Analysis of Iterative Methods in Photoacoustic Tomography with Variable Sound Speed

DOI10.1137/16M1104822zbMath1371.35347arXiv1611.07563OpenAlexW2620263625MaRDI QIDQ5266392

No author found.

Publication date: 2 June 2017

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.07563

zbMATH Keywords

iterative regularizationimage reconstructionadjoint operatorNesterov's methodphotoacoustic tomographyvariable sound speedvisibility conditionCG methodLandweber's methodinvisibility condition

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Inverse problems for PDEs (35R30) Iterative numerical methods for linear systems (65F10) Linear waves in solid mechanics (74J05) Wave front sets in context of PDEs (35A18)

Related Items (19)

A convergent numerical method to recover the initial condition of nonlinear parabolic equations from lateral Cauchy data ⋮ Simultaneous reconstruction of optical absorption property and speed of sound in intravascular photoacoustic tomography ⋮ Analysis for Full-Field Photoacoustic Tomography with Variable Sound Speed ⋮ A continuous adjoint for photo-acoustic tomography of the brain ⋮ On the convergence of the time reversal method for thermoacoustic tomography in elastic media ⋮ Explicit Inversion Formulas for the Two-Dimensional Wave Equation from Neumann Traces ⋮ Well-Posedness for Photoacoustic Tomography with Fabry--Perot Sensors ⋮ Iterative methods for photoacoustic tomography in attenuating acoustic media ⋮ A Galerkin Least Squares Approach for Photoacoustic Tomography ⋮ Efficient regularization with wavelet sparsity constraints in photoacoustic tomography ⋮ Operator learning approach for the limited view problem in photoacoustic tomography ⋮ Direct quantitative photoacoustic tomography for realistic acoustic media ⋮ Photoacoustic tomography with direction dependent data: an exact series reconstruction approach ⋮ Reconstruction algorithms for photoacoustic tomography in heterogeneous damping media ⋮ Deep learning for photoacoustic tomography from sparse data ⋮ Recovering the initial condition of parabolic equations from lateral Cauchy data via the quasi-reversibility method ⋮ Optoacoustic image reconstruction: the full inverse problem with variable bases ⋮ Parametrix for the inverse source problem of thermoacoustic tomography with reduced data ⋮ Multiscale Factorization of the Wave Equation with Application to Compressed Sensing Photoacoustic Tomography

Uses Software

• k-Wave

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
• Photo-acoustic inversion in convex domains
• Multiwave tomography with reflectors: Landweber's iteration
• Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
• Non homogeneous boundary value problems for second order hyperbolic operators
• Introductory lectures on convex optimization. A basic course.
• A family of inversion formulas in thermoacoustic tomography
• Inversion of circular means and the wave equation on convex planar domains
• On artifacts in limited data spherical Radon transform: curved observation surface
• A direct method for photoacoustic tomography with inhomogeneous sound speed
• On the adjoint operator in photoacoustic tomography
• Preconditioning discretizations of systems of partial differential equations
• On singularities and instability of reconstruction in thermoacoustic tomography
• A uniform reconstruction formula in integral geometry
• Thermoacoustic tomography arising in brain imaging
• Some Convergence Properties of the Conjugate Gradient Method in Hilbert Space
• An Efficient Neumann Series–Based Algorithm for Thermoacoustic and Photoacoustic Tomography with Variable Sound Speed
• ON THE RATE OF CONVERGENCE OF THE CONJUGATE GRADIENT METHOD FOR LINEAR OPERATORS IN HILBERT SPACE
• A Dissipative Time Reversal Technique for Photoacoustic Tomography in a Cavity
• Explicit inversion formulae for the spherical mean Radon transform
• Mathematics of thermoacoustic tomography
• Reconstruction and time reversal in thermoacoustic tomography in acoustically homogeneous and inhomogeneous media
• Circular integrating detectors in photo and thermoacoustic tomography
• The Quasi-Reversibility Method for Thermoacoustic Tomography in a Heterogeneous Medium
• Time reversal in thermoacoustic tomography—an error estimate
• Determining a Function from Its Mean Values Over a Family of Spheres
• Thermoacoustic computed tomography with large planar receivers
• Photoacoustic and Thermoacoustic Tomography: Image Formation Principles
• Thermoacoustic tomography with variable sound speed
• Artifacts in Incomplete Data Tomography with Applications to Photoacoustic Tomography and Sonar
• Superlinear Convergence of Krylov Subspace Methods for Self-Adjoint Problems in Hilbert Space
• Multiwave imaging in an enclosure with variable wave speed
• Inversion of Spherical Means and the Wave Equation in Even Dimensions
• Universal Inversion Formulas for Recovering a Function from Spherical Means
• 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
• On Artifacts in Limited Data Spherical Radon Transform: Flat Observation Surfaces
• The Conjugate Gradient Method for Linear and Nonlinear Operator Equations
• On the Convergence of the Conjugate Gradient Method for Singular Linear Operator Equations
• The Radon Transform and Medical Imaging
• Methods of conjugate gradients for solving linear systems

This page was built for publication: Analysis of Iterative Methods in Photoacoustic Tomography with Variable Sound Speed