Romain Petit

I am a PhD student in mathematics at University Paris Dauphine and INRIA Paris, supervised by Vincent Duval and Yohann De Castro.
Inverse problems in imaging (in particular grid-free signal recovery)

Calculus of variations

Geometric measure theory
[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.