On Time Reversal in Photoacoustic Tomography for Tissue Similar to Water

DOI10.1137/130931904zbMath1391.35421arXiv1308.0498OpenAlexW2023946107MaRDI QIDQ2876815

Richard Kowar

Publication date: 20 August 2014

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

Full work available at URL: https://arxiv.org/abs/1308.0498

zbMATH Keywords

time reversalphotoacoustic tomographyinverse and ill-posed problems

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Wave equation (35L05) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52) Linear integral equations (45A05)

Related Items (8)

Causality analysis of the fractional state and wave equations based on fractional Laplacians ⋮ The Carleman contraction mapping method for quasilinear elliptic equations with over-determined boundary data ⋮ Iterative methods for photoacoustic tomography in attenuating acoustic media ⋮ Analysis of the Linearized Problem of Quantitative Photoacoustic Tomography ⋮ The quasi-reversibility method to numerically solve an inverse source problem for hyperbolic equations ⋮ Reconstruction algorithms for photoacoustic tomography in heterogeneous damping media ⋮ Multiscale Factorization of the Wave Equation with Application to Compressed Sensing Photoacoustic Tomography ⋮ Carleman estimates and the contraction principle for an inverse source problem for nonlinear hyperbolic equations

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