Forschungsinteressen:

• Inverse Problems, Theory and Algorithms
• Tomographical Methods in Medical Imaging and Non-Destructive Testing
• Industrial Mathematics

Lebenslauf:

Veröffentlichungen

• G. Rigaud and B.N. Hahn : 3D Compton scattering imaging and contour reconstruction for a class of Radon transforms Inverse Problems 34 (2018) 075004 (22pp)
• G. Rigaud: Compton Scattering Tomography: Feature Reconstruction and Rotation-Free Modality SIAM J. Imaging Sci., 10(4), 2217–2249.
• G. Rigaud: On Analytical Solutions to Beam-Hardening Sens Imaging (2017) 18:5.
• G. Rigaud, J.-B. Bellet, G. Berginc, I. Berechet, S. Berechet : Reflective imaging solved by the Radon transform IEEE Geoscience and Remote Sensing Letters, 13 (7), 2016, 936-938.
• G. Rigaud, A. Lakhal: Approximate inverse and Sobolev estimates for the attenuated Radon transform Inverse Problems 31 (2015) 105010
  Paper Selected in "2015 Highlights for Inverse Problems"
• R. Régnier, G. Rigaud, and M.K. Nguyen : Approximate Image Reconstruction in Landscape Reflection Imaging Mathematical Problems in Engineering, Article ID 268295
• G. Rigaud, A. Lakhal: Image and feature reconstruction for the attenuated Radon transform via circular harmonic decomposition of the kernel Inverse Problems 31 (2015) 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 Journal on Imaging Sciences, 7(2), 924–943.
• G. Rigaud: On the inversion of the Radon transform on a generalized Cormack-type class of curves Inverse Problems 29 (2013) 115010
• G. Rigaud, M. K. Nguyen and A. K. Louis: Modeling and Simulation Results on a new Compton Scattering Tomography Modality Simulation Modeling Practice and Theory (SIMPAT), 33(2013), 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, 20, 809-839, 2012
• G. Rigaud, M.K. Nguyen and A.K. Louis : Circular Harmonic Decomposition Approach for Numerical Inversion of Circular Radon Transforms Proceedings of the workshop New Computational Methods for Inverse Problems, Cachan, France, 2011

Vorträge:

• Contour extraction using the attenuated Radon transform
  Challenges in Inverse Problems, Montpellier, Mai 2015
• Inversion of the attenuated Radon transform via circular harmonics expansions and contours reconstruction 
  Mathematics and Algorithms in Tomography, Oberwolfach, August 2014
• Series expansions of the inverse Radon transform and applications in tomography
  Inverse Problems: Modeling and Simulation, Fethiye, Mai 2014
• Bimodality in Compton scattering tomography
  Journées d’imagerie optique non conventionnelle, Paris, March, 2014
• Inversion of the attenuated Radon transform via circular harmonics expansions and contours reconstruction
• Mathematics and Algorithms in Tomography, Oberwolfach, August 2014
• New bimodal scattered radiation tomographic imaging with attenuation and electron density correction algorithm
  38th International Conference on Acoustics, Speech, and Signal Processing (ICASSP). Vancouver, Canada, May 2013.
• Imagerie par rayonnement ionisant diffusé
  La nuit des Chercheurs, Polytechnique, Palaiseau, September, 2012.
• Circular Harmonic Decomposition Approach for Numerical Inversion of Circular Radon Transforms 
  NCMIP (New Computational Methods for Inverse Problems). Cachan, France, May 2011.
• A new circular-arc radon transform and the numerical method for its inverse resolution
  8th International Conference of Numerical Analysis and Applied Mathematics (ICNAAM). AIP Conference Proceedings, 2010.
• Modeling and simulation results on a new compton scattering tomography
  7th European Simulation and Modeling (EUROSIM), 2010.