2 citations · 2 across the 5 of their papers we have counts for
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math.FA2019
Fourier analysis of periodic Radon transforms
Jesse Railo
We study reconstruction of an unknown function from its -plane Radon transform on the flat -torus when . We prove new reconstruction formulas and stability…
math.FA2019
Torus computed tomography
Joonas Ilmavirta, Olli Koskela, Jesse Railo
We present a new computed tomography (CT) method for inverting the Radon transform in 2D. The idea relies on the geometry of the flat torus, hence we call the new method Torus CT.…
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…