On the Structure of Higher Order Voronoi Cells

Juan Enrique Martinez-Legaz, Vera Roshchina () and Maxim Todorov ()
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Vera Roshchina: UNSW Sydney
Maxim Todorov: UDLAP

Journal of Optimization Theory and Applications, 2019, vol. 183, issue 1, No 2, 24-49

Abstract: Abstract The classic Voronoi cells can be generalized to a higher order version by considering the cells of points for which a given k-element subset of the set of sites consists of the k closest sites. We study the structure of the k-order Voronoi cells and illustrate our theoretical findings with a case study of two-dimensional higher order Voronoi cells for four points.

Keywords: Higher order Voronoi cells; Structure of Voronoi cells (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-019-01555-2

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