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» On the Construction of Abstract Voronoi Diagrams
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STOC
2002
ACM
119views Algorithms» more  STOC 2002»
14 years 8 months ago
Space-efficient approximate Voronoi diagrams
Given a set S of n points in IRd , a (t, )-approximate Voronoi diagram (AVD) is a partition of space into constant complexity cells, where each cell c is associated with t represe...
Sunil Arya, Theocharis Malamatos, David M. Mount
SMA
2008
ACM
182views Solid Modeling» more  SMA 2008»
13 years 8 months ago
Voronoi diagram computations for planar NURBS curves
We present robust and efficient algorithms for computing Voronoi diagrams of planar freeform curves. Boundaries of the Voronoi diagram consist of portions of the bisector curves b...
Joon-Kyung Seong, Elaine Cohen, Gershon Elber
CCCG
2001
13 years 10 months ago
Line voronoi diagram based interpolation and application to digital terrain modelling
Local coordinates based on the Voronoi diagram are used in natural neighbour interpolation to quantify the "neighbourliness" of data sites. In an earlier paper, we have ...
Francois Anton, Darka Mioc, Christopher M. Gold
COMPGEOM
2005
ACM
13 years 10 months ago
The Visibility-Voronoi Complex and Its Applications
We introduce a new type of diagram called the VV(c)-diagram (the visibility–Voronoi diagram for clearance c), which is a hybrid between the visibility graph and the Voronoi diag...
Ron Wein, Jur P. van den Berg, Dan Halperin
DIAGRAMS
2006
Springer
14 years 6 days ago
Exploring the Notion of 'Clutter' in Euler Diagrams
Abstract. Euler diagrams are an effective and intuitive way of representing relationships between sets. As the number of sets represented grows, Euler diagrams can become `cluttere...
Chris John, Andrew Fish, John Howse, John Taylor