Fachbereich Mathematik 
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Computer tomography (Winter term 2021)

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 semester! You can either participate at the CT course or at the inverse problems course.

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:

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

At the moment, it is difficult to plan the teaching in winter term. I hope that we can have normal lectures in the Geomatikum, but if this is not possible, I will provide live BBB lectures. You will find actual information on Moodle.

Update 1.10.21: The course will take place in presence and not as in Stine stated as online course! However, check Stine for concrete days and times.

Update 4.10.21: Lectures: Monday, 12-14, H1 and Wednesday, 14-16, H2; Exercise Monday, 14-16, room 1240

Exercises:

  • One exercises sheet every week;
  • You need to mark at least 60% of the overall exercises.
  • The exercises consists of both theoretical and practical (Matlab) exercises.
  • Exercises are taught by Dr. Do

Actual exercise sheet: See Moodle course

Exams:

    The exam (first round) will take place in December 2021 (only for the participants of the CT course).

Literature:

    T.G. Feeman, The mathematics of medical imaging, Springer, 2010
    F. Natterer, The Mathematics of Computerized Tomography, Classics in Applied Mathematics 32,SIAM, 2001
    F. Natterer and F. Wübbeling, Mathematical Methods in Image Reconstruction, SIAM,Philadelphia, 2001
    T. Buzug, Computer tomography
    Engl, Hanke, Neubauer, Regularization of inverse problems
    Rieder, Keine Probleme mit inversen Problemen

Other useful material


 
  Seitenanfang  Impress 2021-10-05, Christina Brandt