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CCCG
2007
13 years 8 months ago
A Disk-Covering Problem with Application in Optical Interferometry
Given a disk O in the plane called the objective, we want to find n small disks P1, . . . , Pn called the pupils such that n i,j=1 Pi Pj ⊇ O, where denotes the Minkowski diffe...
Trung Nguyen, Jean-Daniel Boissonnat, Fréd&...
CCCG
2007
13 years 8 months ago
Homothetic Triangle Contact Representations of Planar Graphs
In this paper we study the problem of computing homothetic triangle contact representations of planar graphs. Since not all planar graphs admit such a representation, we concentra...
Melanie Badent, Carla Binucci, Emilio Di Giacomo, ...
CCCG
2007
13 years 8 months ago
Disjoint Segments Have Convex Partitions with 2-Edge Connected Dual Graphs
The empty space around n disjoint line segments in the plane can be partitioned into n + 1 convex faces by extending the segments in some order. The dual graph of such a partition...
Nadia Benbernou, Erik D. Demaine, Martin L. Demain...
CCCG
2004
13 years 8 months ago
On the number of line tangents to four triangles in three-dimensional space
We establish upper and lower bounds on the number of connected components of lines tangent to four triangles in R3 . We show that four triangles in R3 may admit at least 88 tangent...
Hervé Brönnimann, Olivier Devillers, S...
CCCG
2004
13 years 8 months ago
Computing the set of all distant horizons of a terrain
We study the problem of computing the set of all distant horizons of a terrain, represented as either: the set of all edges that appear in the set of all distant horizons; the con...
William S. Evans, Daniel Archambault, David G. Kir...