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» Elementary Moves on Triangulations
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WADS
2001
Springer
105views Algorithms» more  WADS 2001»
13 years 12 months ago
Voronoi Diagrams for Moving Disks and Applications
In this paper we discuss the kinetic maintenance of the Euclidean Voronoi diagram and its dual, the Delaunay triangulation, for a set of moving disks. The most important aspect in ...
Menelaos I. Karavelas
SODA
2001
ACM
126views Algorithms» more  SODA 2001»
13 years 8 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
3DIM
2007
IEEE
14 years 1 months ago
Light stripe triangulation for multiple of moving rigid objects
In this paper, we propose an extension of light stripe triangulation for multiple of moving rigid objects. With traditional light stripe triangulation, the acquired shape of movin...
Takuya Funatomi, Masaaki Iiyama, Koh Kakusho, Mich...
COMPGEOM
2010
ACM
14 years 16 days 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