation
- Circular integrating detectors in photo and thermoacoustic tomography
- The Quasi-Reversibility Method for Thermoacoustic Tomography in a Heterogeneous Medium
- Impedance-Acoustic Tomography
- Time reversal in thermoacoustic tomography—an error estimate
- The inversion problem and applications of the generalized radon transform
- Inversion ofN-Dimensional Spherical Averages
- On the Determination of a Function from Spherical Averages
- Reconstruction of a two-dimensional reflecting medium over a circular domain: Exact solution
- Local Tomography
- ON THE SHORT WAVE ASYMPTOTIC BEHAVIOUR OF SOLUTIONS OF STATIONARY PROBLEMS AND THE ASYMPTOTIC BEHAVIOUR ASt→ ∞ OF SOLUTIONS OF NON-STATIONARY PROBLEMS
- Determining a Function from Its Mean Values Over a Family of Spheres
- Thermoacoustic computed tomography with large planar receivers
- On the injectivity of the circular Radon transform
- On local tomography
- Photoacoustic and Thermoacoustic Tomography: Image Formation Principles
- Thermoacoustic tomography with variable sound speed
- THERMOACOUSTIC TOMOGRAPHY AND THE CIRCULAR RADON TRANSFORM: EXACT INVERSION FORMULA
- Inverse transport theory of photoacoustics
- Inversion of Spherical Means and the Wave Equation in Even Dimensions
- Uniqueness of reconstruction and an inversion procedure for thermoacoustic and photoacoustic tomography with variable sound speed
- A series solution and a fast algorithm for the inversion of the spherical mean Radon transform
- Application of inverse source concepts to photoacoustic tomography
- The spherical mean value operator with centers on a sphere
- Experimental evaluation of reconstruction algorithms for limited view photoacoustic tomography with line detectors
- Photoacoustic tomography with a limited-aperture planar sensor and a reverberant cavity
- Effects of wavelength-dependent fluence attenuation on the noninvasive photoacoustic imaging of hemoglobin oxygen saturation in subcutaneous vasculature in vivo
- Integral geometry of tensor fields on a class of non-simple Riemannian manifolds
- The range of the spherical mean value operator for functions supported in a ball
This page was built for publication: Mathematics of Photoacoustic and Thermoacoustic Tomography