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» Kinetic sorting and kinetic convex hulls
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COMPGEOM
2005
ACM
13 years 6 months ago
Kinetic sorting and kinetic convex hulls
Let S be a set of n points moving on the real line. The kinetic sorting problem is to maintain a data structure on the set S that makes it possible to quickly generate a sorted li...
Mohammad Ali Abam, Mark de Berg
ESA
2008
Springer
99views Algorithms» more  ESA 2008»
13 years 6 months ago
Robust Kinetic Convex Hulls in 3D
Abstract. Kinetic data structures provide a framework for computing combinatorial properties of continuously moving objects. Although kinetic data structures for many problems have...
Umut A. Acar, Guy E. Blelloch, Kanat Tangwongsan, ...
WADS
2005
Springer
96views Algorithms» more  WADS 2005»
13 years 10 months ago
Kinetic and Dynamic Data Structures for Convex Hulls and Upper Envelopes
Giora Alexandron, Haim Kaplan, Micha Sharir
SODA
2001
ACM
126views Algorithms» more  SODA 2001»
13 years 6 months ago
Static and kinetic geometric spanners with applications
It is well known that the Delaunay Triangulation is a spanner graph of its vertices. In this paper we show that any bounded aspect ratio triangulation in two and three dimensions ...
Menelaos I. Karavelas, Leonidas J. Guibas
COMPGEOM
2004
ACM
13 years 10 months ago
A 2D kinetic triangulation with near-quadratic topological changes
Given a set of n points S in the plane, a triangulation of S is a subdivision of the convex hull into triangles whose vertices are from S. In the kinetic setting, the input point ...
Pankaj K. Agarwal, Yusu Wang, Hai Yu