Multiple illumination quantitative photoacoustic tomography using transport and diffusion models

DOI10.1090/CONM/559/11067zbMath1248.78011OpenAlexW2529403772MaRDI QIDQ2894114

Tanja Tarvainen, Ben T. Cox, Simon R. Arridge

Publication date: 28 June 2012

Published in: Tomography and Inverse Transport Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/559/11067

zbMATH Keywords

finite element methoddiffusion approximationradiative transfer equationill-posed inverse problemphotoacoustic imagingGauss-Newton approach

Mathematics Subject Classification ID

Newton-type methods (49M15) Integro-partial differential equations (45K05) Biological applications of optics and electromagnetic theory (78A70) Biomedical imaging and signal processing (92C55) Diffraction, scattering (78A45) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Variational methods applied to problems in optics and electromagnetic theory (78M30)

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Theoretically exact photoacoustic reconstruction from spatially and temporally reduced data ⋮ Mathematics of Hybrid Imaging: A Brief Review ⋮ Inverse transport problems in quantitative PAT for molecular imaging ⋮ Stabilizing inverse problems by internal data. II: Non-local internal data and generic linearized uniqueness ⋮ Approximate marginalization of unknown scattering in quantitative photoacoustic tomography ⋮ Characterizing Impacts of Model Uncertainties in Quantitative Photoacoustics ⋮ Disjoint sparsity for signal separation and applications to hybrid inverse problems in medical imaging

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