Photoacoustic tomography with direction dependent data: an exact series reconstruction approach

DOI10.1088/1361-6420/ab2a30zbMath1423.92190arXiv1812.09545OpenAlexW3102179735WikidataQ127665501 ScholiaQ127665501MaRDI QIDQ5236695

Gerhard Zangerl, Markus Haltmeier, Sunghwan Moon

Publication date: 10 October 2019

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.09545

zbMATH Keywords

wave equationspherical geometryreconstruction formulaimage reconstructionphotoacoustic tomographyNeumann dataseries inversion

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) PDEs in connection with biology, chemistry and other natural sciences (35Q92)

Related Items (10)

Photoacoustic inversion formulas using mixed data on finite time intervals* ⋮ Inversion of the pair of weighted and classical circular Radon transforms in \(\mathcal{C}(\mathbf{R}^2)\) ⋮ Singular Value Decomposition of the Wave Forward Operator with Radial Variable Coefficients ⋮ Explicit Inversion Formulas for the Two-Dimensional Wave Equation from Neumann Traces ⋮ Well-Posedness for Photoacoustic Tomography with Fabry--Perot Sensors ⋮ Reconstruction of the initial function from the solution of the fractional wave equation measured in two geometric settings ⋮ Photoacoustic tomography with line detector: exact inversion formula ⋮ Generalized Radon transforms and applications in tomography ⋮ Orthogonal function series formulas for inversion of the spherical Radon transform ⋮ Recovering the Initial Data of the Wave Equation from Neumann Traces

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