3 papers
math.AP2019
Range characterizations and Singular Value Decomposition of the geodesic X-ray transform on disks of constant curvature
Rohit Kumar Mishra, François Monard
For a one-parameter family of simple metrics of constant curvature ( for ) on the unit disk , we first make explicit the Pestov-Uhlmann range characterization o…
math.DG2018
On solenoidal-injective and injective ray transforms of tensor fields on surfaces
Venkateswaran P. Krishnan, Rohit Kumar Mishra, François Monard
We first give a constructive answer to the attenuated tensor tomography problem on simple surfaces. We then use this result to propose two approaches to produce vector-valued integ…
math.DG2018
Integral geometry on manifolds with boundary and applications
Joonas Ilmavirta, François Monard
We survey recent results on inverse problems for geodesic X-ray transforms and other linear and non-linear geometric inverse problems for Riemannian metrics, connections and Higgs…