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Books and Theses
- 2011
[b1]Kristian Bredies, Dirk A. Lorenz:
Mathematische Bildverarbeitung - Einführung in Grundlagen und moderne Theorie. Vieweg+Teubner 2011, ISBN 978-3-8348-1037-3, pp. I-X, 1-445
Journal Articles
- 2024
- [j31]Kristian Bredies
, Marcello Carioni, Silvio Fanzon, Daniel Walter:
Asymptotic linear convergence of fully-corrective generalized conditional gradient methods. Math. Program. 205(1): 135-202 (2024) - [j30]Kristian Bredies, Enis Chenchene, Emanuele Naldi:
Graph and Distributed Extensions of the Douglas-Rachford Method. SIAM J. Optim. 34(2): 1569-1594 (2024) - 2023
- [j29]Kristian Bredies, Marcello Carioni, Silvio Fanzon, Francisco Romero:
A Generalized Conditional Gradient Method for Dynamic Inverse Problems with Optimal Transport Regularization. Found. Comput. Math. 23(3): 833-898 (2023) - 2022
- [j28]Kristian Bredies, Enis Chenchene, Dirk A. Lorenz, Emanuele Naldi:
Degenerate Preconditioned Proximal Point Algorithms. SIAM J. Optim. 32(3): 2376-2401 (2022) - 2021
- [j27]Robert Beinert, Kristian Bredies:
Tensor-Free Proximal Methods for Lifted Bilinear/Quadratic Inverse Problems with Applications to Phase Retrieval. Found. Comput. Math. 21(5): 1181-1232 (2021) - [j26]Oliver Maier, Stefan M. Spann, Daniela Pinter, Thomas Gattringer, Nicole Hinteregger, Gerhard G. Thallinger, Christian Enzinger, Josef Pfeuffer, Kristian Bredies, Rudolf Stollberger:
Non-linear fitting with joint spatial regularization in arterial spin labeling. Medical Image Anal. 71: 102067 (2021) - [j25]Kristian Bredies, Richard Huber:
Convergence Analysis of Pixel-Driven Radon and Fanbeam Transforms. SIAM J. Numer. Anal. 59(3): 1399-1432 (2021) - 2020
- [j24]Stefan M. Spann, Xingfeng Shao, Danny J. J. Wang, Christoph S. Aigner, Matthias Schloegl, Kristian Bredies, Rudolf Stollberger:
Robust single-shot acquisition of high resolution whole brain ASL images by combining time-dependent 2D CAPIRINHA sampling with spatio-temporal TGV reconstruction. NeuroImage 206 (2020) - 2018
- [j23]Kristian Bredies, Martin Holler, Martin Storath, Andreas Weinmann:
Total Generalized Variation for Manifold-Valued Data. SIAM J. Imaging Sci. 11(3): 1785-1848 (2018) - [j22]Yiming Gao, Kristian Bredies:
Infimal Convolution of Oscillation Total Generalized Variation for the Recovery of Images with Structured Texture. SIAM J. Imaging Sci. 11(3): 2021-2063 (2018) - [j21]Georg Schramm, Martin Holler, Ahmadreza Rezaei, Kathleen Vunckx, Florian Knoll, Kristian Bredies, Fernando E. Boada, Johan Nuyts:
Evaluation of Parallel Level Sets and Bowsher's Method as Segmentation-Free Anatomical Priors for Time-of-Flight PET Reconstruction. IEEE Trans. Medical Imaging 37(2): 590-603 (2018) - 2017
- [j20]Kristian Bredies, Hongpeng Sun:
A Proximal Point Analysis of the Preconditioned Alternating Direction Method of Multipliers. J. Optim. Theory Appl. 173(3): 878-907 (2017) - [j19]Stefan M. Spann, Kamil S. Kazimierski, Christoph S. Aigner, Markus Kraiger, Kristian Bredies, Rudolf Stollberger:
Spatio-temporal TGV denoising for ASL perfusion imaging. NeuroImage 157: 81-96 (2017) - [j18]Florian Knoll, Martin Holler, Thomas Kösters, Ricardo Otazo, Kristian Bredies, Daniel K. Sodickson:
Joint MR-PET Reconstruction Using a Multi-Channel Image Regularizer. IEEE Trans. Medical Imaging 36(1): 1-16 (2017) - 2015
- [j17]Arjan Kuijper, Thomas Pock, Kristian Bredies, Horst Bischof:
Guest Editorial: Scale Space and Variational Methods. J. Math. Imaging Vis. 52(1): 1-2 (2015) - [j16]Kristian Bredies, Hongpeng Sun:
Preconditioned Douglas-Rachford Algorithms for TV- and TGV-Regularized Variational Imaging Problems. J. Math. Imaging Vis. 52(3): 317-344 (2015) - [j15]Kristian Bredies, Dirk A. Lorenz, Stefan Reiterer:
Minimization of Non-smooth, Non-convex Functionals by Iterative Thresholding. J. Optim. Theory Appl. 165(1): 78-112 (2015) - [j14]Christian Langkammer, Kristian Bredies, Benedikt A. Poser, Markus Barth, Gernot Reishofer, Audrey Peiwen Fan, Berkin Bilgic, Franz Fazekas, Caterina Mainero, Stefan Ropele:
Fast quantitative susceptibility mapping using 3D EPI and total generalized variation. NeuroImage 111: 622-630 (2015) - [j13]Kristian Bredies, Martin Holler:
A TGV-Based Framework for Variational Image Decompression, Zooming, and Reconstruction. Part I: Analytics. SIAM J. Imaging Sci. 8(4): 2814-2850 (2015) - [j12]Kristian Bredies, Martin Holler:
A TGV-Based Framework for Variational Image Decompression, Zooming, and Reconstruction. Part II: Numerics. SIAM J. Imaging Sci. 8(4): 2851-2886 (2015) - [j11]Kristian Bredies, Thomas Pock, Benedikt Wirth:
A Convex, Lower Semicontinuous Approximation of Euler's Elastica Energy. SIAM J. Math. Anal. 47(1): 566-613 (2015) - [j10]Kristian Bredies, Hongpeng Sun:
Preconditioned Douglas-Rachford Splitting Methods for Convex-concave Saddle-point Problems. SIAM J. Numer. Anal. 53(1): 421-444 (2015) - 2013
- [j9]Manuel Freiberger, Florian Knoll, Kristian Bredies, Hermann Scharfetter, Rudolf Stollberger:
The Agile Library for Biomedical Image Reconstruction Using GPU Acceleration. Comput. Sci. Eng. 15(1): 34-44 (2013) - [j8]Kristian Bredies, Yiqiu Dong, Michael Hintermüller:
Spatially dependent regularization parameter selection in total generalized variation models for image restoration. Int. J. Comput. Math. 90(1): 109-123 (2013) - [j7]Kristian Bredies, Thomas Pock, Benedikt Wirth:
Convex Relaxation of a Class of Vertex Penalizing Functionals. J. Math. Imaging Vis. 47(3): 278-302 (2013) - [j6]Tuomo Valkonen, Kristian Bredies, Florian Knoll:
Total Generalized Variation in Diffusion Tensor Imaging. SIAM J. Imaging Sci. 6(1): 487-525 (2013) - 2012
- [j5]Kristian Bredies, Martin Holler:
A Total Variation-Based JPEG Decompression Model. SIAM J. Imaging Sci. 5(1): 366-393 (2012) - 2011
- [j4]Kristian Bredies, Heimo Wolinski:
An active-contour based algorithm for the automated segmentation of dense yeast populations on transmission microscopy images. Comput. Vis. Sci. 14(7): 341-352 (2011) - 2010
- [j3]Kristian Bredies, Karl Kunisch, Thomas Pock:
Total Generalized Variation. SIAM J. Imaging Sci. 3(3): 492-526 (2010) - 2009
- [j2]Kristian Bredies, Dirk A. Lorenz, Peter Maass:
A generalized conditional gradient method and its connection to an iterative shrinkage method. Comput. Optim. Appl. 42(2): 173-193 (2009) - 2008
- [j1]Kristian Bredies, Dirk A. Lorenz:
Iterated Hard Shrinkage for Minimization Problems with Sparsity Constraints. SIAM J. Sci. Comput. 30(2): 657-683 (2008)
Conference and Workshop Papers
- 2023
- [c8]Enis Chenchene, Alireza Hosseini, Kristian Bredies:
A hybrid proximal generalized conditional gradient method and application to total variation parameter learning. ECC 2023: 1-6 - 2015
- [c7]Kristian Bredies, Martin Holler:
Artifact-Free Variational MPEG Decompression. SSVM 2015: 216-228 - 2014
- [c6]René Ranftl, Kristian Bredies, Thomas Pock:
Non-local Total Generalized Variation for Optical Flow Estimation. ECCV (1) 2014: 439-454 - 2013
- [c5]Kristian Bredies, Martin Holler:
A TGV Regularized Wavelet Based Zooming Model. SSVM 2013: 149-160 - 2012
- [c4]Kristian Bredies, Martin Holler:
Artifact-free JPEG Decompression with Total Generalized Variation. VISAPP (1) 2012: 12-21 - [c3]Kristian Bredies, Martin Holler:
Artifact-Free Decompression and Zooming of JPEG Compressed Images with Total Generalized Variation. VISIGRAPP (Selected Papers) 2012: 242-258 - 2011
- [c2]Kristian Bredies:
Recovering Piecewise Smooth Multichannel Images by Minimization of Convex Functionals with Total Generalized Variation Penalty. Efficient Algorithms for Global Optimization Methods in Computer Vision 2011: 44-77 - 2006
- [c1]Kristian Bredies, Dirk A. Lorenz, Peter Maass:
An Optimal Control Problem in Medical Image Processing. Systems, Control, Modeling and Optimization 2006: 249-259
Editorship
- 2013
- [e2]Kristian Bredies, Christian Clason, Karl Kunisch, Gregory von Winckel:
Control and Optimization with PDE Constraints. International Series of Numerical Mathematics 164, Birkhäuser 2013, ISBN 978-3-0348-0630-5 [contents] - [e1]Arjan Kuijper, Kristian Bredies, Thomas Pock, Horst Bischof:
Scale Space and Variational Methods in Computer Vision - 4th International Conference, SSVM 2013, Schloss Seggau, Leibnitz, Austria, June 2-6, 2013. Proceedings. Lecture Notes in Computer Science 7893, Springer 2013, ISBN 978-3-642-38266-6 [contents]
Informal and Other Publications
- 2022
- [i9]Alireza Hosseini, Kristian Bredies:
A Second-Order TGV Discretization with Some Invariance Properties. CoRR abs/2209.11450 (2022) - [i8]Kristian Bredies, Enis Chenchene, Emanuele Naldi:
Graph and distributed extensions of the Douglas-Rachford method. CoRR abs/2211.04782 (2022) - [i7]Yakun Dong, Kristian Bredies, Hongpeng Sun:
A stochastic preconditioned Douglas-Rachford splitting method for saddle-point problems. CoRR abs/2212.13001 (2022) - 2020
- [i6]Kristian Bredies, Richard Huber:
Convergence analysis of pixel-driven Radon and fanbeam transforms. CoRR abs/2004.02027 (2020) - [i5]Kristian Bredies, Tuomo Valkonen:
Inverse problems with second-order Total Generalized Variation constraints. CoRR abs/2005.09725 (2020) - [i4]Kristian Bredies, Marcello Carioni, Silvio Fanzon, Francisco Romero:
A generalized conditional gradient method for dynamic inverse problems with optimal transport regularization. CoRR abs/2012.11706 (2020) - 2019
- [i3]Robert Beinert, Kristian Bredies:
Tensor-Free Proximal Methods for Lifted Bilinear/Quadratic Inverse Problems with Applications to Phase Retrieval. CoRR abs/1907.04875 (2019) - [i2]Kristian Bredies, Martin Holler:
Higher-order total variation approaches and generalisations. CoRR abs/1912.01587 (2019) - 2014
- [i1]Clemens Schiffer, Kristian Bredies:
Sinogram constrained TV-minimization for metal artifact reduction in CT. CoRR abs/1404.6691 (2014)
Coauthor Index
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