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COMGEO
2008
ACM
14 years 11 months ago
On the density of iterated line segment intersections
Given S1, a finite set of points in the plane, we define a sequence of point sets Si as follows: With Si already determined, let Li be the set of all the line segments connecting ...
Ansgar Grüne, Sanaz Kamali
COMGEO
2008
ACM
14 years 11 months ago
Augmenting the connectivity of geometric graphs
Let G be a connected plane geometric graph with n vertices. In this paper, we study bounds on the number of edges required to be added to G to obtain 2-vertex or 2-edge connected ...
Manuel Abellanas, Alfredo García Olaverri, ...
COMGEO
2008
ACM
14 years 11 months ago
Lower bounds for expected-case planar point location
Given a planar polygonal subdivision S, the point location problem is to preprocess S into a data structure so that the cell of the subdivision that contains a given query point c...
Theocharis Malamatos
COMGEO
2008
ACM
14 years 11 months ago
Approximation of an open polygonal curve with a minimum number of circular arcs and biarcs
We present an algorithm for approximating a given open polygonal curve with a minimum number of circular arcs. In computer-aided manufacturing environments, the paths of cutting t...
Robert L. Scot Drysdale, Günter Rote, Astrid ...
COMGEO
2008
ACM
14 years 11 months ago
Constructing minimum-interference networks
A wireless ad-hoc network can be represented as a graph in which the nodes represent wireless devices, and the links represent pairs of nodes that communicate directly by means of...
Marc Benkert, Joachim Gudmundsson, Herman J. Haver...