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math.DG2020
Geodesic tomography problems on Riemannian manifolds
Jesse Railo
This PhD dissertation is concerned with integral geometric inverse problems. The geodesic ray transform is an operator that encodes the line integrals of a function along geodesics…
math.DG2019
Geodesic ray transform with matrix weights for piecewise constant functions
Joonas Ilmavirta, Jesse Railo
We show injectivity of the geodesic X-ray transform on piecewise constant functions when the transform is weighted by a continuous matrix weight. The manifold is assumed to be comp…