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» Local polyhedra and geometric graphs
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COMPGEOM
2003
ACM
13 years 10 months ago
Local polyhedra and geometric graphs
We introduce a new realistic input model for geometric graphs and nonconvex polyhedra. A geometric graph G is local if (1) the longest edge at every vertex v is only a constant fa...
Jeff Erickson
ADG
2004
Springer
189views Mathematics» more  ADG 2004»
13 years 10 months ago
nD Polyhedral Scene Reconstruction from Single 2D Line Drawing by Local Propagation
In this paper, we study the problem of reconstructing the polyhedral structures and geometric positions of a general nD polyhedral scene from a single 2D line drawing. With the ide...
Hongbo Li
EJC
2011
12 years 11 months ago
Distributive lattices, polyhedra, and generalized flows
A D-polyhedron is a polyhedron P such that if x, y are in P then so are their componentwise max and min. In other words, the point set of a D-polyhedron forms a distributive latti...
Stefan Felsner, Kolja B. Knauer
CCCG
2004
13 years 6 months ago
Local properties of geometric graphs
We propose a definition of locality for properties of geometric graphs. We measure the local density of graphs using region-counting distances [8] between pairs of vertices, and w...
Jean Cardinal, Sébastien Collette, Stefan L...
WADS
2007
Springer
82views Algorithms» more  WADS 2007»
13 years 10 months ago
On a Family of Strong Geometric Spanners That Admit Local Routing Strategies
We introduce a family of directed geometric graphs, denoted Gθ λ, that depend on two parameters λ and θ. For 0 ≤ θ < π 2 and 1 2 < λ < 1, the Gθ λ graph is a s...
Prosenjit Bose, Paz Carmi, Mathieu Couture, Michie...