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Modul
Mathematical Methods of Imaging [M-MATH-103260]
Credits
5Recurrence
UnregelmäßigDuration
1 SemesterLanguage
Level
4Version
1Responsible
Organisation
- KIT-Fakultät für Mathematik
Part of
Bricks
Identifier | Name | LP |
---|---|---|
T-MATH-106488 | Mathematical Methods of Imaging | 5 |
Competence Certificate
Success is assessed in the form of an oral examination lasting approx. 30 minutes.
Competence Goal
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.
Prerequisites
None
Content
- Variants of tomography (X-ray, impedance, seismic, etc.)
- Properties of (generalized) Radon transforms
- Microlocal analysis/Pseudodifferential operators
- Ill-Posedness and regularization
- Reconstruction algorithms
Recommendation
The course „Functional Analysis“ is recommended.
Workload
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