DocumentCode
2800990
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
fYear
2009
fDate
23-26 June 2009
Firstpage
99
Lastpage
108
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;
fLanguage
English
Publisher
ieee
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
Type
conf
DOI
10.1109/ISVD.2009.14
Filename
5362397
Link To Document