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Fitting Voronoi diagrams to planar tesselations

par Aloupis, Greg ;Pérez-Rosés, Hebert;Pineda-Villavicencio, Guillermo;Taslakian, Perouz ;Trinchet-Almaguer, Dannier
Référence Lecture notes in computer science, 8288 LNCS, page (349-361)
Publication Publié, 2013

Article révisé par les pairs

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Résumé :

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 [12] and rediscovered recently in [3]. 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. © 2013 Springer-Verlag.