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COMPGEOM
2004
ACM
14 years 4 months ago
Sampling and meshing a surface with guaranteed topology and geometry
This paper presents an algorithm for sampling and triangulating a generic C2 -smooth surface Σ ⊂ R3 that is input with an implicit equation. The output triangulation is guarant...
Siu-Wing Cheng, Tamal K. Dey, Edgar A. Ramos, Tath...
IMR
2004
Springer
14 years 4 months ago
Watertight Anisotropic Surface Meshing Using Quadrilateral Patches
This paper presents a simple technique for generating anisotropic surface triangulations using a generic unstructured quadrilateral decomposition of CAD entities that map to a log...
Robert Haimes, Michael J. Aftosmis
VIS
2004
IEEE
170views Visualization» more  VIS 2004»
15 years 3 days ago
Guaranteed Quality Triangulation of Molecular Skin Surfaces
We present an efficient algorithm to mesh the macromolecules surface model represented by the skin surface defined by Edelsbrunner. Our algorithm overcomes several challenges resi...
Ho-Lun Cheng, Xinwei Shi
GC
2011
Springer
13 years 2 months ago
A Note on the Complexity of Real Algebraic Hypersurfaces
Given an algebraic hypersurface O in Êd, how many simplices are necessary for a simplicial complex isotopic to O? We address this problem and the variant where all vertices of the...
Michael Kerber, Michael Sagraloff
IJCGA
2006
81views more  IJCGA 2006»
13 years 11 months ago
Discrete Laplace-Beltrami Operator on Sphere and Optimal Spherical Triangulations
In this paper we first modify a widely used discrete Laplace Beltrami operator proposed by Meyer et al over triangular surfaces, and then establish some convergence results for th...
Guoliang Xu