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» Triangulations of Line Segment Sets in the Plane
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COCOON
2003
Springer
14 years 21 days ago
On Constrained Minimum Pseudotriangulations
In this paper, we show some properties of a pseudotriangle and present three combinatorial bounds: the ratio of the size of minimum pseudotriangulation of a point set S and the siz...
Günter Rote, Cao An Wang, Lusheng Wang, Yin-F...
COMPGEOM
2009
ACM
14 years 2 months ago
Binary plane partitions for disjoint line segments
A binary space partition (BSP) for a set of disjoint objects in Euclidean space is a recursive decomposition, where each step partitions the space (and some of the objects) along ...
Csaba D. Tóth
SODA
2001
ACM
86views Algorithms» more  SODA 2001»
13 years 8 months ago
Pattern matching for sets of segments
In this paper we present algorithms for a number of problems in geometric pattern matching where the input consist of a collections of segments in the plane. Our work consists of ...
Alon Efrat, Piotr Indyk, Suresh Venkatasubramanian
COMPGEOM
2010
ACM
14 years 17 days ago
Consistent digital line segments
We introduce a novel and general approach for digitalization of line segments in the plane that satisfies a set of axioms naturally arising from Euclidean axioms. In particular, ...
Tobias Christ, Dömötör Pálv&...
CCCG
2006
13 years 9 months ago
Spanning trees across axis-parallel segments
Abstract. Given a set P of points and a set S of pairwise disjoint axis-parallel line segments in the plane, we construct a straight line spanning tree T on P such that every segme...
Csaba D. Tóth, Michael Hoffmann