Simulation of random set models for unions of discs and the use of power tessellations

Jesper Møller, Katerina Helisova

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Abstract

The power tessellation (or power diagram or Laguerre diagram) turns out to be particularly useful in connection to a flexible class of random set models specified by an underlying process of interacting discs. We discuss how to simulate these models and calculate various geometric characteristics of power tessellations, where new relations for the characteristics are established. The proposed model is fitted to a heather dataset.
OriginalsprogEngelsk
Titel2009 Sixth International Symposium on Voronoi Diagrams (ISVD 2009)
RedaktørerHale Erten et al. (Eds.)
Antal sider10
ForlagIEEE Computer Society Press
Publikationsdato2009
Sider99-108
ISBN (Trykt)978-97-643-0497-8
DOI
StatusUdgivet - 2009
BegivenhedISVD 2009 - Lyngby, Danmark
Varighed: 23 jun. 200926 jun. 2009
Konferencens nummer: 6

Konference

KonferenceISVD 2009
Nummer6
Land/OmrådeDanmark
ByLyngby
Periode23/06/200926/06/2009

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