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» On Convex Quadrangulations of Point Sets on the Plane
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SODA
2003
ACM
103views Algorithms» more  SODA 2003»
14 years 11 months ago
On the rectilinear crossing number of complete graphs
We prove a lower bound of 0.3288   n 4¡ for the rectilinear crossing number cr(Kn) of a complete graph on n vertices, or in other words, for the minimum number of convex quadril...
Uli Wagner
CCCG
1993
14 years 11 months 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
CCCG
2007
14 years 11 months ago
Cache-Oblivious Output-Sensitive Two-Dimensional Convex Hull
We consider the problem of two-dimensional outputsensitive convex hull in the cache-oblivious model. That is, we are interested in minimizing the number of cache faults caused whe...
Peyman Afshani, Arash Farzan
SMA
2009
ACM
134views Solid Modeling» more  SMA 2009»
15 years 4 months ago
Exact Delaunay graph of smooth convex pseudo-circles: general predicates, and implementation for ellipses
We examine the problem of computing exactly the Delaunay graph (and the dual Voronoi diagram) of a set of, possibly intersecting, smooth convex pseudo-circles in the Euclidean pla...
Ioannis Z. Emiris, Elias P. Tsigaridas, George M. ...
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ICRA
2003
IEEE
118views Robotics» more  ICRA 2003»
15 years 3 months ago
Capturing a convex object with three discs
Abstract— This paper addresses the problem of capturing an arbitrary convex object P in the plane with three congruent disc-shaped robots. Given two stationary robots in contact ...
Jeff Erickson, Shripad Thite, Fred Rothganger, Jea...