Computer tomography

Unit Coordinator: Armin Iske
Programme: Erasmus Mundus
ECTS Credits: 6
Semester: 1
Year: 2
Campus: Hamburg University of Technology
Language: English
Aims:

This course gives an introduction to mathematical and numerical methods of medical imaging, where particular focus is placed on computer(ized) tomography (CT).

Content:
  • X-rays
  • Radon transform
  • Back projection
  • Central slice theorem
  • Filtered back projection formula
  • Discrete image reconstruction
  • Algebraic reconstruction techniques
  • Kernel-based image reconstructions
Pre-requisites:

Analysis, Linear Algebra, Numerical Analysis

Reading list:
  • C.L. Epstein: Introduction to the Mathematics of Medical Imaging. Second Edition. SIAM, Philadelphia, 2008. 
  • T.G. Feeman: The Mathematics of Medical Imaging. A Beginner's Guide. 2nd edition, Springer, New York, 2015.
  • S. Helgason: The Radon Transform. Second Edition. Birkhäuser, Boston, 1999.
  • A. Iske: Approximation Theory and Algorithms for Data Analysis. Texts in Applied Mathematics, volume 68, Springer, Cham, 2018.
  • F. Natterer: The Mathematics of Computerized Tomography. SIAM, Philadelphia, 2001.
  • F. Natterer and F. Wübbeling: Mathematical Methods in Image Reconstruction. SIAM, Philadelphia, 2001.

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