Title
Variational regularization of inverse problems for manifold-valued data
Abstract
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. Fu...
Year
DOI
Venue
2018
10.1093/imaiai/iaaa010
Information and Inference: A Journal of the IMA
Keywords
Field
DocType
manifold-valued data,inverse problems,indirect measurement operator,TV regularization,higher-order regularization
Applied mathematics,Mathematical optimization,Regularization (mathematics),Operator (computer programming),Inverse problem,Mathematics,Manifold
Journal
Volume
Issue
ISSN
10
1
2049-8764
Citations 
PageRank 
References 
1
0.35
21
Authors
2
Name
Order
Citations
PageRank
Martin Storath113812.69
andreas weinmann213812.81