Network Inpainting via Optimal Transport
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916257221050368 |
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| author | Facca, Enrico Nordbotten, Jan Martin Hanson, Erik Andreas |
| author_facet | Facca, Enrico Nordbotten, Jan Martin Hanson, Erik Andreas |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_13520 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Network Inpainting via Optimal Transport Facca, Enrico Nordbotten, Jan Martin Hanson, Erik Andreas Numerical Analysis Optimization and Control 49-04, 49K20, 49N99, 65N21, 65N30, 65Z05 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. |
| title | Network Inpainting via Optimal Transport |
| topic | Numerical Analysis Optimization and Control 49-04, 49K20, 49N99, 65N21, 65N30, 65Z05 |
| url | https://arxiv.org/abs/2405.13520 |