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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
COMPGEOM
2004
ACM
13 years 9 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
SODA
2001
ACM
126views Algorithms» more  SODA 2001»
13 years 5 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
CPHYSICS
2004
93views more  CPHYSICS 2004»
13 years 4 months ago
Kinetic and dynamic Delaunay tetrahedralizations in three dimensions
We describe algorithms to implement fully dynamic and kinetic three-dimensional unconstrained Delaunay triangulations, where the time evolution of the triangulation is not only go...
Gernot Schaller, Michael Meyer-Hermann
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...