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» Stability in geometric theories
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COMPGEOM
2003
ACM
15 years 11 months ago
Finding a curve in a map
Given a polygonal curve and a geometric graph, we describe an efficient algorithm to find a path in the graph which is most similar to the curve, using the well-known Fr´echet d...
Carola Wenk, Helmut Alt, Alon Efrat, Lingeshwaran ...
SIGACT
2008
103views more  SIGACT 2008»
15 years 6 months ago
Computational geometry column 50
Two long-open problems have been solved: (1) every sufficiently large planar point set in general position contains the vertices of an empty hexagon; (2) every finite collection o...
Joseph O'Rourke
GIS
2004
ACM
16 years 7 months ago
Time-dependent affine triangulation of spatio-temporal data
In the geometric data model [6], spatio-temporal data are modelled as a finite collection of triangles that are transformed by time-dependent affinities. To facilitate querying an...
Sofie Haesevoets, Bart Kuijpers
NOSSDAV
2009
Springer
16 years 21 days ago
A delaunay triangulation architecture supporting churn and user mobility in MMVEs
This article proposes a new distributed architecture for update message exchange in massively multi-user virtual environments (MMVE). MMVE applications require delivery of updates...
Mohsen Ghaffari, Behnoosh Hariri, Shervin Shirmoha...
COMPGEOM
2010
ACM
15 years 11 months ago
Adding one edge to planar graphs makes crossing number hard
A graph is near-planar if it can be obtained from a planar graph by adding an edge. We show that it is NP-hard to compute the crossing number of near-planar graphs. The main idea ...
Sergio Cabello, Bojan Mohar