# A Graph Framework for Manifold-Valued Data

@article{Bergmann2018AGF,
title={A Graph Framework for Manifold-Valued Data},
author={Ronny Bergmann and Daniel Tenbrinck},
journal={SIAM J. Imaging Sci.},
year={2018},
volume={11},
pages={325-360}
}
• Published 17 February 2017
• Mathematics, Computer Science
• SIAM J. Imaging Sci.
Graph-based methods have been proposed as a unified framework for discrete calculus of local and nonlocal image processing methods in recent years. In order to translate variational models and partial differential equations to a graph, certain operators have been investigated and successfully applied to real-world applications involving graph models. So far the graph framework has been limited to real- and vector-valued functions on Euclidean domains. In this paper we generalize this model to…
16 Citations

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