Connectivity-Preserving Cortical Surface Tetrahedralization
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866911310151680000 |
|---|---|
| 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 |