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Voronoi
diagrams
(Automatic
version)
OrdinaryMultiplicatively WeightedAdditively WPW(additively Weighted Power)Compoundly WLW(L_{weight} norm)
Higher-order HMWHAWHPWHCWHLW
EllipticManhattanSupremumKarlsruheFarthest-point
HEllipticHManhattan
Farthest-Point Manhattan
HSupremumHKarlsruhe
line-segmentline-segments sometimes cross each otherline-segments need to cross each other
Higher order line-segmentHigher order line-segment
(segnebts sometimes cross each other)
Higher order line-segment
(segments need to cross each other)
Area of Voronoi RegionDelaunay Tessellationorder-2 DelaunayOrder-3 DelaunayFarthest Delaunay
Voronoi
diagrams
(Click
version)
Ordinary-
Higher-order
-ManhattanSupremumKarlsruheFarthest-point
HManhattan
Farthest-Point Manhattan
HSupremumHKarlsruhe
Area of Voronoi RegionDelaunay Tessellationorder-2 DelaunayOrder-3 DelaunayFarthest Delaunay
CW, LW and Karlsruhe are very heavy.
Screensaver for Win 95,98

Additively weighted Voronoi diagram(Open 5/Sep/2000 : The 1st Revision Tuesday, 18-Jun-2002 21:14:10 JST)


Additively weighted Voronoi diagram is drawn by using distance function d(p,p(i))
d(p,p(i))=dis(p,p(i))-w(i)
where dis is Euclidean distance and w(i) is the weight of p(i).
An edge is generally a hyperbolic arc.
Java(awvoro.java)

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