International PhD course on Inverse Problems with Applications in Tomography and Imaging

Location and Date: Copenhagen, Denmark, June 16th-20th 2014.


Getting there

Follow the map here; we are in the building which is marked with "Chemistry" on the map. Once you find the building, enter through the main entrance, and follow the long corridor to the right, past the cafeteria. When you get to a sign to the right that says "Auditorium 5-6", follow the sign and go to Auditorium 6.


Inverse problems are a class of problems in science and engineering, where one wants to determine phenomena that can only be measured by observing indirect effects. Such problems appear for instance in Tomography (CT), where the inner structure of a 3D object (e.g. a patient in medical CT or a crystal sample in materials science) is to be reconstructed from 2D projections. Inverse problems likewise occur in computer vision, such as in the reconstruction of the scene and camera motion from multiple views. This course will give a basic introduction to the mathematical and computational aspects of inverse problems, supplied with case studies in the form of applications from tomography, computer vision and bioimaging.

Learning Goals
After participating in this course, the student should be able to

  •     Understand the basic problems and standard solutions in inverse problems
  •     Identify and formulate inverse problems in their own research
  •     Perform numerical implementations that solve basic inverse problems
  •     Be familiar with applications of inverse problems, including computed tomography, optimization and bioimaging

Preparation and prerequisites

  • To prepare for the course the participants can read the suggested pre-reading material.
  • We ask that all students have matlab installed on their laptop in order to solve computational exercises during the course.


  • Ville Kolehmainen, University of Eastern Finland
  • Erkki Somersalo, Case Western Reserve University
  • Kenichi Kanatani, Okayama University
  • Per Christian Hansen, Technical University of Denmark
  • Martin Lindahl, Department of Biochemistry and Structural Biology, Lund University and the Department of Biosciences, Karolinska Institutet
  • Martin Bech, Medical Radiation Physics, Lund University


The PhD course is intended for PhD students with a solid background in applied mathematics and computer science. Interested researchers from academia and industry as well as highly motivated master students are also welcome (upon acceptance by the organizers).

Course Credit
This course gives 2.5 ECTS. To obtain course credit, students must attend the course and complete a report documenting the solution of exercises.

You can register for this course by sending an email to Susan Nasirumbi Ipsen at

Registration is free for academic participants. For non-academic participants the fee is 1500 DKK. Participants should cover their own accommodation, travel and local expenses.

Preliminary program



This course is organized in collaboration between DTU Compute and the Imaging and Machine Learning Research School/Image Section at DIKU.


Participants must arrange accommodation by themselves. Copenhagen has many hotel opportunities; affordable options include:

More inverse problems!

The week before our course, there is an introductory summer school on inverse problems in Stockholm lectured by Nuutti Hyvönen from Aalto University. See the web page for more information!


  • Itman PhD school, Technical University of Denmark
  • Faculty of Science, University of Copenhagen
  • Vækstforum Hovedstaden
  • Den Europæiske Fond for Regionaludvikling
  • Imaging and Machine Learning Research School, University of Copenhagen

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