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Open Access Green as soon as Postprint is submitted to ZB.
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
e-ISSN
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)