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Method-oriented research

Die Arbeit am Institut umfasst sowohl theoretische Verfahren als auch deren praktische Umsetzung. Die Forschung konzentriert sich dabei auf Verfahren, die in Anwendungen zu signifikanten Verbesserungen beitragen.

Problem-oriented realization

The realization of the methods and their application on concrete problems forms also an important base of our work. In Cooperation with extern partners comming from research or industry we work on different problem fields. Some of them are presented here:

• X-ray computed tomography in medicine and non-destructive testing
• Mathematics in medicine and biology
• Gait analysis
• Mathematical finance

Mathematics in Biology and Medicine

In cooperation with external specialists we develop models for cell migration and collagen matrix modification for better understanding human biology and improvement of future therapy strategies.

Signal Processing and Pattern Recognition

Raw signals practically never exhibit the searched-for information. Hence methods for noise rejection, data reduction and extraction of relevant information are investigated.

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Inverse Problems

Inverse problems arise when a searched-for quantity is not directly observable. A representative example is computerized tomography. The approximate inverse, developed in the institute, is a versatile method that leads to highly efficient algorithms. Even features can directly be calculated from the data without the detour over the density itself. The images on the left are reconstructions from real data and show the superiority of the approach. The field of application includes nondestructive testing, Maxwell's equation and biology/medicine. For more details see Inverse Problems.