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COMPGEOM
2004
ACM
13 years 10 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
CGF
2007
126views more  CGF 2007»
13 years 5 months ago
A Lagrangian Approach to Dynamic Interfaces through Kinetic Triangulation of the Ambient Space
In this paper, we propose a robust and efficient Lagrangian approach for modeling dynamic interfaces between different materials undergoing large deformations and topology change...
Jean-Philippe Pons, Jean-Daniel Boissonnat
COMPGEOM
2010
ACM
13 years 10 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
2009
ACM
13 years 9 months ago
Kinetic spanners in Rd
We present a new (1 + ε)-spanner for sets of n points in Rd . Our spanner has size O(n/εd−1 ) and maximum degree O(logd n). The main advantage of our spanner is that it can be...
Mohammad Ali Abam, Mark de Berg