A Robust Approach to Detect Intersections between Triangles with Different Numerical Representations
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866912476460744704 |
|---|---|
| author | Garau, Luca Cherchi, Gianmarco |
| author_facet | Garau, Luca Cherchi, Gianmarco |
| contents | The detection and classification of intersections between triangles are crucial tasks in a wide range of applications within Computer Graphics and Geometry Processing, including mesh Arrangements, mesh Booleans, and generic mesh processing and fixing tasks. Existing methods are hard-coded and deeply integrated into specific algorithms, and significant efforts are usually required to integrate them into new pipelines or to extend them to different numerical representations. This paper presents a versatile and exhaustive algorithm to identify and classify intersections between triangles with either floating points, rational numbers, or implicit representations. The proposed tool is implemented as a C++ templated and header-only code that is generic and easy to integrate into further algorithms requiring the triangle-triangle intersection detection step. The developed tool has been tested and compared with a state-of-the-art approach, and it is shared with the Geometry Processing community with an Open Source license. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_08478 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Robust Approach to Detect Intersections between Triangles with Different Numerical Representations Garau, Luca Cherchi, Gianmarco Computational Geometry The detection and classification of intersections between triangles are crucial tasks in a wide range of applications within Computer Graphics and Geometry Processing, including mesh Arrangements, mesh Booleans, and generic mesh processing and fixing tasks. Existing methods are hard-coded and deeply integrated into specific algorithms, and significant efforts are usually required to integrate them into new pipelines or to extend them to different numerical representations. This paper presents a versatile and exhaustive algorithm to identify and classify intersections between triangles with either floating points, rational numbers, or implicit representations. The proposed tool is implemented as a C++ templated and header-only code that is generic and easy to integrate into further algorithms requiring the triangle-triangle intersection detection step. The developed tool has been tested and compared with a state-of-the-art approach, and it is shared with the Geometry Processing community with an Open Source license. |
| title | A Robust Approach to Detect Intersections between Triangles with Different Numerical Representations |
| topic | Computational Geometry |
| url | https://arxiv.org/abs/2507.08478 |