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A Derivative-Free Approach to Total Variation Regularization
Carsten Pontow, Otmar Scherzer
The goal of this paper is to present a novel approach for total variation regularization and Sobolev minimization, which are prominent tools for variational imaging. Thereby we use…
Causality Analysis of Frequency Dependent Wave Attenuation
Kowar Richard, Scherzer Otmar, Bonnefond Xavier
The work is inspired by thermo-and photoacoustic imaging, where recent efforts are devoted to take into account attenuation and varying wave speed parameters. In this paper we deri…
The Residual Method for Regularizing Ill-Posed Problems
Markus Grasmair, Markus Haltmeier, Otmar Scherzer
Although the \emph{residual method}, or \emph{constrained regularization}, is frequently used in applications, a detailed study of its properties is still missing. This sharply con…