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Unformatted text preview: r s X [ d Di nd Y [1 .. n
Nearest Nieighboayho o1 .. n] aagrams ]. We will represent the convex hull
vertices in counterclockwise order. if the ith p oint is a vertex of the conv
the next vertex counterclockwise and pr ed[i] is the index of the next ve
Computational Geometry
Lecture 12: Delaunay Triangulations
Windowing
next[i] = pr ed[i] = 0. It doesn’t matter which vertex we choose as th
cis on t se t ver ice
GeometricdeInitero lisctiotnss counterclockwise instead of clockwise is arbitrary
To simplify the presentation of the convex hull algorithms, I will assu
general position, meaning (in this context) that no three points lie on a
like assuming that no two elements are equal when we talk ab out sorting
to ea l
Range Querrielsy implement these algorithms, we would have to handle colinear t
consistently. This is fairly easy, but deﬁnitely not trivial.
Motivation
Interval trees
Priority search trees ✦ Windowing queries Computational Geometry ✦ E.2 Simple Cases Lecture 10: Voronoi diagrams Any convex prop er subset of the convex hull excludes at least one p
at every vertex of the con...
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 Fall '08
 UNGOR
 Algorithms, Data Mining, Databases

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