Modul

Success is assessed in the form of an oral examination lasting approx. 30 minutes.

Graduates become familiar with some imaging methods and are able to discuss and analyze the underlying mathematical aspects. In particular, they will be able to explain the functional-analytical properties of the imaging operators. They can implement the corresponding reconstruction algorithms and  they can explain and evaluate the artifacts that appear. They are able to apply the techniques they have learned to related problems.

None

• Variants of tomography (X-ray, impedance, seismic, etc.)
• Properties of (generalized) Radon transforms
• Microlocal analysis/Pseudodifferential operators
• Ill-Posedness and regularization
• Reconstruction algorithms

The course „Functional Analysis“ is  recommended.

Total work load: 150 hours

Attendance: 60 hours

• lectures, problem classes, and examination 

Self-studies: 90 hours

• follow-up and deepening of the course content,
• work on problem sheets,
• literature study and internet research relating to the course content,
• preparation for the module examination