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math.AP2019
Functional relations, sharp mapping properties and regularization of the X-ray transform on disks of constant curvature
François Monard
On simple geodesic disks of constant curvature, we derive new functional relations for the geodesic X-ray transform, involving a certain class of elliptic differential operators wh…
math.AP2019
Consistent Inversion of Noisy Non-Abelian X-Ray Transforms
François Monard, Richard Nickl, Gabriel P. Paternain
For a simple surface, the non-linear statistical inverse problem of recovering a matrix field from discrete, noisy measurements of the -value…