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COMPGEOM
2000
ACM
15 years 2 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
TCOS
2010
14 years 8 months ago
Constructing Two-Dimensional Voronoi Diagrams via Divide-and-Conquer of Envelopes in Space
We present a general framework for computing two-dimensional Voronoi diagrams of different classes of sites under various distance functions. Most diagrams mentioned in the paper ...
Ophir Setter, Micha Sharir, Dan Halperin
58
Voted
COMPGEOM
2006
ACM
15 years 3 months ago
On overlays and minimization diagrams
The overlay of 2 ≤ m ≤ d minimization diagrams of n surfaces in Rd is isomorphic to a substructure of a suitably constructed minimization diagram of mn surfaces in Rd+m−1 . ...
Vladlen Koltun, Micha Sharir
96
Voted
SIGGRAPH
2010
ACM
15 years 2 months ago
Matching fluid simulation elements to surface geometry and topology
We introduce an Eulerian liquid simulation framework based on the Voronoi diagram of a potentially unorganized collection of pressure samples. Constructing the simulation mesh in ...
Tyson Brochu, Christopher Batty, Robert Bridson
COMPGEOM
1993
ACM
15 years 1 months ago
A Linear-Time Randomized Algorithm for the Bounded Voronoi Diagram of a Simple Polygon
For a polygon P, the bounded Voronoi diagram of P is a partition of P into regions assigned to the vertices of P. A point p inside P belongs to the region of a vertex v if and onl...
Rolf Klein, Andrzej Lingas