Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-23T14:59:35.676Z Has data issue: false hasContentIssue false
  • English
  • Français

Further random tessellations with the classic Poisson polygon distributions

Published online by Cambridge University Press:  01 July 2016

Roger E. Miles  and
Margaret S. Mackisack
Roger E. Miles
Affiliation:
Australian National University
Margaret S. Mackisack
Affiliation:
University of Queensland
Get access Rights & Permissions [Opens in a new window]

Extract

It is well-known that Poisson lines in the plane, with orientation distribution Θ on [0, π), generate a (random) tessellation M0 of (random) convex polygons whose characteristics (area, perimeter, etc.) conform, in an ergodic sense, to a certain class {DΘ} of distributions.

Type
Stochastic Geometry and Statistical Applications
Information
Advances in Applied Probability , Volume 28 , Issue 2 , June 1996 , pp. 338 - 339
Copyright
Copyright © Applied Probability Trust 1996 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

[1] Arak, T., Clifford, P. and Surgailis, D. (1993) Point-based polygonal models for random graphs. Adv. Appl. Prob. 25, 348–372.CrossRefGoogle Scholar
[2] Serra, J. (1982) Image Analysis and Mathematical Morphology. Academic Press, London.Google Scholar