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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2512.08450 |
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| _version_ | 1866911310151680000 |
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| author | Osman, Besm Vink, Ruben Jalba, Andrei Chamberland, Maxime |
| author_facet | Osman, Besm Vink, Ruben Jalba, Andrei Chamberland, Maxime |
| contents | A prerequisite for many biomechanical simulation techniques is discretizing a bounded volume into a tetrahedral mesh. In certain contexts, such as cortical surface simulations, preserving input surface connectivity is critical. However, automated surface extraction often yields meshes containing self-intersections, small holes, and faulty geometry, which prevents existing constrained and unconstrained meshers from preserving this connectivity. We address this issue by developing a novel tetrahedralization method that maintains input surface connectivity in the presence of such defects. We also present a metric to quantify the preservation of surface connectivity and demonstrate that our method correctly maintains connectivity compared to existing solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_08450 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Connectivity-Preserving Cortical Surface Tetrahedralization Osman, Besm Vink, Ruben Jalba, Andrei Chamberland, Maxime Computational Geometry A prerequisite for many biomechanical simulation techniques is discretizing a bounded volume into a tetrahedral mesh. In certain contexts, such as cortical surface simulations, preserving input surface connectivity is critical. However, automated surface extraction often yields meshes containing self-intersections, small holes, and faulty geometry, which prevents existing constrained and unconstrained meshers from preserving this connectivity. We address this issue by developing a novel tetrahedralization method that maintains input surface connectivity in the presence of such defects. We also present a metric to quantify the preservation of surface connectivity and demonstrate that our method correctly maintains connectivity compared to existing solutions. |
| title | Connectivity-Preserving Cortical Surface Tetrahedralization |
| topic | Computational Geometry |
| url | https://arxiv.org/abs/2512.08450 |