Numerical Laboratory in Computerized Tomography - SS21

Summer Semester 2021

Lecturer: Prof. Dr. Thomas Schuster

Time: Tuesday 14-16, Thursday 14-16
Location: online via Microsoft Teams
Start: Tuesday, April 13th 2021

Registration
Please register for the lecture via  eMail (including your full name and your matriculation number) by Friday April 9th if you want to participate. This is necessary because of the current corona crisis. Please do so at your earliest convenience such that we are able to plan lecture and tutorials appropriately.

The course will be held in English; in case all participants speak German, the lectures will be in German.

Content

In the lecture the mathematical models for different types of computerized tomography will be presented. These models are the basis for the development of numerical solution methods, which ultimately lead to imaging procedures. The goal of the lecture is the implementation of numerical solution algorithms in the field of computed tomography.

The first half of the lecture takes place in a 4 lecture hours + 2 tutorial hours rhythm and presents the most important mathematical basics of tomographic methods. In the second half, numerical solution methods for tomographic problems will be implemented in supervised group work and will therefore take place in a 2 lecture hours + 4 tutorial hours rhythm.
Requirement: Bring your laptops with pre-installed MATLAB!

This course can be taken either as a lecture or as an ungraded internship. Successful participants receive 9 ECTS points for the lecture and 12 ECTS points for the internship. In any case, a presentation about the results of the group work must be held and an exam must be taken and passed at the end of the lecture. The final grade for the 9-ECTS certificate is then averaged from the grade of the exam and the grade of the presentation. If the course is to count as an internship, a written elaboration on the contents of the course must also be prepared.

Exercises

In the first half of the semester there will be theoretical tasks to deepen the lecture contents.
From the second half of the semester onwards, only practical tasks will be required. For this purpose, the Tuesday lecture 14-16 will be converted into another exercise date.
The practical group work can be done in groups of two people.

The first exercise will take place on Thursday April 22th via MS Teams.

The practical exercises start on 8th June. For these you should bring your laptop with MATLAB installed.

Literature

Relevant literature is available in the library ("Semesterapparat").

• F. Natterer, The Mathematics of Computerized Tomography, Wiley 1986
• F. Natterer, F. Wübbeling, Mathematical Methods in Image Reconstruction, SIAM 2001
• A. C. Kak, M. Slaney, Principles of Computerized Tomographic Imaging, SIAM 2001
• T. M. Buzug, Einführung in die Computertomographie, Springer 2005
• A. K. Louis, Inverse und schlecht gestellte Probleme, Teubner 1989

Contact

If you have any questions, please contact Lukas Vierus or Clemens Meiser via eMail.