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 University Paris Dauphine, under the supervision of Vincent Duval and Yohann De Castro (I was also a member of the INRIA team MOKAPLAN).
Inverse problems in imaging

Grid-free / off-the-grid sparse estimation

Calculus of variations

Shape optimization
[2] Exact recovery of the support of piecewise constant images via total variation regularization, with Y. De Castro and V. Duval, in preparation.
[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, 2022.
  • 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 on December 2022.