The research fields of the group are optimization and inverse problems with a strong focus on various applications from medical imaging and physics. This includes topics from modeling, simulation and reconstruction. A special interest are dynamic inverse problems and online reconstruction from dynamic data.
The core area in medical imaging consists of magnetic particle imaging (MPI). MPI allows the visualization of the concentration of magnetic nanoparticles inside the blood flow without use of any radiation. Changing magnetic fields are applied for the excitation of the nanoparticles injected into the blood flow and the induced voltage is measured. Because of the high temporal resolution and short measurement times, MPI is promising for dynamic applications such as live instrument tracking or blood flow visualization. Current projects on MPI cover the modelling of dynamic concentration, the formulation of adapted regularization methods and the envelopment of fast reconstruction algorithms. There is a strong collaboration with the Institute for Biomedical Imaging at the University hospital Hamburg Eppendorf.
Another core area are inverse problems in physical applications. In current projects in collaboration with groups at the DESY Hamburg and the department of physics at the university of Hamburg are reconstruction methods for different applications are developed. Examples are ptychography and X-ray physics.
Current projects
- Fast reconstruction methods for dynamic inverse problems
- Modelling and rekonstruction of time-depeent concentrations in magnetic particle imaging
- Variational regularization methods for 4D magnetic particle imaging
- Development of (stochastic) minimization algorithms
Third party founded projects
Current projects
DASHH project: „Model-Based Simulation of Dynamics in Ferromagnetic Nanostructures”
DASHH project: „Stochastic Phase-Space Sampling of Collective Light-Matter Interaction”
Beendete Projekte
- Project S3: „Blood Flow modeling and estimation by magnetic particle imaging” of the Hamburg Research Training Group (RTG) 2583 ‚Modeling, Simulation and Optimization of Fluid Dynamic Applications‘
- BMBF-Project: „Method and software development for solving the joint problem of x-ray diffraction and x-ray spectroscopy”
- DESY-Stratey fond: „Multi-messenger x-ray science”