Abstract
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.
Mathematics Subject Classification: 52C45, 65D18, 68U05.
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Aloupis, G., Pérez-Rosés, H., Pineda-Villavicencio, G., Taslakian, P., Trinchet-Almaguer, D. (2013). Fitting Voronoi Diagrams to Planar Tesselations. In: Lecroq, T., Mouchard, L. (eds) Combinatorial Algorithms. IWOCA 2013. Lecture Notes in Computer Science, vol 8288. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45278-9_30
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