Computer tomography (Winter term 2018)

Note: The course on computer tomography takes places in the first 7 weeks of the semester and is the first part of the course about inverse problems which takes place the whole sememster!

The course will treat computer tomography, i.e. we will discuss the mathematical model (Radon transformation), theoretical foundations and how to reconstruct from given noisy data. Since the reconstruction problem is a typical example of an ill-posed inverse problem, we will study also general concepts of solving inverse problems. In particular the following topics are discussed:

• Expertimental setup and medical application
• The Radon transformation
• The filtered back projection
• Iterative reconstruction methods
• Background: Solving inverse problems (only introduction into the topic).

Exercises:

• One exercises sheet every week;
• You need to mark at least 60% of the overall exercises.
• The exercises consits of both theoretical and pratical (Matlab) exercises.