HKUST Institutional Repository >
Computer Science and Engineering >
CSE Journal/Magazine Articles >
Please use this identifier to cite or link to this item:
|Title: ||Sampling and meshing a surface with guaranteed topology and geometry|
|Authors: ||Cheng, Siu-Wing|
Dey, Tamal K.
Ramos, Edgar A.
|Keywords: ||Smooth surface|
|Issue Date: ||2007 |
|Citation: ||SIAM journal on computing, v.37, no. 4, p. 1199-1227|
|Abstract: ||This paper presents an algorithm for sampling and triangulating a generic C2-smooth surface ∑ ⊂ R3 that is input with an implicit equation. The output triangulation is guaranteed to be homeomorphic to ∑. We also prove that the triangulation has well-shaped triangles, large dihedral angles, and a small size. The only assumption we make is that the input surface representation is amenable to certain types of computations, namely computations of the intersection points of a line and ∑, computations of the critical points in a given direction, and computations of certain silhouette points.|
|Rights: ||Copyright © SIAM. This paper is made available with permission of the Society for Industrial and Applied Mathematics for limited noncommerical distribution only.|
|Appears in Collections:||CSE Journal/Magazine Articles|
Files in This Item:
|journal.pdf||pre-published version||567Kb||Adobe PDF||View/Open|
Find published version via
All items in this Repository are protected by copyright, with all rights reserved.