180 citations · 1.2k across the 100 of their papers we have counts for
5 papers · 1 filter
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…
Photoacoustic imaging in attenuating acoustic media based on strongly causal models
Konstantinos Kalimeris, Otmar Scherzer
In this paper we derive time reversal imaging functionals for two strongly causal acoustic attenuation models, which have been proposed recently. The time reversal techniques are b…
Nonparametric instrumental regression with non-convex constraints
Markus Grasmair, Otmar Scherzer, Anne Vanhems
This paper considers the nonparametric regression model with an additive error that is dependent on the explanatory variables. As is common in empirical studies in epidemiology and…
Reconstruction Formulas for a Single Scattering Model in Photoacoustic Imaging and Applications to Sectional Imaging
Peter Elbau, Otmar Scherzer
There has been devoted significant mathematical research to model the light propagation in tissue and to recover the absorption and scattering coefficients after photoacoustic inve…
A convergence analysis of a multi-level projected steepest descent iteration for nonlinear inverse problems in Banach spaces subject to stability constraints
Maarten V. de Hoop, Lingyun Qiu, Otmar Scherzer
We consider nonlinear inverse problems described by operator equations in Banach spaces. Assuming conditional stability of the inverse problem, that is, assuming that stability hol…