拉斯维加斯赌城

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Mathematical Image Processing

Our primary research focus is on mathematical imaging and optimization. Specifically, we are integrating mathematical modeling with data-driven machine learning strategies, with an emphasis on

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  • Sparse regularization and compressed sensing
  • Machine learning and information geometry
Lehrstuhlinhaberin
Mathematische Bildverarbeitung

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Preprints

Jonas Cassel, Bastian Boll, Stefania Petra, Peter Albers, Christoph Schn?rr

Sigma Flows for Image and Data Labeling and Learning Structured Prediction (2024)

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Bastian Boll, Daniel Gonzales-Alvarado, Stefania Petra, Christoph Schn?rr

Generative Assignment Flows for Representing and Learning Joint Distributions of Discrete Data (2024)

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Bastian Boll, Jonas Cassel, Peter Albers, Stefania Petra, Christoph Schn?rr

A Geometric Embedding Approach to Multiple Games and Multiple Populations (2024)

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Journal articles, book chapters, proceedings

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Raus, M., Elshiaty, Y., Petra, S.

Accelerated Bregman Divergence Optimization with SMART: An Information Geometric Point pf View

J. Appl. Numer. Optim. 6 (2024)

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Alexander Zeilmann, Stefania Petra and Christoph Schn?rr
Learning linearized assignment flows for image labeling
Journal of Mathematical Imaging and Vision?65, 164-184 (2023)
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Bastian Boll, Jonathan Schwarz, Daniel Gonzalez-Alvarado, Dmitrij Sitenko, Stefania Petra and Christoph Schn?rr
Modeling large-scale joint distributions and?inference by?randomized assignment
Lecture Notes in Computer Science?14009, 730-742 (2023)
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Published in: Scale Space and Variational Methods in Computer Vision: 9th International Conference, SSVM 2023, Santa Margherita di Pula, Italy, May 21–25, 2023, proceedings, edited by Luca Calatroni, Marco Donatelli, Serena Morigi, Marco Prato, Matteo Santacesaria

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Sebastian Müller, Stefania Petra and Matthias Zisler
Multilevel geometric optimization for regularised constrained linear inverse problems
Pure and Applied Functional Analysis (PAFA)?8, 855-880 (2023)
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Max Kahl, Stefania Petra, Christoph Schn?rr, Gabriele Steidl and Matthias Zisler
On the?remarkable efficiency of?SMART
Lecture Notes in Computer Science?14009, 418-430 (2023)
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Published in: Scale Space and Variational Methods in Computer Vision: 9th International Conference, SSVM 2023, Santa Margherita di Pula, Italy, May 21–25, 2023, proceedings, edited by Luca Calatroni, Marco Donatelli, Serena Morigi, Marco Prato, Matteo Santacesaria

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Bastian Boll, Alexander Zeilmann, Stefania Petra and Christoph Schn?rr
Selfcertifying classification by linearized deep assignment
PAMM: Proceedings in Applied Mathematics & Mechanics?23, e202200169 (2023)
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Special issue: 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), May 2023

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Jan Plier, Matthias Zisler, Jennifer Furkel, Maximilian Knoll, Alexander Marx, Alena Fischer, Kai Polsterer, Mathias H. Konstandin and Stefania Petra
Learning features via transformer networks for cardiomyocyte profiling
in:?Bildverarbeitung für die Medizin 2022: proceedings, German Workshop on Medical Image Computing, Heidelberg, June 26-28, 2022, ed. by Klaus Maier-Hein, Thomas M. Deserno, Heinz Handels, Andreas Maier, Christoph Palm, Thomas Tolxdorff, 167-172 (Springer Vieweg: Wiesbaden, 2022)
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Jan Plier, Fabrizio Savarino, Michal Ko?vara and Stefania Petra
First-order geometric multilevel optimization for discrete tomography
Lecture Notes in Computer Science?12679, 191-203 (2021)
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Published in: Scale Space and Variational Methods in Computer Vision 8th International Conference, SSVM 2021, Virtual Event, May 16–20, 2021, Proceedings, edited by: Abderrahim Elmoataz, Jalal Fadili, Yvain Quéau, Julien Rabin, Lo?c Simon

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Ruben Hühnerbein, Fabrizio Savarino, Stefania Petra and Christoph Schn?rr
Learning adaptive regularization for image labeling using geometric assignment
Journal of Mathematical Imaging and Vision?63, 186-215 (2021)
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Alexander Zeilmann, Stefania Petra and Christoph Schn?rr
Learning linear assignment flows for image labeling via exponential integration
Lecture Notes in Computer Science?12679, 385-397 (2021)
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Published in: Scale Space and Variational Methods in Computer Vision: 8th International Conference, SSVM 2021, virtual event, May 16–20, 2021, proceedings, edited by Abderrahim Elmoataz, Jalal Fadili, Yvain Quéau, Julien Rabin, Lo?c Simon

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Lukas Kiefer, Stefania Petra, Martin Storath and Andreas Weinmann
Multi-channel Potts-based reconstruction for multi-spectral computed tomography
Inverse Problems?37, 045004 (2021)
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Alexander Zeilmann, Fabrizio Savarino, Stefania Petra and Christoph Schn?rr
Geometric numerical integration of the assignment flow
Inverse Problems?36, 034003 (2020)
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Matthias Zisler, Artjom Zern, Stefania Petra and Christoph Schn?rr
Self-assignment flows for unsupervised data labeling on graphs
SIAM Journal on Imaging Sciences?13, 1113-1156 (2020)
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Yair Censor, Stefania Petra and Christoph Schn?rr
Superiorization vs. accelerated convex optimization: the superiorized / regularized least-squares case
JANO: Journal of Applied and Numerical Optimization?2, 15-62 (2020)
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Artjom Zern, Matthias Zisler, Stefania Petra and Christoph Schn?rr
Unsupervised assignment flow: label learning on feature manifolds by spatially regularized geometric assignment
Journal of Mathematical Imaging and Vision?62, 982-1006 (2020)
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Ruben Hühnerbein, Fabrizio Savarino, Stefania Petra and Christoph Schn?rr
Learning adaptive regularization for image labeling using geometric assignment
Lecture Notes in Computer Science?11603, 393-405 (2019)
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Published at: Scale Space and Variational Methods in Computer Vision: 7th International Conference, SSVM 2019, Hofgeismar, Germany, June 30 – July 4, 2019, proceedings, edited by Jan Lellmann, Martin Burger, Jan Modersitzki

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Jan Kuske and Stefania Petra
Performance bounds for co-/sparse box constrained signal recovery
Analele Universitatii "Ovidius" Constanta - Seria Matematica?27, 79-106 (2019)
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Artjom Zern, Matthias Zisler, Freddie ?str?m, Stefania Petra and Christoph Schn?rr
Unsupervised label learning on manifolds by spatially regularized geometric assignment
Lecture Notes in Computer Science?11269, 698-713 (2019)
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Published in: Pattern Recognition: 40th German Conference, GCPR 2018, Stuttgart, Germany, October 9-12, 2018, proceedings, edited by Thomas Brox, Andrés Bruhn, Mario Fritz

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Matthias Zisler, Artjom Zern, Stefania Petra and Christoph Schn?rr
Unsupervised labeling by geometric and spatially regularized self-assignment
Lecture Notes in Computer Science?11603, 432-444 (2019)
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Published in: Scale Space and Variational Methods in Computer Vision: 7th International Conference, SSVM 2019, Hofgeismar, Germany, June 30 – July 4, 2019, proceedings, edited by Jan Lellmann, Martin Burger, Jan Modersitzki

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Aviv Gibali and Stefania Petra
DC-programming versus ?0-superiorization for discrete tomography
Analele Universitatii "Ovidius" Constanta - Seria Matematica?26, 105-133 (2018)
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Ecaterina Bodnariuc, Stefania Petra, Christoph Schn?rr and Jason Voorneveld
A local spatio-temporal approach to plane wave ultrasound particle image velocimetry
Lecture Notes in Computer Science?10496, 138-149 (2017)
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Published in: Pattern Recognition: 39th German Conference, GCPR 2017, Basel, Switzerland, September 12–15, 2017, proceedings, edited by Volker Roth, Thomas Vetter

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Jan Kuske, Paul Swoboda and Stefania Petra
A novel convex relaxation for non-binary discrete tomography
Lecture Notes in Computer Science?10302, 235-246 (2017)
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Published in: Scale Space and Variational Methods in Computer Vision: 6th International Conference, SSVM 2017, Kolding, Denmark, June 4-8, 2017, proceedings, edited by Fran?ois Lauze, Yiqiu Dong, Anders Bjorholm Dahl

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Robert Dalitz, Stefania Petra and Christoph Schn?rr
Compressed motion sensing
Lecture Notes in Computer Science?10302, 602-613 (2017)
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Published in: Scale Space and Variational Methods in Computer Vision: 6th International Conference, SSVM 2017, Kolding, Denmark, June 4-8, 2017, proceedings, edited by Fran?ois Lauze, Yiqiu Dong, Anders Bjorholm Dahl

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Matthias Zisler, Fabrizio Savarino, Stefania Petra and Christoph Schn?rr
Gradient flows on a Riemannian submanifold for discrete tomography
Lecture Notes in Computer Science?10496, 294-305 (2017)
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Published in: Pattern Recognition: 39th German Conference, GCPR 2017, Basel, Switzerland, September 12–15, 2017, proceedings, edited by Volker Roth, Thomas Vetter

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Vera Trajkovska, Paul Swoboda, Freddie ?str?m and Stefania Petra
Graphical model parameter learning by inverse linear programming
Lecture Notes in Computer Science?10302, 323-334 (2017)
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Published in: Scale Space and Variational Methods in Computer Vision: 6th International Conference, SSVM 2017, Kolding, Denmark, June 4-8, 2017, proceedings, edited by Fran?ois Lauze, Yiqiu Dong, Anders Bjorholm Dahl

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Freddie ?str?m, Stefania Petra, Bernhard Schmitzer and Christoph Schn?rr
Image labeling by assignment
Journal of Mathematical Imaging and Vision?58, 211-238 (2017)
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Matthias Zisler, Freddie ?str?m, Stefania Petra and Christoph Schn?rr
Image reconstruction by multilabel propagation
Lecture Notes in Computer Science?10302, 247-259 (2017)
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Published in: Scale Space and Variational Methods in Computer Vision: 6th International Conference, SSVM 2017, Kolding, Denmark, June 4-8, 2017, proceedings, edited by Fran?ois Lauze, Yiqiu Dong, Anders Bjorholm Dahl

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Lukas Kiefer and Stefania Petra
Performance bounds for cosparse multichannel signal recovery via collaborative-TV
Lecture Notes in Computer Science?10302, 295-307 (2017)
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Published in: Scale Space and Variational Methods in Computer Vision: 6th International Conference, SSVM 2017, Kolding, Denmark, June 4-8, 2017, proceedings, edited by Fran?ois Lauze, Yiqiu Dong, Anders Bjorholm Dahl

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Freddie ?str?m, Stefania Petra, Bernhard Schmitzer and Christoph Schn?rr
A geometric approach to image labeling
Lecture Notes in Computer Science?9909, 139-154 (2016)
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Published in: Computer Vision – ECCV 2016: 14th European Conference, Amsterdam, The Netherlands, October 11-14, 2016, proceedings, Part V, edited by Bastian Leibe, Jiri Matas, Nicu Sebe, Max Welling

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Matthias Zisler, Stefania Petra, Claudius Schn?rr and Christoph Schn?rr
Discrete tomography by continuous multilabeling subject to projection constraints
Lecture Notes in Computer Science?9796, 261-272 (2016)
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Published in: Pattern Recognition: 38th German Conference, GCPR 2016, Hannover, Germany, September 12-15, 2016, proceedings, edited by Bodo Rosenhahn, Bjoern Andres

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Matthias Zisler, Jorg Hendrik Kappes, Claudius Schnorr, Stefania Petra and Christoph Schnorr
Non-binary discrete tomography by continuous non-convex optimization
IEEE Transactions on Computational Imaging?2, 335-347 (2016)
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Ecaterina Bodnariuc, Stefania Petra, Christian Poelma and Christoph Schn?rr
Parametric dictionary-based velocimetry for echo PIV
Lecture Notes in Computer Science?9796, 332-343 (2016)
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Published in: Pattern Recognition: 38th German Conference, GCPR 2016, Hannover, Germany, September 12-15, 2016, proceedings, edited by Bodo Rosenhahn, Bjoern Andres

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Ecaterina Bodnariuc, Martin Schiffner, Stefania Petra and Christoph Schnorr
Plane wave acoustic superposition for fast ultrasound imaging
in:?2016 IEEE International Ultrasonics Symposium (IUS), 18-21 September 2016, Tours, France, 1-4 (IEEE: Piscataway, NJ, 2016)
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Stefania Petra and Constantin Popa
Single projection Kaczmarz extended algorithms
Numerical Algorithms?73, 791-806 (2016)
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An erratum to this article was published at: https://doi.org/10.1007/s11075-017-0390-1

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Freddie Astrom, Stefania Petra, Bernhard Schmitzer and Christoph Schnorr
The assignment manifold: a smooth model for image labeling
in:?2016 IEEE Conference on Computer Vision and Pattern Recognition Workshops (CVPRW), 26 June - 1 July 2016, Las Vegas, NV, USA, ed. by Lourdes Agapito, Tamara Berg, Jana Kosecka, Lihi Zelnik-Manor, 963-971 (IEEE: Piscataway, NJ, 2016)
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Ecaterina Bodnariuc, Arati Gurung, Stefania Petra and Christoph Schn?rr
Adaptive dictionary-based spatio-temporal flow estimation for echo PIV
Lecture Notes in Computer Science?8932, 378-391 (2015)
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Published in: Energy Minimization Methods in Computer Vision and Pattern Recognition: 10th International Conference, EMMCVPR 2015, Hong Kong, China, January 13-16, 2015, proceedings, edited by Xue-Cheng Tai, Egil Bae, Tony F. Chan, Marius Lysaker

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Florian Becker, Stefania Petra and Christoph Schn?rr
Optical flow
in:?Handbook of mathematical methods in imaging, ed. by Otmar Scherzer, 1945-2004 (Springer: New York, NY, 2015)
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Stefania Petra
Randomized sparse block Kaczmarz as randomized dual block-coordinate descent
Analele Universitatii "Ovidius" Constanta - Seria Matematica?23, 129-149 (2015)
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J?rg Hendrik Kappes, Stefania Petra, Christoph Schn?rr and Matthias Zisler
TomoGC: binary tomography by constrained GraphCuts
Lecture Notes in Computer Science?9358, 262-273 (2015)
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Published in: Pattern Recognition: 37th German Conference, GCPR 2015, Aachen, Germany, October 7-10, 2015, proceedings, edited by Juergen Gall, Peter Gehler, Bastian Leibe

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Anschriften und Anfahrt

Postanschrift

Lehrstuhl für Mathematische Bildverarbeitung
Universit?t Augsburg
D-86135 Augsburg
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Hausanschrift

Lehrstuhl für Mathematische Bildverarbeitung
Universit?t Augsburg
Universit?tsstrasse?14
86159 Augsburg
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Die Büros des Lehrstuhls befinden sich im Geb?ude L1
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