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COMGEO
2007
ACM
14 years 13 days ago
A package for exact kinetic data structures and sweepline algorithms
In this paper we present a package for implementing exact kinetic data structures built on objects which move along polynomial trajectories. We discuss how the package design was ...
Daniel Russel, Menelaos I. Karavelas, Leonidas J. ...
ESA
2008
Springer
99views Algorithms» more  ESA 2008»
14 years 2 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, ...
ESA
2006
Springer
111views Algorithms» more  ESA 2006»
14 years 4 months ago
Kinetic Collision Detection for Convex Fat Objects
We design compact and responsive kinetic data structures for detecting collisions between n convex fat objects in 3-dimensional space that can have arbitrary sizes. Our main result...
Mohammad Ali Abam, Mark de Berg, Sheung-Hung Poon,...
COMPGEOM
2010
ACM
14 years 5 months ago
Kinetic stable Delaunay graphs
The best known upper bound on the number of topological changes in the Delaunay triangulation of a set of moving points in R2 is (nearly) cubic, even if each point is moving with ...
Pankaj K. Agarwal, Jie Gao, Leonidas J. Guibas, Ha...
COMPGEOM
2004
ACM
14 years 5 months ago
An empirical comparison of techniques for updating Delaunay triangulations
The computation of Delaunay triangulations from static point sets has been extensively studied in computational geometry. When the points move with known trajectories, kinetic dat...
Leonidas J. Guibas, Daniel Russel
COMPGEOM
2004
ACM
14 years 5 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