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» Formalizing complex plane geometry
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COMPGEOM
2008
ACM
15 years 1 months ago
The complexity of the outer face in arrangements of random segments
We investigate the complexity of the outer face in arrangements of line segments of a fixed length in the plane, drawn uniformly at random within a square. We derive upper bounds ...
Noga Alon, Dan Halperin, Oren Nechushtan, Micha Sh...
COMPGEOM
2009
ACM
15 years 5 months ago
On the topology of planar algebraic curves
We revisit the problem of computing the topology and geometry of a real algebraic plane curve. The topology is of prime interest but geometric information, such as the position of...
Jinsan Cheng, Sylvain Lazard, Luis Mariano Pe&ntil...
COMPGEOM
2011
ACM
14 years 2 months ago
Persistence-based clustering in riemannian manifolds
We present a clustering scheme that combines a mode-seeking phase with a cluster merging phase in the corresponding density map. While mode detection is done by a standard graph-b...
Frédéric Chazal, Leonidas J. Guibas,...
COMPGEOM
2005
ACM
15 years 1 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
SMA
1997
ACM
152views Solid Modeling» more  SMA 1997»
15 years 3 months ago
Structured Topological Complexes: A Feature-Based API for Non-Manifold Topologies
Much of recent research in representation schemes for solid modeling was focused on the extension of boundary representations to support non-manifold topologies. We introduce here...
Jarek Rossignac