The aim of this workshop is to bring together experts from mathematics, physics, biology, and medicine in fields where tomographic reconstruction methods are applied.

Examples range

• from analysing astronomical data recorded by huge telescopes, where only very limited angle information is available and refined adaptive optics techniques are used to remove distortions from the atmosphere,
• over different variants of exploring wave phenomena in biological samples (such as computer tomography, sonography, optical coherence tomography, photoacoustic imaging, elastography, or magnetic resonance imaging to name just a few), where typically a full quantitative reconstruction of the analysed sample would be desirable,
• down to microscopical scales studied by methods such as stochastic super-resolution microscopy, where localisations of blinking fluorescent molecules below the diffraction limit are realised by giving up on the unique identifiability of the different molecules, or cryogenic electron microscopy, where precise projection images are taken, but without knowing the orientation of the object.

With the interdisciplinary character of this workshop, we not only hope to picture the broad range from theory to experiment and applications, but also hope to see the advantages and disadvantages of the different approaches under a wide variety of aspects, which hopefully stimulates ideas on how to transfer and adapt well working methods to other settings.

Outline

The workshop will focus

• in the first week (from Monday, March 15 until Thursday, March 18) on the mathematical problems such as
  • mathematical modelling of the experiments,
  • reconstructions from tomographic data,
  • scattering and inverse scattering problems, and
  • ill-posedness of the inversions and regularisation techniques;
• in the second week (from Tuesday, March 23 until Thursday, March 25) on the experimental challenges in applications such as
  • adaptive optics,
  • elastography,
  • optical coherence tomography,
  • photoacoustic tomography, and
  • superresolution microscopy.

Organization

The workshop is organized within the special research programme SFB F68 “Tomography Across the Scales”.

Due to the current situation, the event will be held via video conference. The talks will be 30 minutes followed by 15 minutes of discussion.

Main organizer and contact person for the workshop: Peter Elbau, peter.elbau@univie.ac.at.

Registration

In case of interest in participating, please write an email to Peter Elbau, peter.elbau@univie.ac.at, containing name, affiliation and email address.

Acknowledgements

This workshop is hosted and supported by the Erwin Schrödinger International Institute for Mathematics and Physics, a programme-oriented research institute for mathematics and physics at the University of Vienna.

It is also partially supported by the Austrian Science Fund FWF within the special research programme SFB F68 “Tomography Across the Scales”.