In this seminar, differential geometric topics will be independently developed based on current research and presented in the form of a talk. Particular emphasis is placed on the concrete implementation of differential geometric concepts in application scenarios and the questions of discretization and implementation. Learning objectives are a deeper understanding of differential geometry ...

The lecture introduces basics to visualization and its applications in mathematics, computer graphics and MINT-subjects. The following topics well be covered: Essential data structures Representation of geometries as discrete meshes Theory of discrete surfaces Subdivision schemes of curves and surfaces Wavelets Modeling Visualization of vector fields Visualization software and ...