55 citations · 598 across the 84 of their papers we have counts for
4 papers · 2 filters
Convergence rates and structure of solutions of inverse problems with imperfect forward models
Martin Burger, Yury Korolev, Julian Rasch
The goal of this paper is to further develop an approach to inverse problems with imperfect forward operators that is based on partially ordered spaces. Studying the dual problem y…
The Inverse Problem of Magnetorelaxometry Imaging
Lea Föcke, Daniel Baumgarten, Martin Burger
The aim of this paper is to provide a solid mathematical discussion of the inverse problem in Magnetorelaxometry Imaging (MRXI), a currently developed technique for quantitative bi…
Unified Models for Second-Order TV-Type Regularisation in Imaging - A New Perspective Based on Vector Operators
Eva-Maria Brinkmann, Martin Burger, Joana Sarah Grah
We introduce a novel regulariser based on the natural vector field operations gradient, divergence, curl and shear. For suitable choices of the weighting parameters contained in ou…
Modern Regularization Methods for Inverse Problems
Martin Benning, Martin Burger
Regularization methods are a key tool in the solution of inverse problems. They are used to introduce prior knowledge and make the approximation of ill-posed (pseudo-)inverses feas…