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Variational regularization of inverse problems for manifold-valued data.
Info. Infern. 10, 195-230 (2021)
In this paper, we consider the variational regularization of manifold-valued data in the inverse problems setting. In particular, we consider total variation and total generalized variation 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.
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Publication type Article: Journal article
Document type Scientific Article
Keywords Higher-order Regularization ; Indirect Measurement Operator ; Inverse Problems ; Manifold-valued Data ; Tv Regularization
ISSN (print) / ISBN 2049-8772
Journal Information and Inference
Quellenangaben Volume: 10, Issue: 1, Pages: 195-230
Publisher Oxford University Press
Institute(s) Institute of Computational Biology (ICB)