A Dissipative Time Reversal Technique for Photoacoustic Tomography in a Cavity
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Publication:3188203
DOI10.1137/15M1049683MaRDI QIDQ3188203
No author found.
Publication date: 17 August 2016
Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1507.01324
Biomedical imaging and signal processing (92C55) Inverse problems for PDEs (35R30) Wave equation (35L05)
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Cites Work
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- Photo-acoustic inversion in convex domains
- A parametrix for a problem of optical-acoustic tomography
- The propagation of singularities along gliding rays
- A family of inversion formulas in thermoacoustic tomography
- Multi-wave imaging in attenuating media
- On the mixed problem for hyperbolic equations of second order with the Neumann boundary condition
- A uniform reconstruction formula in integral geometry
- Thermoacoustic tomography arising in brain imaging
- An Efficient Neumann Series–Based Algorithm for Thermoacoustic and Photoacoustic Tomography with Variable Sound Speed
- 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
- FREQUENCY DOMAIN RECONSTRUCTION FOR PHOTO- AND THERMOACOUSTIC TOMOGRAPHY WITH LINE DETECTORS
- Time reversal in thermoacoustic tomography—an error estimate
- Fast direct solvers for integral equations in complex three-dimensional domains
- Handbook of Mathematical Methods in Imaging
- Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
- Singularities of boundary value problems. I
- Determining a Function from Its Mean Values Over a Family of Spheres
- Mathematics of Photoacoustic and Thermoacoustic Tomography
- Thermoacoustic tomography with variable sound speed
- Gradual time reversal in thermo- and photo-acoustic tomography within a resonant cavity
- Multiwave tomography in a closed domain: averaged sharp time reversal
- Multiwave imaging in an enclosure with variable wave speed
- Inversion of Spherical Means and the Wave Equation in Even Dimensions
- Photoacoustic tomography in a rectangular reflecting cavity
- 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
- Photoacoustic tomography with a limited-aperture planar sensor and a reverberant cavity
