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math.NA2013
Irregular Sampling of the Radon Transform of Bandlimited Functions
Thomas Wiese, Laurent Demaret
We provide conditions for exact reconstruction of a bandlimited function from irregular polar samples of its Radon transform. First, we prove that the Radon transform is a continuo…
math.NA2013★ 112 cited
Jump-sparse and sparse recovery using Potts functionals
Martin Storath, Andreas Weinmann, Laurent Demaret
We recover jump-sparse and sparse signals from blurred incomplete data corrupted by (possibly non-Gaussian) noise using inverse Potts energy functionals. We obtain analytical resul…