Dr. Robert Winkler
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Kollegiengebäude Mathematik (20.30)
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My PhD thesis A model-aware inexact Newton scheme for electrical impedance tomography is available in the KIT library under
http://primo.bibliothek.kit.edu/primo_library/libweb/action/dlDisplay.do?vid=KIT&docId=KITSRCE1000054135
A set of standalone MATLAB scripts of the MANTIS algorithm, which can be used to reproduce most of my numerical examples, can be downloaded under mantis.zip.
Some example reconstructions are given in the files Example A, B, C, D and F. Please consider the license information provided in the file LICENSE.TXT. If you use the code for a publication, please cite R. Winkler and A. Rieder, Model-aware Newton-type inversion scheme for electrical impedance tomography, Inverse Problems 31 (2015) 045009.
| Semester | Titel | Typ |
|---|---|---|
| Winter Semester 2015/16 | Advanced Inverse Problems: Nonlinearity and Banach Spaces | Lecture |
| Lecture | ||
| Summer Semester 2015 | Optimierungstheorie | Lecture |
| Seminar | ||
| Winter Semester 2014/15 | Inverse Probleme | Lecture |
| Unrestringierte nichtlineare Optimierung | Proseminar | |
| Summer Semester 2014 | Optimierungstheorie | Lecture |
| Winter Semester 2012/13 | Inverse Probleme | Lecture |
| Summer Semester 2011 | Numerische Mathematik 2 | Lecture |
Research interests
- Inverse and ill-posed problems, with applications to medical imaging
- Compressed sensing and sparse reconstruction
- Mathematical methods for image processing
Publications
- A model-aware inexact Newton scheme for electrical impedance tomography, 2016, PhD thesis at the Karlsruhe Institute of Technology, available in the KIT library under http://primo.bibliothek.kit.edu/primo_library/libweb/action/dlDisplay.do?vid=KIT&docId=KITSRCE1000054135
- Model-aware Newton-type inversion scheme for electrical impedance tomography, Inverse Problems 31 (2015) 045009, with A. Rieder.
- Resolution-controlled conductivity discretization in electrical impedance tomography, SIAM J. Imaging Sci., 7(4), 2048–2077, 2014, with A. Rieder.
- Compressed Sensing in MRI: Principles, applications and efficient algorithms (in German), Diploma thesis, Karlsruhe Institute of Technology, 2010.
Conference talks and proceedings
- Model-aware Newton-type inversion in Electrical Impedance Tomography at the 12th International Conference on Mathematical and Numerical Aspects of Wave Propagation (Waves 2015), with A. Rieder.
- A holistic reconstruction framework for electrode models at the 16th International Conference on Biomedical Applications of Electrical Impedance Tomography (EIT 2015) (Artikel PDF) (Proceedings PDF), with A. Rieder.
- Proceedings on a Resolution-controlled conductivity discretization in electrical impedance tomography Oberwolfach Reports 11(3), 2096-2097, 2014, with A. Rieder.
- Adaptive sensitivity-based regularization for Newton-type inversion in electrical impedance tomography at the "Chemnitz Symposium on Inverse Problems 2014", with A. Rieder.
- Fine-Tuning of the Complete Electrode Model in Electrical Impedance Tomography at the 15th International Conference on Biomedical Applications of Electrical Impedance Tomography (EIT 2014) (Artikel PDF) (Proceedings PDF), with S. Staboulis, A. Rieder, N. Hyvönen. The contribution was awarded the Best Student Paper Award by the Institute of Physics (IOP).
