Name
Abstract | ||
|---|---|---|
Given a nonsingular compact two-manifold F without boundary, we present methods for establishing a family of surfaces which can approximate F so that each approximant is ambient isotopic to F. The methods presented here offer broad theoretical guidance for a rich class of ambient isotopic approximations, for applications in graphics, animation and surface reconstruction. They are also used to establish sufficient conditions for an interval solid to be ambient isotopic to the solid it is approximating. Furthermore, the normals of the approximant are compared to the normals of the original surface, as these approximating normals play prominent roles in many graphics algorithms. |
Year | DOI | Venue |
|---|---|---|
2004 | 10.1016/j.cad.2004.01.008 | Computer-Aided Design |
Keywords | DocType | Volume |
Ambient isotopy,Computational topology,Surface reconstruction,Interval solids,Offsets and deformations,Reverse engineering | Journal | 36 |
Issue | ISSN | Citations |
11 | 0010-4485 | 3 |
PageRank | References | Authors |
0.40 | 9 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Takis Sakkalis | 1 | 347 | 34.52 |
| Thomas J. Peters | 2 | 181 | 18.68 |
| Justin Bisceglio | 3 | 3 | 0.40 |