“Mapping-Independent Triangulation of Parametric Surfaces” by Attene and Wyvill
Conference:
Type(s):
Interest Area:
- Application
Title:
- Mapping-Independent Triangulation of Parametric Surfaces
Session/Category Title: Meshes
Presenter(s)/Author(s):
Abstract:
Triangulation of parametric surfaces is important for visualization and finite element analysis. The wrong choice of parameterization can spoil a triangulation or even cause the algorithm to fail. We present a new method that uses a local inverse mapping for almost uniformly sampling and triangulating a surface, so that its parameterization becomes irrelevant; differential geometry provides almost all we need.
References:
1. Lipshutz, S. (1983). Shaum’s outline of differential geometry. McGraw Hill, 1983.
2. Hartman, E. (1998). A marching method for triangulation of surfaces. The
Visual Computer 14: 95-108.
3. Seibold, W. & Wyvill, G. (1999). Near-optimal adaptive polygonization.
In Proceedings CGI’99 IEEE Computer Society, 206-213.