Kristian Bredies

Professor of Applied Mathematics

Univ.-Prof. Dr.

Kristian Bredies

Department of Mathematics and Scientific Computing
University of Graz

kristian.bredies(at)uni-graz.at

+43 316 380 - 5170

Heinrichstraße 36/IV Room 515, 8010 Graz

ORCID: 0000-0001-7140-043X

Research group

PhD position available!

At the Department of Mathematics and Scientific Computing at the University of Graz, I lead the research group Inverse Problems and Mathematical Imaging. The group is concerned with the development and analysis of mathematical methods for solving inverse problems, especially in mathematical image processing and medical imaging such as MRI and CT. It works on theory, algorithms and practical applications and cooperates internationally in interdisciplinary projects.

Research areas

Mathematical image processing: Variational methods, multi-order regularization, applications to medical imaging
Inverse problems: Sparsity and Radon-measure constraints, dynamic and optimal-transport-based approaches, computational solution
Data-driven methods: Operator and parameter learning, Plug-and-Play regularization, performance guarantees
First-order optimization algorithms: Preconditioning techniques, degenerate and accelerated methods, applications to variational imaging problems

Projects

Ongoing projects

	Mathematics of Reconstruction in Dynamical and Active Models (MR-DYNAMO) Austrian Science Fund (FWF) Special Research Area (SFB) F 100800 (2025–2029)
	Next Generation Chemical Exchange Saturation Transfer MRI Austrian Science Fund (FWF) and German Research Association (DFG) Project I 4870 (2020–2025)

Completed projects

	EU H2020 / Marie Skłodowska-Curie Actions Innovative Training Network ITN ETN TraDE-Opt Training Data-Driven Experts in Optimization (2020–2024)
	Mathematical methods for motion-aware medical imaging Austrian Science Fund (FWF) and Christian Doppler Research Society (CDG) Project PIR 27 (2017–2020)
	Image-based Learning in Predictive Personalized Models of Total Heart Function BioTechMed Graz Flagship Project “ILearnHeart” (2017–2019)
	Solving bilinear inverse problems by tensorial lifting Austrian Science Fund (FWF) Project P 28858 (2016–2021)
	Regularization graphs for variational imaging Austrian Science Fund (FWF) Project P 29192 (2016–2021)
	International Research Training Group IGDK Munich — Graz Optimization and Numerical Analysis for Partial Differential Equations with Nonsmooth Structures (2012–2021)