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» Triangulating Topological Spaces
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COMPGEOM
2004
ACM
14 years 23 days 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...
CCCG
2003
13 years 8 months ago
An algorithm for the MaxMin area triangulation of a convex polygon
Given a convex polygon in the plane, we are interested in triangulations of its interior, i.e. maximal sets of nonintersecting diagonals that subdivide the interior of the polygon...
J. Mark Keil, Tzvetalin S. Vassilev
COMPGEOM
2000
ACM
13 years 11 months ago
Delaunay triangulations and Voronoi diagrams for Riemannian manifolds
For a sufficiently dense set of points in any closed Riemannian manifold, we prove that a unique Delannay triangulation exists. This triangulation has the same properties as in Eu...
Greg Leibon, David Letscher
COMPGEOM
2004
ACM
14 years 23 days ago
A 2D kinetic triangulation with near-quadratic topological changes
Given a set of n points S in the plane, a triangulation of S is a subdivision of the convex hull into triangles whose vertices are from S. In the kinetic setting, the input point ...
Pankaj K. Agarwal, Yusu Wang, Hai Yu
PODC
2009
ACM
14 years 7 months ago
Brief announcement: minimum spanning trees and cone-based topology control
Consider a setting where nodes can vary their transmission power thereby changing the network topology, the goal of topology control is to reduce the transmission power while ensu...
Alejandro Cornejo, Nancy A. Lynch