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COMPGEOM
2006
ACM
14 years 1 months ago
The predicates for the Voronoi diagram of ellipses
This paper examines the computation of the Voronoi diagram of a set of ellipses in the Euclidean plane. We propose the first complete algorithms, under the exact computation para...
Ioannis Z. Emiris, Elias P. Tsigaridas, George M. ...
COMPGEOM
2005
ACM
13 years 9 months ago
The Visibility-Voronoi Complex and Its Applications
We introduce a new type of diagram called the VV(c)-diagram (the visibility–Voronoi diagram for clearance c), which is a hybrid between the visibility graph and the Voronoi diag...
Ron Wein, Jur P. van den Berg, Dan Halperin
KIC
2000
13 years 8 months ago
On Engineering Design Generation with XML-based Knowledge-Enhanced Grammars
One of the major bottlenecks in conceptual engineering design is the pure amount of design information which the design engineer needs to take into consideration. Furthermore, the ...
S. Rudolph, Hansrudi Noser
COMPGEOM
2008
ACM
13 years 9 months ago
Robust construction of the three-dimensional flow complex
The Delaunay triangulation and its dual the Voronoi diagram are ubiquitous geometric complexes. From a topological standpoint, the connection has recently been made between these ...
Frédéric Cazals, Aditya G. Parameswa...
COMPGEOM
2009
ACM
14 years 2 months ago
Incremental construction of the delaunay triangulation and the delaunay graph in medium dimension
We describe a new implementation of the well-known incremental algorithm for constructing Delaunay triangulations in any dimension. Our implementation follows the exact computing ...
Jean-Daniel Boissonnat, Olivier Devillers, Samuel ...