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Dr. Gael Rigaud

Bild Gaël Rigaud

Dr. Gael Rigaud

Research associate

Inverse Problems and Magnetic Particle Imaging

Bibliothekstraße 5
28359 Bremen

Office: MZH 2470
E-Mail: gael.rigaudprotect me ?!uni-bremenprotect me ?!.de

Research areas

  • Inverse Problems – Theory, Algorithms and Applications
  • Industrial Mathematics for Medicine, Non-Destructive Testing and Image Processing
  • Functional and Numerical Analysis

 

Peer-reviewed articles

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.

 

Preprints

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.

seit 2019Research associate at the Center for Industrial Mathematics,
University of Bremen, Habilitation
2018 - 2019Lecturer at the Institute of Mathematics,
Chair of Mathematical Physics, University of Würzburg
2014 - 2018Research associate at the Institute of Applied Mathematics,
Chair of Prof. A.K. Louis, Saarland University
2014Postdoctoral researcher at the University of Lorraine, Metz, France
2013Doctorate (Dr. rer. nat.) with co-supervision France/ Germany, Saarland University, Saarbrücken and Cergy-Pontoise University, Cergy-Pontoise (France)
2010M.Sc. at the University of Cergy-Pontoise (France)
2007-
2010
Student at the ENSEA engineering school, Cergy-Pontoise (France)

 

University of Bremen

2020-21WiSeMathematical Basics of Data Analysis and Image Processing
2020SoSeDeep Learning Methods for Inverse Problems

University of Würzburg

2019SoSeMathematical Image Processing
2019SoSeRepetitorium of linear algebra and analysis (GMR)
2018-19WiSeStudy group: Compressed sensing
2018-19WiSeRepetitorium of linear algebra and analysis (GMR)

Saarland University

2016SoSeInverse problems for imaging modalities
2015-16WiSeSpecial Operations (Exercises)
2014-15WiSeTheory and numerics of integral transformations (Exercises)