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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.…