Mathematische Bildverarbeitung

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

 

  • 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 Schnörr

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

 

Bastian Boll, Daniel Gonzales-Alvarado, Stefania Petra, Christoph Schnörr

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

 

Bastian Boll, Jonas Cassel, Peter Albers, Stefania Petra, Christoph Schnörr

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

 

Journal articles, book chapters, proceedings

 

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

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

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

 

Alexander Zeilmann, Stefania Petra and Christoph Schnörr
Learning linearized assignment flows for image labeling
Journal of Mathematical Imaging and Vision 65, 164-184 (2023)
PDF BibTeX | RIS | DOI

 

Bastian Boll, Jonathan Schwarz, Daniel Gonzalez-Alvarado, Dmitrij Sitenko, Stefania Petra and Christoph Schnörr
Modeling large-scale joint distributions and inference by randomized assignment
Lecture Notes in Computer Science 14009, 730-742 (2023)
BibTeX | RIS | DOI

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

 

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)
BibTeX | RIS | URL

 

Max Kahl, Stefania Petra, Christoph Schnörr, Gabriele Steidl and Matthias Zisler
On the remarkable efficiency of SMART
Lecture Notes in Computer Science 14009, 418-430 (2023)
BibTeX | RIS | DOI

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

 

Bastian Boll, Alexander Zeilmann, Stefania Petra and Christoph Schnörr
Selfcertifying classification by linearized deep assignment
PAMM: Proceedings in Applied Mathematics & Mechanics 23, e202200169 (2023)
PDF BibTeX | RIS | DOI

Special issue: 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), May 2023

 

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)
BibTeX | RIS | DOI

 

Jan Plier, Fabrizio Savarino, Michal Kočvara and Stefania Petra
First-order geometric multilevel optimization for discrete tomography
Lecture Notes in Computer Science 12679, 191-203 (2021)
BibTeX | RIS | DOI

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, Loïc Simon

 

Ruben Hühnerbein, Fabrizio Savarino, Stefania Petra and Christoph Schnörr
Learning adaptive regularization for image labeling using geometric assignment
Journal of Mathematical Imaging and Vision 63, 186-215 (2021)
BibTeX | RIS | DOI

 

Alexander Zeilmann, Stefania Petra and Christoph Schnörr
Learning linear assignment flows for image labeling via exponential integration
Lecture Notes in Computer Science 12679, 385-397 (2021)
BibTeX | RIS | DOI

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, Loïc Simon

 

Lukas Kiefer, Stefania Petra, Martin Storath and Andreas Weinmann
Multi-channel Potts-based reconstruction for multi-spectral computed tomography
Inverse Problems 37, 045004 (2021)
BibTeX | RIS | DOI

 

Alexander Zeilmann, Fabrizio Savarino, Stefania Petra and Christoph Schnörr
Geometric numerical integration of the assignment flow
Inverse Problems 36, 034003 (2020)
BibTeX | RIS | DOI

 

Matthias Zisler, Artjom Zern, Stefania Petra and Christoph Schnörr
Self-assignment flows for unsupervised data labeling on graphs
SIAM Journal on Imaging Sciences 13, 1113-1156 (2020)
BibTeX | RIS | DOI

 

Yair Censor, Stefania Petra and Christoph Schnörr
Superiorization vs. accelerated convex optimization: the superiorized / regularized least-squares case
JANO: Journal of Applied and Numerical Optimization 2, 15-62 (2020)
BibTeX | RIS | DOI

 

Artjom Zern, Matthias Zisler, Stefania Petra and Christoph Schnörr
Unsupervised assignment flow: label learning on feature manifolds by spatially regularized geometric assignment
Journal of Mathematical Imaging and Vision 62, 982-1006 (2020)
BibTeX | RIS | DOI

 

Ruben Hühnerbein, Fabrizio Savarino, Stefania Petra and Christoph Schnörr
Learning adaptive regularization for image labeling using geometric assignment
Lecture Notes in Computer Science 11603, 393-405 (2019)
BibTeX | RIS | DOI

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

 

Jan Kuske and Stefania Petra
Performance bounds for co-/sparse box constrained signal recovery
Analele Universitatii "Ovidius" Constanta - Seria Matematica 27, 79-106 (2019)
PDF BibTeX | RIS | DOI

 

Artjom Zern, Matthias Zisler, Freddie Åström, Stefania Petra and Christoph Schnörr
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

 

Matthias Zisler, Artjom Zern, Stefania Petra and Christoph Schnörr
Unsupervised labeling by geometric and spatially regularized self-assignment
Lecture Notes in Computer Science 11603, 432-444 (2019)
BibTeX | RIS | DOI

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

 

Aviv Gibali and Stefania Petra
DC-programming versus ℓ0-superiorization for discrete tomography
Analele Universitatii "Ovidius" Constanta - Seria Matematica 26, 105-133 (2018)
PDF BibTeX | RIS | DOI

 

Ecaterina Bodnariuc, Stefania Petra, Christoph Schnörr and Jason Voorneveld
A local spatio-temporal approach to plane wave ultrasound particle image velocimetry
Lecture Notes in Computer Science 10496, 138-149 (2017)
BibTeX | RIS | DOI

Published in: Pattern Recognition: 39th German Conference, GCPR 2017, Basel, Switzerland, September 12–15, 2017, proceedings, edited by Volker Roth, Thomas Vetter

 

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)
BibTeX | RIS | DOI

Published in: Scale Space and Variational Methods in Computer Vision: 6th International Conference, SSVM 2017, Kolding, Denmark, June 4-8, 2017, proceedings, edited by François Lauze, Yiqiu Dong, Anders Bjorholm Dahl

 

Robert Dalitz, Stefania Petra and Christoph Schnörr
Compressed motion sensing
Lecture Notes in Computer Science 10302, 602-613 (2017)
BibTeX | RIS | DOI

Published in: Scale Space and Variational Methods in Computer Vision: 6th International Conference, SSVM 2017, Kolding, Denmark, June 4-8, 2017, proceedings, edited by François Lauze, Yiqiu Dong, Anders Bjorholm Dahl

 

Matthias Zisler, Fabrizio Savarino, Stefania Petra and Christoph Schnörr
Gradient flows on a Riemannian submanifold for discrete tomography
Lecture Notes in Computer Science 10496, 294-305 (2017)
BibTeX | RIS | DOI

Published in: Pattern Recognition: 39th German Conference, GCPR 2017, Basel, Switzerland, September 12–15, 2017, proceedings, edited by Volker Roth, Thomas Vetter

 

Vera Trajkovska, Paul Swoboda, Freddie Åström and Stefania Petra
Graphical model parameter learning by inverse linear programming
Lecture Notes in Computer Science 10302, 323-334 (2017)
BibTeX | RIS | DOI

Published in: Scale Space and Variational Methods in Computer Vision: 6th International Conference, SSVM 2017, Kolding, Denmark, June 4-8, 2017, proceedings, edited by François Lauze, Yiqiu Dong, Anders Bjorholm Dahl

 

Freddie Åström, Stefania Petra, Bernhard Schmitzer and Christoph Schnörr
Image labeling by assignment
Journal of Mathematical Imaging and Vision 58, 211-238 (2017)
BibTeX | RIS | DOI

 

Matthias Zisler, Freddie Åström, Stefania Petra and Christoph Schnörr
Image reconstruction by multilabel propagation
Lecture Notes in Computer Science 10302, 247-259 (2017)
BibTeX | RIS | DOI

Published in: Scale Space and Variational Methods in Computer Vision: 6th International Conference, SSVM 2017, Kolding, Denmark, June 4-8, 2017, proceedings, edited by François Lauze, Yiqiu Dong, Anders Bjorholm Dahl

 

Lukas Kiefer and Stefania Petra
Performance bounds for cosparse multichannel signal recovery via collaborative-TV
Lecture Notes in Computer Science 10302, 295-307 (2017)
BibTeX | RIS | DOI

Published in: Scale Space and Variational Methods in Computer Vision: 6th International Conference, SSVM 2017, Kolding, Denmark, June 4-8, 2017, proceedings, edited by François Lauze, Yiqiu Dong, Anders Bjorholm Dahl

 

Freddie Åström, Stefania Petra, Bernhard Schmitzer and Christoph Schnörr
A geometric approach to image labeling
Lecture Notes in Computer Science 9909, 139-154 (2016)
BibTeX | RIS | DOI

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

 

Matthias Zisler, Stefania Petra, Claudius Schnörr and Christoph Schnörr
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

 

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 Schnörr
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

 

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

 

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)
BibTeX | RIS | DOI

 

Ecaterina Bodnariuc, Arati Gurung, Stefania Petra and Christoph Schnörr
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

 

Florian Becker, Stefania Petra and Christoph Schnörr
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)
PDF BibTeX | RIS | DOI

 

Jörg Hendrik Kappes, Stefania Petra, Christoph Schnörr 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

 

Anschriften und Anfahrt

Postanschrift

Lehrstuhl für Mathematische Bildverarbeitung
Universität Augsburg
D-86135 Augsburg
 
 

Hausanschrift

Lehrstuhl für Mathematische Bildverarbeitung
Universität Augsburg
Universitätsstrasse 14
86159 Augsburg
 
Die Büros des Lehrstuhls befinden sich im Gebäude L1
 

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