Yohann DE CASTRO
Imaging in Paris Seminar - Séminaire Parisien des Mathématiques de l'Imagerie
Description: Homepage of Romain Petit
petit (149) inverse problems (9) romain petit (2) romain petit math (1) total variation (1)
I am a postdoctoral researcher at MaLGa , in the mathematics department of the University of Genoa, working with Giovanni S. Alberti on non-linear inverse problems. I obtained my PhD in applied mathematics from Université Paris Dauphine and INRIA Paris ( MOKAPLAN team) in December 2022, under the supervision of Vincent Duval and Yohann De Castro .
Abstract. We consider the inverse scattering problem for time-harmonic acoustic waves in a medium with pointwise inhomogeneities. In the Foldy-Lax model, the estimation of the scatterers' locations and intensities from far field measurements can be recast as the recovery of a discrete measure from nonlinear observations. We propose a "linearize and locally optimize" approach to perform this reconstruction. We first solve a convex program in the space of measures (known as the Beurling LASSO), which involves
Abstract. This work is concerned with the recovery of piecewise constant images from noisy linear measurements. We study the noise robustness of a variational reconstruction method, which is based on total (gradient) variation regularization. We show that, if the unknown image is the superposition of a few simple shapes, and if a non-degenerate source condition holds, then, in the low noise regime, the reconstructed images have the same structure: they are the superposition of the same number of shapes, eac
Yohann DE CASTRO
Imaging in Paris Seminar - Séminaire Parisien des Mathématiques de l'Imagerie