  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.
