Name
Abstract | ||
|---|---|---|
This work introduces a robust algorithm for computing good polygonal approximations of implicit surfaces, where robustness entails recovering the exact topology of the implicit surface. Furthermore, the approximate triangle mesh adapts to the geometry and to the topology of the real implicit surface. This method generates an octree subdivided according to the interval evaluation of the implicit function in order to guarantee the robustness, and to the interval automatic differentiation in order to adapt the octree to the geometry of the implicit surface. The triangle mesh is then generated from that octree through an enhanced dual marching. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1109/SIBGRAPI.2006.40 | SIBGRAPI - Brazilian Symposium on Computer Graphics and Image Processing |
Keywords | Field | DocType |
implicit surface,dual marching cubes,robust algorithms,geometric modelling | Polygon,Mathematical optimization,Polygon mesh,Computational geometry,Algorithm,Robustness (computer science),Implicit function,Mesh generation,Mathematics,Octree,Triangle mesh | Conference |
ISSN | Citations | PageRank |
1530-1834 | 18 | 0.94 |
References | Authors | |
22 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Afonso Paiva | 1 | 135 | 16.76 |
| Hélio Lopes | 2 | 248 | 21.84 |
| Thomas Lewiner | 3 | 700 | 43.70 |
| Luiz Henrique de Figueiredo | 4 | 629 | 62.99 |