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» Out-of-Order Event Processing in Kinetic Data Structures
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ESA
2006
Springer
92views Algorithms» more  ESA 2006»
14 years 2 months ago
Out-of-Order Event Processing in Kinetic Data Structures
We study the problem of designing kinetic data structures (KDS's for short) when event times cannot be computed exactly and events may be processed in a wrong order. In tradi...
Mohammad Ali Abam, Pankaj K. Agarwal, Mark de Berg...
TALG
2008
131views more  TALG 2008»
13 years 11 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
COMPGEOM
2008
ACM
14 years 23 days 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
2005
ACM
14 years 28 days 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
2006
Springer
111views Algorithms» more  ESA 2006»
14 years 2 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,...