We prove a uniqueness result for the broken ray transform acting on the sums of functions
and 1-forms on surfaces in the presence of an external force and a reflecting obstacle. We …

Given a Lorentzian manifold, the light ray transform of a function is its integrals along null
geodesics. This paper is concerned with the injectivity of the light ray transform on functions …

We study the weighted light ray transform L of integrating functions on a Lorentzian manifold
over lightlike geodesics. We analyze L as a Fourier Integral Operator and show that if there …

Consider a compact Riemannian manifold in dimension $ n\geq 3$ with strictly convex
boundary. We show that the transverse ray transform of $1 $ tensors and the mixed ray …

We consider the mixed ray transform of tensor fields on a three-dimensional compact simple
Riemannian manifold with boundary. We prove the injectivity of the transform, up to natural …

We show that the geodesic ray transform is injective on scalar functions on spherically
symmetric reversible Finsler manifolds where the Finsler norm satisfies a Herglotz condition …

In dimensions $\geq 3$, we prove that the X-ray transform of symmetric tensors of arbitrary
degree is generically injective with respect to the metric on closed Anosov manifolds and on …

Consider a compact Riemannian manifold in dimension $ n $ with strictly convex boundary.
We show the local invertibility near a boundary point of the transverse ray transform of $2 …

Une variété riemannienne est dite rigide lorsque la longueur des géodésiques périodiques
(cas des variétés fermées) ou des géodésiques diffusées (cas des variétés ouvertes) permet …

This is the introductory part of my PhD thesis on inverse problems arising in medical and
seismic imaging. The topics include X-ray tomography of scalar and vector fields with partial …