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Kristian Bredies

Kristian Bredies

D-Index & Metrics

Mathematics

D-Index
39
Citations
7193
World Ranking
2171
National Ranking
27

Overview

Kristian Bredies is affiliated with the University of Graz in Austria and has a substantial body of research primarily focused on mathematics, computer science, and medicine. Their work contributes to several subfields including Radiology, Nuclear Medicine and Imaging, Mathematical Physics, Computational Theory and Mathematics, Computational Mechanics, and Computer Vision and Pattern Recognition.

Their research encompasses a range of topics such as Numerical Methods in Inverse Problems, Sparse and Compressive Sensing Techniques, Optimization and Variational Analysis, Medical Imaging Techniques and Applications, Advanced MRI Techniques and Applications, Matrix Theory and Algorithms, and Advanced Optimization Algorithms Research.

Recent publications by Kristian Bredies include:

  • "Inverse problems with second-order Total Generalized Variation constraints," 2020, arXiv (Cornell University)
  • "Inverse problems with second-order Total Generalized Variation constraints," 2020, arXiv (Cornell University)
  • "A Generalized Conditional Gradient Method for Dynamic Inverse Problems with Optimal Transport Regularization," 2022, Foundations of Computational Mathematics
  • "Degenerate Preconditioned Proximal Point Algorithms," 2022, SIAM Journal on Optimization

These works reflect ongoing interests in inverse problems and optimization algorithms within computational mathematics and imaging techniques.

Kristian Bredies frequently publishes in venues such as:

  • arXiv (Cornell University)
  • Proceedings on CD-ROM - International Society for Magnetic Resonance in Medicine. Scientific Meeting and Exhibition
  • SIAM Journal on Optimization
  • Magnetic Resonance in Medicine
  • SIAM Journal on Numerical Analysis

Their collaborative network includes several frequent co-authors, notably:

  • Marcello Carioni
  • Enis Chenchene
  • Silvio Fanzon
  • Emanuele Naldi
  • Martin Höller

The diversity of their co-authors and publication venues indicates interdisciplinary engagement across mathematics, computational methods, and medical imaging fields. Kristian Bredies' publication record reveals contributions that align with contemporary computational challenges in inverse problems and optimization, leveraging mathematical techniques applicable to imaging and signal processing domains.

Best Publications

  • Total Generalized Variation

    Kristian Bredies;Karl Kunisch;Thomas Pock

  • Second order total generalized variation (TGV) for MRI

    Florian Knoll;Kristian Bredies;Thomas Pock;Rudolf Stollberger

  • Linear Convergence of Iterative Soft-Thresholding

    Kristian Bredies;Dirk A. Lorenz

  • Fast quantitative susceptibility mapping using 3D EPI and total generalized variation

    Christian Langkammer;Christian Langkammer;Kristian Bredies;Benedikt A. Poser;Markus Barth

  • Inverse problems in spaces of measures

    Kristian Bredies;Hanna Katriina Pikkarainen

  • Quantitative susceptibility mapping: Report from the 2016 reconstruction challenge.

    Christian Langkammer;Ferdinand Schweser;Karin Shmueli;Christian Kames

  • Iterated Hard Shrinkage for Minimization Problems with Sparsity Constraints

    Kristian Bredies;Dirk A. Lorenz

  • A generalized conditional gradient method and its connection to an iterative shrinkage method

    Kristian Bredies;Dirk A. Lorenz;Peter Maass

  • An illustrated comparison of processing methods for MR phase imaging and QSM: combining array coil signals and phase unwrapping.

    Simon Daniel Robinson;Kristian Bredies;Diana Khabipova;Diana Khabipova;Barbara Dymerska

  • Non-local Total Generalized Variation for Optical Flow Estimation

    René Ranftl;Kristian Bredies;Thomas Pock;Thomas Pock

  • Total Generalized Variation in Diffusion Tensor Imaging

    Tuomo Valkonen;Kristian Bredies;Florian Knoll

  • Parallel Imaging with Nonlinear Reconstruction using Variational Penalties

    Florian Knoll;Christian Clason;Kristian Bredies;Martin Uecker

  • Joint MR-PET Reconstruction Using a Multi-Channel Image Regularizer

    Florian Knoll;Martin Holler;Thomas Koesters;Ricardo Otazo

  • Recovering Piecewise Smooth Multichannel Images by Minimization of Convex Functionals with Total Generalized Variation Penalty

    Kristian Bredies

  • Sparsity of solutions for variational inverse problems with finite-dimensional data

    Kristian Bredies;Marcello Carioni

  • Regularization with non-convex separable constraints

    Kristian Bredies;Dirk A Lorenz

  • Spatially dependent regularization parameter selection in total generalized variation models for image restoration

    Kristian Bredies;Yiqiu Dong;Michael Hintermüller

  • Minimization of Non-smooth, Non-convex Functionals by Iterative Thresholding

    Kristian Bredies;Dirk A. Lorenz;Stefan Reiterer

  • Regularization of linear inverse problems with total generalized variation

    Kristian Bredies;Martin Holler

  • A generalized conditional gradient method for nonlinear operator equations with sparsity constraints

    Thomas Bonesky;Kristian Bredies;Dirk A Lorenz;Peter Maass

  • A Total Variation-Based JPEG Decompression Model

    K. Bredies;M. Holler

Frequent Co-Authors

Florian Knoll
Florian Knoll University of Erlangen-Nuremberg
Thomas Pock
Thomas Pock Graz University of Technology
Peter Maass
Peter Maass University of Bremen
Arjan Kuijper
Arjan Kuijper Fraunhofer Society
Horst Bischof
Horst Bischof Graz University of Technology
Karl Kunisch
Karl Kunisch University of Graz
Daniel K. Sodickson
Daniel K. Sodickson New York University
Berkin Bilgic
Berkin Bilgic Harvard University
Karl Koschutnig
Karl Koschutnig University of Graz
Danny J.J. Wang
Danny J.J. Wang University of California, Los Angeles

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