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Variational Regularization of Inverse Problems for Manifold-Valued Data (1804.10432v1)
Published 27 Apr 2018 in math.NA, cs.CV, and math.DG
Abstract: In this paper, we consider the variational regularization of manifold-valued data in the inverse problems setting. In particular, we consider TV and TGV regularization for manifold-valued data with indirect measurement operators. We provide results on the well-posedness and present algorithms for a numerical realization of these models in the manifold setup. Further, we provide experimental results for synthetic and real data to show the potential of the proposed schemes for applications.