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IJRR
2002
129views more  IJRR 2002»
14 years 4 days ago
Deformable Free-Space Tilings for Kinetic Collision Detection
We present kinetic data structures for detecting collisions between a set of polygons that are moving continuously. Unlike classical collision detection methods that rely on bound...
Pankaj K. Agarwal, Julien Basch, Leonidas J. Guiba...
COMGEO
2004
ACM
14 years 9 days ago
Kinetic collision detection between two simple polygons
We design a kinetic data structure for detecting collisions between two simple polygons in motion. In order to do so, we create a planar subdivision of the free space between the ...
Julien Basch, Jeff Erickson, Leonidas J. Guibas, J...
TALG
2008
131views more  TALG 2008»
14 years 11 days ago
Kinetic and dynamic data structures for closest pair and all nearest neighbors
We present simple, fully dynamic and kinetic data structures, which are variants of a dynamic two-dimensional range tree, for maintaining the closest pair and all nearest neighbors...
Pankaj K. Agarwal, Haim Kaplan, Micha Sharir
CCCG
2008
14 years 1 months ago
Polar Diagram of Moving Objects
Many important problems in Computational Geometry needs to perform some kind of angle processing. The Polar Diagram [4] is a locus approach for problems processing angles. Using t...
Mojtaba Nouri Bygi, Mohammad Ghodsi
COMPGEOM
2008
ACM
14 years 2 months ago
A simple and efficient kinetic spanner
We present a kinetic data structure for maintaining a (1+ )-spanner of size O(n/2 ) for a set of n moving points in the plane. Assuming the trajectories of the points can be descr...
Mohammad Ali Abam, Mark de Berg, Joachim Gudmundss...
COMPGEOM
2001
ACM
14 years 4 months ago
Discrete mobile centers
We propose a new randomized algorithm for maintaining a set of clusters among moving nodes in the plane. Given a specified cluster radius, our algorithm selects and maintains a va...
Jie Gao, Leonidas J. Guibas, John Hershberger, Li ...
COMPGEOM
2010
ACM
14 years 5 months ago
A kinetic triangulation scheme for moving points in the plane
We present a simple randomized scheme for triangulating a set P of n points in the plane, and construct a kinetic data structure which maintains the triangulation as the points of...
Haim Kaplan, Natan Rubin, Micha Sharir