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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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Publikationstyp
Artikel: Journalartikel
Dokumenttyp
Wissenschaftlicher Artikel
Schlagwörter
Higher-order Regularization ; Indirect Measurement Operator ; Inverse Problems ; Manifold-valued Data ; Tv Regularization
ISSN (print) / ISBN
2049-8772
e-ISSN
2049-8772
Zeitschrift
Information and Inference
Quellenangaben
Band: 10,
Heft: 1,
Seiten: 195-230
Verlag
Oxford University Press
Nichtpatentliteratur
Publikationen
Institut(e)
Institute of Computational Biology (ICB)