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DGCI
2006
Springer
15 years 1 months ago
Revisiting Digital Straight Segment Recognition
Abstract. This paper presents new results about digital straight segments, their recognition and related properties. They come from the study of the arithmetically based recognitio...
François de Vieilleville, Jacques-Olivier L...
COMPGEOM
2005
ACM
14 years 11 months ago
Shortest path amidst disc obstacles is computable
An open question in Exact Geometric Computation is whether there are transcendental computations that can be made “geometrically exact”. Perhaps the simplest such problem in c...
Ee-Chien Chang, Sung Woo Choi, DoYong Kwon, Hyungj...
COMPGEOM
2008
ACM
14 years 11 months ago
Polychromatic colorings of plane graphs
We show that the vertices of any plane graph in which every face is of length at least g can be colored by (3g - 5)/4 colors so that every color appears in every face. This is nea...
Noga Alon, Robert Berke, Kevin Buchin, Maike Buchi...
COMPGEOM
2008
ACM
14 years 11 months ago
The complexity of the outer face in arrangements of random segments
We investigate the complexity of the outer face in arrangements of line segments of a fixed length in the plane, drawn uniformly at random within a square. We derive upper bounds ...
Noga Alon, Dan Halperin, Oren Nechushtan, Micha Sh...
COMPGEOM
2008
ACM
14 years 11 months ago
Routing a maximum number of disks through a scene of moving obstacles
This video illustrates an algorithm for computing a maximum number of disjoint paths for unit disks moving among a set of dynamic obstacles in the plane. The problem is motivated ...
Joondong Kim, Joseph S. B. Mitchell, Valentin Poli...