105 citations · 255 across the 30 of their papers we have counts for
6 papers · 1 filter
Asymptotic Expansions for Higher Order Elliptic Equations with an Application to Quantitative Photoacoustic Tomography
Andrea Aspri, Elena Beretta, Otmar Scherzer +1
In this paper, we derive new asymptotic expansions for the solutions of higher order elliptic equations in the presence of small inclusions. As a byproduct, we derive a topological…
Preservation of Piecewise Constancy under TV Regularization with Rectilinear Anisotropy
Clemens Kirisits, Eric Setterqvist, Otmar Scherzer
A recent result by Lasica, Moll and Mucha about the -anisotropic Rudin-Osher-Fatemi model in asserts that the solution is piecewise constant on a rectilinear…
Regularization with Metric Double Integrals for Vector Tomography
Melanie Melching, Otmar Scherzer
We present a family of non-local variational regularization methods for solving tomographic problems, where the solutions are functions with range in a closed subset of the Euclide…
Data driven regularization by projection
Andrea Aspri, Yury Korolev, Otmar Scherzer
We study linear inverse problems under the premise that the forward operator is not at hand but given indirectly through some input-output training pairs. We demonstrate that regul…
Preconditioning Inverse Problems for Hyperbolic Equations with Applications to Photoacoustic Tomography
Alexander Beigl, Otmar Scherzer, Jarle Sogn +1
This paper is concerned with robust preconditioning of wave equations constrained linear inverse problems from boundary observation data. The main result of this paper is a concept…
Eigenvector Model Descriptors for Solving an Inverse Problem of Helmholtz Equation: Extended Materials
Florian Faucher, Otmar Scherzer, Hélène Barucq
We study the seismic inverse problem for the recovery of subsurface properties in acoustic media. In order to reduce the ill-posedness of the problem, the heterogeneous wave speed…