Kontakt
Pfaffenwaldring 57
70569 Stuttgart
Deutschland
Raum: 8.158
Fachgebiet
Due to my education and scientific career, my research consists in creating bridges between disciplines:
- Applied Mathematics
- Physics
- Computer Science.
My research interests cover the fields of
- Inverse Problems – Theory, Algorithms and Applications
- Industrial Mathematics for Medicine, Non-Destructive Testing and Image Processing
- Functional and Numerical Analysis
with a focus on imaging modalities and image processing tasks.
Preprints:
- R. Schmähl, G. Rigaud and B.N. Hahn, "Regularization of inverse problems in imaging using nonlinear diffusion equations", 2022,
https://arxiv.org/abs/2108.10662 - R. Schmähl, G. Rigaud and B.N. Hahn, "Regularization of inverse problems in imaging using nonlinear diffusion equations",
In preparation. - L. Kuger and G. Rigaud, "Joint fan-beam CT and Compton scattering tomography: analysis and image reconstruction",
arXiv:2008.06699. - G. Rigaud, "3D Compton scattering imaging with multiple scattering: analysis by FIO and contour reconstruction",
arXiv:1908.03066.
Peer-reviewed articles:
-
L. Kuger and G. Rigaud, "Joint fan-beam CT and Compton scattering tomography: analysis and image reconstruction",
Inverse Problems and Imaging, 2022, doi:10.3934/ipi.2022029 -
G. Rigaud, "3D Compton scattering imaging with multiple scattering: analysis by FIO and contour reconstruction",
Inverse Problems, 2021, 37, 064001 (39pp). -
L. Kuger and G. Rigaud, "Modeling and reconstruction strategy of Compton scattered data with scintillation crystals",
Crystals, 2021, 11(6), 641. -
G. Rigaud and B.N. Hahn, "Reconstruction algorithm for 3D Compton scattering imaging with incomplete data",
Inverse Problems in Science and Engineering, 2020, doi:10.1080/17415977.2020.1815723. - G. Rigaud and B.N. Hahn, "3D Compton scattering imaging and contour reconstruction for a class of Radon transforms",
Inverse Problems, 2018, 34, 075004 (22pp). - G. Rigaud, "Compton scattering tomography : Feature reconstruction and rotation-free modality",
SIAM J. Imaging Sciences, 2017, 10:4, 2217-2249. - G. Rigaud, "On Analytical Solutions to Beam-Hardening",
Sensing and Imaging, 2017, 18:5, 17pp. - G. Rigaud, Jean-Baptiste Bellet, Gerard Berginc, Ion Berechet and Stefan Berechet, "Reflective tomography solved by the inverse Radon transform",
IEEE Geoscience and Remote Sensing Letters, 2016, 13:7, 936-938. - R. Régnier, G. Rigaud and M.K. Nguyen, "Approximate image reconstruction in landscape reflection imaging",
Mathematical Problems in Engineering, 2015, Article ID 268295. - G. Rigaud and A. Lakhal, "Approximate inverse and Sobolev estimates for the attenuated Radon transform",
Inverse Problems, 2015, 31, 105010. - G. Rigaud and A. Lakhal, "Image and feature reconstruction for the attenuated Radon transform via circular harmonic decomposition of the kernel",
Inverse Problems, 2015, 31, 025007. - G. Rigaud, A. Lakhal and A.K. Louis, "Series Expansions of the Reconstruction Kernel of the Radon Transform over a Cormack-Type Family of Curves with Applications in Tomography",
SIAM J. Imaging Sciences, 2014, 7:2, pp. 924-943. - G. Rigaud, "On the inversion of the Radon transform on a generalized Cormack-type class of curves",
Inverse Problems, 2013, 29, 115010. - G. Rigaud, R. R\'egnier, M.K. Nguyen and H. Zaidi, "Combined modalities of Compton scattering tomography",
IEEE Transactions on Nuclear science, 2013, 60:3, 1570-1577. - G. Rigaud, M.K. Nguyen, and A.K. Louis, "Modelling and Simulation Results on a new Compton scattering tomography modality",
Simulation Modelling Practice and Theory, 2013, 33, 28-44. - G. Rigaud, M.K. Nguyen, and A.K. Louis, "Novel Numerical Inversions of two Circular-Arc Radon Transforms in Compton scattering tomography",
Inverse Problems in Science and Engineering, 2012, 20:6, 809-839.
University of Stuttgart
| 2022-23 WiSe |
Mathematische Programmierung 1 Masterseminar: Machine learning meets inverse problems |
| 2022 SoSe |
Mathematische Programmierung 2 (Assistent) |
University of Bremen
| 2020-21 WiSe |
Mathematical Basics of Data Analysis and Image Processing |
| 2020 SoSe |
Deep Learning Methods for Inverse Problems |
University of Würzburg
| 2019 SoSe |
Mathematical Image Processing |
| 2019 SoSe |
Repetitorium der linearen Algebra und der Analysis (GMR) |
| 2018-19 WiSe |
Arbeitsgemeinschaft: Compressed sensing |
| 2018-19 WiSe |
Repetitorium der linearen Algebra und der Analysis (GMR) |
Saarland University
| 2016 SoSe |
Inverse problems for imaging modalities |
| 2015-16 WiSe |
Spezielle Funktionen (Exercises) |
| 2014-15 WiSe |
Theorie und Numerik von Integraltransformationen (Exercises) |
Education
| 2013 | Graduation to Dr. rer. nat. with co-supervision France/Germanyin Applied Mathematics at Saarland University, Saarbrücken in Sciences and Techniques in infomation and communication processing at University of Cergy-Pontoise, Cergy-Pontoise (France) Supervisors: Prof. Dr. A.K. Louis and Prof. Dr. M.K. Nguyen |
| 2010 | M.Sc. at the University of Cergy-Pontoise (France) in Intelligent and Communications Systems |
| 2007- 2010 |
Student at Engineering school ENSEA, Cergy-Pontoise (France) Master’s Degree (Engineer Diploma) in Electrical Engineering and Computer Science |
Experiences
| From 10/2019 | Researcher at Zentrum für Technomathematik University of Bremen |
| 2018-2019 | Lecturer at the Institute for Mathematics, Chair Mathematical Physics, University of Würzburg |
| 2014-2018 | Researcher at the Institute of Applied Mathematics, Chair of Prof. A.K. Louis, Saarland University |
| 4-10/2014 | Postdoctoral researcher at University of Lorraine, Metz, France |