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Fitting Voronoi Diagrams to Planar Tesselations

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 نشر من قبل Hebert P\\'erez-Ros\\'es PhD
 تاريخ النشر 2013
  مجال البحث الهندسة المعلوماتية
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Given a tesselation of the plane, defined by a planar straight-line graph $G$, we want to find a minimal set $S$ of points in the plane, such that the Voronoi diagram associated with $S$ fits $G$. This is the Generalized Inverse Voronoi Problem (GIVP), defined in cite{Trin07} and rediscovered recently in cite{Baner12}. Here we give an algorithm that solves this problem with a number of points that is linear in the size of $G$, assuming that the smallest angle in $G$ is constant.



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