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SFB goes online!

The 5th Internal Meeting and the 4th Member Workshop took place online on September 1st and 2nd, respectively. After the cancellation of the previous meetings due to Covid-19, we managed to meet after a long time (at least online).

In the internal meeting, we had the opportunity to listen to interesting talks from external members of the SFB and participate in special sessions of the collaborating sub-projects. The member workshop consisted of member talks and talks from associated members with potential application to the scope of the SFB. The members elect Simon Hubmer and Ekaterina Sherina as the new member speaker and vice-speaker, respectively.

Hopefully we can meet in person again in Bad Mitterndorf at the end of November.

  • Group photo.
  • Screenshot from R. Leitgeb’s talk.
  • Screenshot from M. Schneider’s talk.
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Cancer diagnosis with mathematics

Otmar Scherzer presented at the Research Newsletter (July/August 2020) of the University of Vienna how mathematics can be used to improve cancer diagnosis. This work is part of the SFB research project “Tomography Across the Scales”. The considered methods have applications from astrophysics to molecular biology.

The main idea (also called inverse problem) is to use tomographic measurements of a biological tissue in order to recover its properties (distinguish between healthy and diseased parts) without damaging it. The created algorithms are tested with simulated and experimental data and the results are promising.

The full article (in German) can be found here.

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Otmar Scherzer is the new Editor-in-Chief of the Journal Inverse Problems

Otmar Scherzer is the new Editor-in-Chief of the journal Inverse Problems. He is replacing Professor Simon Arridge (University College London), who has been in this position since 2015. Otmar Scherzer was a member of the Editorial Board of Inverse Problems for a long time, he has acted as Guest Editor on several special issues and he has also published many of his works in this journal.
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Winter school “Applied mathematics: as useful as exciting”

Last week (02.03 – 06.03) took place in Kefermarkt the first winter school of the Austrian Study Foundation (Österreichische Studienstiftung). That was the fourth seminar organized by the Austrian Academy of Sciences (Österreichische Akademie der Wissenschaften) with the title “Applied mathematics: as useful as exciting”.

Selected pupils from schools around Austria had the possibility to learn and develop themselves applications of mathematics in everyday life. The four topics where: Financial mathematics, mathematical methods in Tomography, graph theory and mathematical modeling of sound.

Axel Kittenberger and Leonidas Mindrinos (University of Vienna) presented the fundamentals of the Radon transform, its properties and application to tomography. The students made 3D origami objects, image them with a system imitating an optical tomographic setup and then obtain the reconstructed pictures. Günter Auzinger (JKU Linz) addressed also the mathematics of sound propagation. The pupils had the opportunity to answer questions like: What makes the pitch of a musical instrument, what makes the sound and what does this mean for the human voice.

  • The Weinberg castle.
  • The students presenting what they learned.
  • The team “Radon” and their origami figures.
  • Some of the origami reconstructions.

–> click here for an online raytracer of a volumetric reconstruction

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Front cover picture in “Inverse Problems”

A figure from the research paper “Preconditioning Inverse Problems for Hyperbolic Equations with Applications to Photoacoustic Tomography” by Alexander Beigl, Otmar Scherzer, Jarle Sogn (JKU, Linz) and Walter Zulehner (JKU, Linz) got chosen for the front cover of the International Journal “Inverse Problems”. The picture appearing at the Volume 36, Number 1 of the journal presents initial source reconstructions from Photoacoustic Tomography data.
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Third internal meeting is finished! Report and pictures

The Third Internal Meeting of the SFB Project “Tomography Across the Scales” took place in Obergurgl (Tirol) from December 1 to 5, 2019. More than 30 researchers participated giving interesting talks and with their fruitful discussions helped the members of the SFB to continue their research in the right direction. Along with the 3rd meeting we had the PI and member meetings where we discussed the progress of the common projects and the organization of the future events. Continue reading “Third internal meeting is finished! Report and pictures”

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Otmar Scherzer in ECMI Annual Report

Otmar Scherzer gave an interview to the ECMI Annual Report 2018: “Mathematics with industry: driving innovation”. He describes how the field of industrial mathematics evolved over the last years and his recent research projects, focusing on the SFB project “Tomography across the scales”. The Report is edited by A. Münch (University of Oxford) and the interview was conducted by L. Mindrinos (RICAM, Linz). You can read the whole report here.