Research Group of Prof. Dr. Martin Rumpf
Research Projects
Current
Numerical optimization of shape microstructures
Project C06, DFG SFB 1060.
Completed
4D structural analysis of the sugar beet geometry
Project D4, BMBF competence network.
Anisotropic Curvature Flows in Surface Modeling
Mathematical modeling and simulation of microstructured magnetic-shape-memory materials
Project A6, DFG priority program 1239.
Morphological Non-Rigid Registration
The registration problems concerns the problem of finding a deformation from one image into another. In time sequences for example one might be interested in the deformation or motion field of two subsequent images. This plays an important role for time-sequence analysis in medical imaging. Another research interest is the non-rigid registration of multi-modal data (e.g. CT, MRT). We use multiscale, multilevel and multigrid methods to solve the computationally demanding problem with PDEs.
Multi-Scale Shape Optimization under Uncertainty
Segmentation with adaptive Level Set methods
