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Anisotropic Triangulation of Parametric Surfaces Via Close Packing of Ellipsoids.
- Source :
-
International Journal of Computational Geometry & Applications . Aug2000, Vol. 10 Issue 4, p417. 24p. - Publication Year :
- 2000
-
Abstract
- This paper describes a new computational method of fully automated anisotropic triangulation of a trimmed parametric surface. Given as input: (1) a domain geometry and (2) a 3 × 3 tensor field that specifies a desired anisotropic node-spacing, this new approach first packs ellipsoids closely in the domain by defining proximity-based interacting forces among the ellipsoids and finding a force-balancing configuration using dynamic simulation. The centers of the ellipsoids are then connected by anisotropic Delaunay triangulation for a complete mesh topology. Since a specified tensor field controls the directions and the lengths of the ellipsoids' principal axes, the method generates a graded anisotropic mesh whose elements conform precisely to the given tensor field. [ABSTRACT FROM AUTHOR]
- Subjects :
- *TRIANGULATION
*ANISOTROPY
*GEOMETRY
Subjects
Details
- Language :
- English
- ISSN :
- 02181959
- Volume :
- 10
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- International Journal of Computational Geometry & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 6618817
- Full Text :
- https://doi.org/10.1142/S0218195900000243