Title :
Simulation of Random Set Models for Unions of Discs and the Use of Power Tessellations
Author :
Mller, J. ; Helisova, K.
Author_Institution :
Dept. of Math. Sci., Aalborg Univ., Aalborg, Denmark
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.
Keywords :
computational geometry; random processes; stochastic processes; Laguerre diagram; heather dataset; interacting discs process; power diagram; power tessellations geometric characteristic; random set model; Computational modeling; Density measurement; Mathematical model; Mathematics; Probability distribution; Solid modeling; Statistical analysis; Stochastic processes;
Conference_Titel :
Voronoi Diagrams, 2009. ISVD '09. Sixth International Symposium on
Conference_Location :
Copenhagen
Print_ISBN :
978-1-4244-4769-5
Electronic_ISBN :
978-0-7695-3781-8
DOI :
10.1109/ISVD.2009.14
