Kristian Bredies // Home
Seite auf deutsch anzeigen

Institut für Mathematik und Wissenschaftliches Rechnen

Univ.-Prof. Dr. Kristian Bredies


Picture of me Department of Mathematics and
Scientific Computing
University of Graz
Heinrichstraße 36
A-8010 Graz

Fon: +43 316 380 5170
Email: Email
Office: Heinrichstraße 36/IV Room 515

Research areas

My research interests include:

  • Mathematical image processing
    • Variational methods
    • Higher-order regularization
    • Measure-based functionals
      (Total (Generalized) Variation, Radon norm)
    • Modelling of image features
  • Inverse Problems
    • Problems with sparsity constraints
    • Primal-dual solution methods
    • Nonlinear gradient descent algorithms
    • Numerical analysis in infinite-dimensional spaces
  • Optimal control problems with partial differential equations
    • Degenerate parabolic equations
    • Identification of diffusion coefficients
    • Optimal control of degeneracies


Ongoing projects

FWF/DFG Next Generation Chemical Exchange Saturation Transfer MRI
Austrian Science Fund (FWF) and German Research Association (DFG) Project I 4870 PhD position available!
ITN TraDE-OPT EU H2020 / Marie Skłodowska-Curie Actions
Innovative Training Network ITN ETN TraDE-Opt

Training Data-Driven Experts in Optimization

Completed projects

IGDK1754 International Research Training Group IGDK Munich — Graz
Optimization and Numerical Analysis for Partial Differential Equations with Nonsmooth Structures
FWF Solving bilinear inverse problems by tensorial lifting
Austrian Science Fund (FWF) Project P 28858
Regularization graphs for variational imaging
Austrian Science Fund (FWF) Project P 29192
Christian Doppler Research Society Mathematical methods for motion-aware medical imaging
Austrian Science Fund (FWF) and Christian Doppler Research Society (CDG) Project PIR 27
BioTechMed Graz Image-based Learning in Predictive Personalized Models of Total Heart Function
BioTechMed Graz Flagship Project “ILearnHeart”