Mission Statement

The core research topics of the Computational Science Center are Inverse Problems and Image Analysis. The common thread among these areas is a canonical problem of recovery of an object (function or image) from partial or indirect information. Particular research topics are:


Current Open Position (pre-doc)

We're currently offering a PhD position within the framework of Vienna School of Mathematics on the topic of Optimal Control of Waves in Dead Water. (→ detailed information)

Handbook of Mathematical Methods in Imaging, Chapter Downloads

We are proud to report that since the online publication of the Handbook of Mathematical Methods in Imaging (Second Edition) in 2015 there have been a total of 175366 chapter downloads!

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).

Otmar Scherzer, 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.
Studyly: App to motivate more young people to study maths
Our master student Leon Frischauf has started the e-learning platform Studyly, encouraging students from all over Austria to study maths online. Currently Studyly has been used by over 11 000 students for the preparation for the Matura (Austrian final exams) with the goal to increase young peoples interest in mathematics. See also the newspaper article in the "Kurier" (in German).
Dissertation of Melanie Melching
Congratulations to Melanie Melching, who successfully defended her dissertation "Regularization with integral representations of Sobolev norms of manifold-valued functions"!
Online seminar RICAM - Fudan
We're inviting you to join the "Online seminar RICAM - Fudan" on June, 10th with Shuai Lu as speaker – "When randomness meets inverse problems" – and Andrea Aspri – "Data driven regularization by projection". Start is 14:00 in Vienna Time.
Dissertation of Alexander Beigl
Congratulations to Alexander Beigl, who successfully defended his dissertation "An Optimal Control Approach to Photoacoustic Tomography and a New Approach for Quantitative Reconstruction"!
Peter Elbau Receives the EAIP Young Scientist Award

Every two years the Eurasian Association on Inverse Problems (EAIP) awards scientists under the age of fourty for particular merits in inverse problems analysis and its applications.

We are proud to announce Peter Elbau has been selected with Joonas Ilmavirta to receive this award in 2020!

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 opportunity 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, from our group, presented the fundamentals of the Radon transform, its properties and application to tomography. The students had the opportunity to make 3D origami objects, image them with a system imitating an optical tomographic setup and then obtain the reconstructed pictures.

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

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Computational Science Center
Faculty of Mathematics
University of Vienna

Oskar-Morgenstern-Platz 1
1090 Wien
T: +43-1-4277-55771