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math.AP2015
A variational method for quantitative photoacoustic tomography with piecewise constant coefficients
Elena Beretta, Monika Muszkieta, Wolf Naetar +1
In this article, we consider the inverse problem of determining spatially heterogeneous absorption and diffusion coefficients from a single measurement of the absorbed energy (in t…
math.AP2014
Quantitative photoacoustic tomography with piecewise constant material parameters
Wolf Naetar, Otmar Scherzer
The goal of quantitative photoacoustic tomography is to determine optical and acoustical material properties from initial pressure maps as obtained, for instance, from photoacousti…
math.AP2012
The Levenberg-Marquardt Iteration for Numerical Inversion of the Power Density Operator
Guillaume Bal, Wolf Naetar, Otmar Scherzer +1
In this paper we develop a convergence analysis in an infinite dimensional setting of the Levenberg-Marquardt iteration for the solution of a hybrid conductivity imaging problem. T…