# Dr. Gael 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

### 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 2019 | Research associate at the Center for Industrial Mathematics, University of Bremen, Habilitation |

2018 - 2019 | Lecturer at the Institute of Mathematics, Chair of Mathematical Physics, University of Würzburg |

2014 - 2018 | Research associate at the Institute of Applied Mathematics, Chair of Prof. A.K. Louis, Saarland University |

2014 | Postdoctoral researcher at the University of Lorraine, Metz, France |

2013 | Doctorate (Dr. rer. nat.) with co-supervision France/ Germany, Saarland University, Saarbrücken and Cergy-Pontoise University, Cergy-Pontoise (France) |

2010 | M.Sc. at the University of Cergy-Pontoise (France) |

2007- 2010 | Student at the ENSEA engineering school, Cergy-Pontoise (France) |

### 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 of linear algebra and analysis (GMR) |

2018-19 | WiSe | Study group: Compressed sensing |

2018-19 | WiSe | Repetitorium of linear algebra and analysis (GMR) |

### Saarland University

2016 | SoSe | Inverse problems for imaging modalities |

2015-16 | WiSe | Special Operations (Exercises) |

2014-15 | WiSe | Theory and numerics of integral transformations (Exercises) |