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IJRR
2002
129views more  IJRR 2002»
13 years 4 months 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
13 years 4 months 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»
13 years 4 months 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
13 years 6 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
13 years 6 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
13 years 8 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
13 years 9 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