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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

Karlsruhe-metric Voronoi diagram(Open 5/Sep/2000 : The 2nd Revision Tuesday, 18-Jun-2002 21:14:17 JST)


Karlsruhe-metric Voronoi diagram is drawn by using distance function d(p,p(i))
If 0<=s<=2, d(p,p(i))=q*e(s,s(i))+|r-r(i)|}
else d(p,p(i))=r+r(i)
where (r,s) is the polar coordinate of p, (r(i),s(i)) is the polar coordinate of p(i), |a| is a sign of absolute value, q is min(r,r(i)), e(s,s(i)) is min(|s-s(i)|,6.28-|s-s(i)|).
Java(karl.java)

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