Variational Regularization of Inverse Problems for Manifold-Valued Data
Numerical Analysis
2018-04-30 v1 Computer Vision and Pattern Recognition
Differential Geometry
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.
Cite
@article{arxiv.1804.10432,
title = {Variational Regularization of Inverse Problems for Manifold-Valued Data},
author = {Martin Storath and Andreas Weinmann},
journal= {arXiv preprint arXiv:1804.10432},
year = {2018}
}