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» Refolding planar polygons
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FOCS
2009
IEEE
14 years 2 months ago
Decomposing Coverings and the Planar Sensor Cover Problem
We show that a k-fold covering using translates of an arbitrary convex polygon can be decomposed into Omega(k) covers (using an efficient algorithm). We generalize this result to ...
Matt Gibson, Kasturi R. Varadarajan
FORMATS
2006
Springer
13 years 11 months ago
Static Analysis for State-Space Reduction of Polygonal Hybrid Systems
Polygonal hybrid systems (SPDI) are a subclass of planar hybrid automata which can be represented by piecewise constant differential inclusions. The reachability problem as well as...
Gordon J. Pace, Gerardo Schneider
CGF
2006
125views more  CGF 2006»
13 years 7 months ago
Translational Covering of Closed Planar Cubic B-Spline Curves
Spline curves are useful in a variety of geometric modeling and graphics applications and covering problems abound in practical settings. This work defines a class of covering dec...
Cristina Neacsu, Karen Daniels
CAGD
2008
124views more  CAGD 2008»
13 years 7 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
FOCS
2000
IEEE
13 years 11 months ago
Nearly Optimal Expected-Case Planar Point Location
We consider the planar point location problem from the perspective of expected search time. We are given a planar polygonal subdivision S and for each polygon of the subdivision t...
Sunil Arya, Theocharis Malamatos, David M. Mount