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arXiv · 2405.13520

Network Inpainting via Optimal Transport

Enrico Facca·Jan Martin Nordbotten·Erik Andreas Hanson
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Abstract

In this work, we present a novel tool for reconstructing networks from corrupted images. The reconstructed network is the result of a minimization problem that has a misfit term with respect to the observed data, and a physics-based regularizing term coming from the theory of optimal transport. Through a range of numerical tests, we demonstrate that our suggested approach can effectively rebuild the primary features of damaged networks, even when artifacts are present.

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Enrico Facca, Jan Martin Nordbotten, Erik Andreas Hanson. 2024-05-22. Network Inpainting via Optimal Transport. https://arxiv.org/abs/2405.13520

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