Proximal Voronoï Regions

2014/11/13 by J. F. Peters, Peters, J. F.
Mathematics · #52C20 #52C22 #54E05 #65D18 #FOS: Mathematics #Metric Geometry (math.MG) #math.MG #msc:52C20 #msc:52C22 #msc:54E05 #msc:65D18

paper · pdf · doi:10.48550/arxiv.1411.3570

4 pages, 1 figure

arxiv created 2014/11/13 · arxiv updated 2014/11/14

Abstract

A main result in this paper is the proof that proximal Voronoï regions are convex polygons. In addition, it is proved that every collection of proximal Voronoï regions has a Leader uniform topology.

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