16 citations · 22 across the 5 of their papers we have counts for
5 papers
Double b-fibrations and desingularization of the X-ray transform on manifolds with strictly convex boundary
Rafe Mazzeo, François Monard
We study the mapping properties of the X-ray transform and its adjoint on spaces of conormal functions on Riemannian manifolds with strictly convex boundary. After desingularizing…
Statistical guarantees for Bayesian uncertainty quantification in non-linear inverse problems with Gaussian process priors
François Monard, Richard Nickl, Gabriel P. Paternain
Bayesian inference and uncertainty quantification in a general class of non-linear inverse regression models is considered. Analytic conditions on the regression model $\{\mathscr…
Inverse source problems in transport via attenuated tensor tomography
Guillaume Bal, François Monard
We establish results for the injectivity and injectivity modulo gauge of certain inverse source problems in transport on a simply connected domain with variable index of refraction…
Inversion formulas and range characterizations for the attenuated geodesic ray transform
Yernat Assylbekov, François Monard, Gunther Uhlmann
We present two range characterizations for the attenuated geodesic X-ray transform defined on pairs of functions and one-forms on simple surfaces. Such characterizations are based…
Simultaneous source and attenuation reconstruction in SPECT using ballistic and single scattering data
Matias Courdurier, Francois Monard, Axel Osses +1
In medical SPECT imaging, we seek to simultaneously obtain the internal radioactive sources and the attenuation map using not only ballistic measurements but also first order scatt…