316 citations
- Technische Universität DarmstadtDE72 papers
- GSI Helmholtz Centre for Heavy Ion ResearchDE21 papers
- Centre National de la Recherche ScientifiqueFR15 papers
- Michigan State UniversityUS9 papers
- Université Paris-SaclayFR9 papers
- Institut für Technische und Angewandte Physik (Germany)DE8 papers
- Max Planck Institute for Nuclear PhysicsDE8 papers
- RIKEN Nishina CenterJP8 papers
- Heidelberg UniversityDE7 papers
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- Tohoku UniversityJP7 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR6 papers
8 papers · 1 filter
Reconstruction Formulae for 3D Field-Free Line Magnetic Particle Imaging
Vladyslav Gapyak, Thomas März, Andreas Weinmann
Magnetic Particle Imaging (MPI) is a promising noninvasive in vivo imaging modality that makes it possible to map the spatial distribution of superparamagnetic nanoparticles by exp…
Variational Model-Based Reconstruction Techniques for Multi-Patch Data in Magnetic Particle Imaging
Vladyslav Gapyak, Thomas März, Andreas Weinmann
Magnetic Particle Imaging is an emerging imaging modality through which it is possible to detect tracers containing superparamagnetic nanoparticles. The exposure of the particles t…
Smoothing splines for discontinuous signals
Martin Storath, Andreas Weinmann
Smoothing splines are twice differentiable by construction, so they cannot capture potential discontinuities in the underlying signal. In this work, we consider a special case of t…
Smoothing for signals with discontinuities using higher order Mumford-Shah models
Martin Storath, Lukas Kiefer, Andreas Weinmann
Minimizing the Mumford-Shah functional is frequently used for smoothing signals or time series with discontinuities. A significant limitation of the standard Mumford-Shah model is…
Mathematical Analysis of the 1D Model and Reconstruction Schemes for Magnetic Particle Imaging
Wolfgang Erb, Andreas Weinmann, Mandy Ahlborg +10
Magnetic particle imaging (MPI) is a promising new in-vivo medical imaging modality in which distributions of super-paramagnetic nanoparticles are tracked based on their response i…
Total Generalized Variation for Manifold-valued Data
K. Bredies, M. Holler, M. Storath +1
In this paper we introduce the notion of second-order total generalized variation (TGV) regularization for manifold-valued data in a discrete setting. We provide an axiomatic appro…