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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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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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Wolfgang Drexler in SPIE News

Wolfgang Drexler (PI of the sub-project “Multi-Modal Imaging”) discusses about his work on Optical Coherence Tomography and his new role as co-chair of BiOS at SPIE Photonics West, one of the biggest biomedical optics, and imaging conference. Read the whole interview here.
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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.

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Presence in the celebration of University of Innsbruck 350th anniversary

Benedikt Pressl and Mia Kvåle Løvmo, members of the sub-project Imaging of Trapped Particles presented part of their work related to the SFB at the events “Campus Tage Technik” in April and “Fest der Wissenschaft” in June, as part of the 350th anniversary of the University of Innsbruck.

Scientists working at the Campus Technik presented aspects of their research (small presentations and experiments) to more than 1500 pupils. Benedikt was the coordinator and together with Mia, Franziska Strasser, Simon Moser, Alexander Jesacher, Lisa Bodner, Nicola Bregenzer and Martin Bawart gave hands-on experiments and exciting presentations about Optical tweezers and Lasers.