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» On empty convex polygons in a planar point set
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CCCG
1993
15 years 27 days ago
Widest-corridor Problems
A k-dense corridor through a finite set, S, of n points in the plane is the open region of the plane that is bounded by two parallel lines that intersect the convex hull of S and ...
Ravi Janardan, Franco P. Preparata
CGF
2006
125views more  CGF 2006»
14 years 11 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
DIMACS
2001
15 years 29 days ago
Combinatorial Roadmaps in Configuration Spaces of Simple Planar Polygons
Abstract. One-degree-of-freedom mechanisms induced by minimum pseudotriangulations with one convex hull edge removed have been recently introduced by the author to solve a family o...
Ileana Streinu
CORR
2007
Springer
79views Education» more  CORR 2007»
14 years 11 months ago
Connecting Polygonizations via Stretches and Twangs
We show that the space of polygonizations of a fixed planar point set S of n points is connected by O(n2 ) “moves” between simple polygons. Each move is composed of a sequence...
Mirela Damian, Robin Y. Flatland, Joseph O'Rourke,...
DAM
2006
124views more  DAM 2006»
14 years 11 months ago
Coloring copoints of a planar point set
To a set of n points in the plane, one can associate a graph that has less than n2 vertices and has the property that k-cliques in the graph correspond vertex sets of convex k-gon...
Walter Morris