Reconstruction and Analysis of Images and Objects

Biomedizinische Bildverarbeitung
Institut für Angewandte Mathematik, Rheinische Friedrich-Wilhelms-Universität Bonn
Prof. Dr. rer. nat. Alexander Effland

The Research Group Biomedical Image Processing at the Institute of Applied Mathematics at the University of Bonn is part of the Interdisciplinary Research Unit Mathematics and Life Sciences, which connects the Clusters of Excellence Hausdorff Center for Mathematics and ImmunoSensation. The primary goal is the reconstruction and analysis of image data as well as geometric objects, for which, for example, variational methods, PDE-based techniques, or machine learning approaches are exploited. 

Another focus of the group is the analysis of shapes using (discrete) Riemannian geometry. These methods are frequently applied in a wide variety of medical specialties, such as immunology, cardiology, and radiology.

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Methods

  • reconstruction and analysis of images and geometric objects
  • mathematical foundations of machine/deep learning
  • shape analysis using (discrete) Riemannian geometry