MINGLE
Multiresolution in Geometric Modelling
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[ Munich University of Technology (TUM) ]

Munich University of Technology (TUM),
Chair for Numerical Analysis and Scientific Computing

The Munich University of Technology (TUM) is among Germany's largest Technical Universities. Its Faculty for Mathematics plays within TUM a central role by providing services such as teaching and know-how transfers to other faculties, mainly to engineering. The Faculty is split into twelve chairs, among them the new Chair for Numerical Analysis and Scientific Computing (M3), which was founded in April 1998 by the inauguration of its head, Folkmar Bornemann, and a Chair for Applied Mathematics in Ecology and Medicine (M12), headed by Rupert Lasser.

The general focus of M3 is on numerical analysis and scientific computing, i.e. simulation, efficient algorithms and visualization techniques for scientific problems, especially in the area of the numerical treatment of partial differential equations, whereas M12 concentrates its activities on mathematical methods in signal processing and various of its applications in health and environmental research, such as medical imaging, remote sensing, landscape analysis and geoinformation systems.

Based on common activities in approximation theory, there is a close collaboration between these two chairs. In particular, there is an ongoing joint project on multivariate scattered data approximation which is closely related to the topics multiresolution analysis and geometric modelling. The project is concerned with the design of stable and efficient algorithms and it addresses aspects concerning error analysis. Data thinning and filtering using triangulation methods are, along with wavelets and radial basis functions in combination with functional analysis, among the key techniques.

Project Team




Prepared by: SINTEF Applied Mathematics & TECHNION, Computer Science Dept.
Last update: June 15, 2000 | Vitaly Surazhsky