Romain Petit

I am a postdoctoral researcher at MaLGa, in the mathematics department of the University of Genoa, working with Giovanni S. Alberti on inverse problems for PDEs. I obtained my PhD in mathematics from Université Paris Dauphine and INRIA Paris (MOKAPLAN team), under the supervision of Vincent Duval and Yohann De Castro.
21 February 2024 SPOC seminar, Institut de Mathématiques de Bourgogne
Inverse problems in imaging
Grid-free / off-the-grid sparse estimation
Calculus of variations
Shape optimization
[3] Localization of point scatterers via sparse optimization on measures, with G. S. Alberti and M. Santacesaria, submitted, 2024.
[2] Exact recovery of the support of piecewise constant images via total variation regularization, with Y. De Castro and V. Duval.
  • Long version, submitted, 2023.
  • Short version (in French), XXIXème Colloque Francophone de Traitement du Signal et des Images (GRETSI), 2023.
[1] Towards off-the-grid algorithms for total variation regularized inverse problems, with Y. De Castro and V. Duval.
  • Long version, Journal of Mathematical Imaging and Vision, 2023.
  • Short version, proceedings of the 8th International Conference on Scale Space and Variational Methods in Computer Vision (SSVM), 2021.
Reconstruction of piecewise constant images via total variation regularization: exact support recovery and grid-free numerical methods, defended in December 2022.