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» On sequential triangulations of simple polygons
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CAGD
2008
124views more  CAGD 2008»
13 years 6 months ago
All triangulations are reachable via sequences of edge-flips: an elementary proof
A simple proof is provided for the fact that the set of all possible triangulations of a planar point set in a polygonal domain is closed under the basic diagonal flip operation.
Eliyahu Osherovich, Alfred M. Bruckstein
AAAI
2007
13 years 8 months ago
Simple Robots with Minimal Sensing: From Local Visibility to Global Geometry
We consider problems of geometric exploration and selfdeployment for simple robots that can only sense the combinatorial (non-metric) features of their surroundings. Even with suc...
Subhash Suri, Elias Vicari, Peter Widmayer
COMPGEOM
1993
ACM
13 years 10 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
EJC
1998
13 years 6 months ago
Isotopy of Polygonal Domains for Generalized Polygons
in Proceedings of EuroCG, Berlin, M¨arz 2001, pp. 142–145. [14] Branched coverings, triangulations, and 3-manifolds, (mit Ivan Izmestiev). Adv. Geometry, 3:191–225, 2003. [15]...
Michael Joswig