Mathematical Methods for Medical Imaging

The research field of the group are 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. Because of the high temporal resolution and short measurement times, MPI is promising for dynamic applications such as 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.

Another core area are inverse problems in physical applications. In current projects in collaboration with groups at the department of physics/DESY reconstruction methods for different applications are developed. Examples are ptychography and X-ray physics.