Bernoulli cluster field: Voronoi tessellations

0175145 - MU-W 20020028 RIV CZ eng J - Journal Article
Saxl, Ivan - Ponížil, P.
Bernoulli cluster field: Voronoi tessellations.
Applications of Mathematics. Roč. 47, č. 2 (2002), s. 157-167. ISSN 0862-7940. E-ISSN 1572-9109.
[Programs and Algorithms of Numerical Mathematics (PANMď00). Lázně Libverda, 12.06.2000-16.06.2000]
R&D Projects: GA ČR GA201/99/0269; GA MŠMT PG96108
Keywords : cluster point process%Voronoi tessellation%induced tessellation
Subject RIV: BE - Theoretical Physics

A new point process is proposed which can be viewed either as a Boolean cluster model with two cluster modes or as p-thinned Neyman-Scott cluster process with the retention of the original parent point. Voronoi tessellation generated by such a point process has extremely high coefficients of variation of cell volumes as well as of profile areas and lengths in the planar and line induced tessellations. An approximate numerical model of tessellation characteristics is developed for the case of small cluster..
Permanent Link: http://hdl.handle.net/11104/0072132