Stability for quantitative photoacoustic tomographywith well-chosen illuminations

DOI10.1007/s10231-016-0577-4zbMath1371.35337arXiv1505.03657OpenAlexW1883358017MaRDI QIDQ522143

Giovanni Alessandrini, Elisa Francini, Sergio Vessella, Michele Di Cristo

Publication date: 13 April 2017

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.03657

zbMATH Keywords

stabilityinterior dataquantitative photoacoustic tomography

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Inverse problems for PDEs (35R30) Second-order elliptic equations (35J15)

Related Items (15)

Non-zero constraints in elliptic PDE with random boundary values and applications to hybrid inverse problems ⋮ A small collection of open problems ⋮ Lipschitz dependence of the coefficients on the resolvent and greedy approximation for scalar elliptic problems ⋮ Inverse Transport and Diffusion Problems in Photoacoustic Imaging with Nonlinear Absorption ⋮ Coefficient identification in parabolic equations with final data ⋮ Stable determination of a Lamé coefficient by one internal measurement of displacement ⋮ Critical points for elliptic equations with prescribed boundary conditions ⋮ Stability for quantitative photoacoustic tomography revisited ⋮ Positive Jacobian constraints for elliptic boundary value problems with piecewise-regular coefficients arising from multi-wave inverse problems ⋮ Simultaneous Reconstruction of Optical and Acoustical Properties in Photoacoustic Imaging Using Plasmonics ⋮ Nonlinear Quantitative Photoacoustic Tomography with Two-Photon Absorption ⋮ Characterizing Impacts of Model Uncertainties in Quantitative Photoacoustics ⋮ Hölder stability of quantitative photoacoustic tomography based on partial data ⋮ Hölder stability for an inverse medium problem with internal data ⋮ Some stability inequalities for hybrid inverse problems

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