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

Jesper Møller, Katerina Helisová

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Abstract

The power tessellation (or power diagram or Laguerre diagram) turns out to be particular useful in connection to a certain class of stochastic models for a disc process used for generating a random set model. We discuss how to simulate these models and calculate various characteristics of power tessellations, where some new relations are established. The proposed model is fitted to a heather dataset.
Original languageEnglish
Place of PublicationAalborg
PublisherDepartment of Mathematical Sciences, Aalborg University
Number of pages10
Publication statusPublished - 2009
SeriesResearch Report Series
NumberR-2009-05
ISSN1399-2503

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