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
Multi-Scale Shape Optimization under Uncertainty
Segmentation with adaptive Level Set methods
Segmentation is a key step for the evaluation and detailed study in a wide range of computer vision applications. It concerns the recognition of certain kinds of objects in given digital images, e.g. the extraction of objects like tumors in medical images. We use level set methods for the flexible numerical handling of surface evolutions on adaptive grids. This becomes very important for the handling of ever increasing resolution capabilities of scanning devices.