Fast, Exact, Linear Booleans
We present a new system for robustly performing Boolean operations on linear, 3D polyhedra. Our system is exact, meaning that all internal numeric predicates are exactly decided in the sense of exact geometric computation. Our BSP‐tree based system is 16‐28× faster at performing iterative computatio...
Gespeichert in:
| Veröffentlicht in: | Computer graphics forum Jg. 28; H. 5; S. 1269 - 1278 |
|---|---|
| Hauptverfasser: | , |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
Oxford, UK
Blackwell Publishing Ltd
01.07.2009
|
| Schlagworte: | |
| ISSN: | 0167-7055, 1467-8659 |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | We present a new system for robustly performing Boolean operations on linear, 3D polyhedra. Our system is exact, meaning that all internal numeric predicates are exactly decided in the sense of exact geometric computation. Our BSP‐tree based system is 16‐28× faster at performing iterative computations than CGAL's Nef Polyhedra based system, the current best practice in robust Boolean operations, while being only twice as slow as the non‐robust modeler Maya. Meanwhile, we achieve a much smaller substrate of geometric subroutines than previous work, comprised of only 4 predicates, a convex polygon constructor, and a convex polygon splitting routine. The use of a BSP‐tree based Boolean algorithm atop this substrate allows us to explicitly handle all geometric degeneracies without treating a large number of cases. |
|---|---|
| Bibliographie: | ark:/67375/WNG-456HWJMS-2 ArticleID:CGF1504 istex:2EC9ABBFBEE6F618456EA6004FE53082690C62D0 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14 ObjectType-Article-2 content type line 23 |
| ISSN: | 0167-7055 1467-8659 |
| DOI: | 10.1111/j.1467-8659.2009.01504.x |