Simulation of Random Set Models for Unions of Discs and the Use of Power Tessellations

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...

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Bibliographic Details
Main Authors: Moller, J., Helisova, K.
Format: Conference Proceeding
Language:English
Subjects:
Computational modeling
Density measurement
Mathematical model
Mathematics
Probability distribution
Solid modeling
Statistical analysis
Stochastic processes
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Summary: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.
DOI:10.1109/ISVD.2009.14