MOMENTS OF THE LENGTH OF LINE SEGMENTS IN HOMOGENEOUS PLANAR STIT TESSELLATIONS

MOMENTS OF THE LENGTH OF LINE SEGMENTS IN HOMOGENEOUS PLANAR STIT TESSELLATIONS

Homogeneous planar tessellations stable under iteration (STIT tessellations) are considered. Using recent results about the joint distribution of direction and length of the typical I-, K- and J-segment we prove closed formulas for the first, second and higher moments of the length of these segments...

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Bibliographic Details
Main Author: Christoph Thäle
Format: Article
Language:English
Published: Slovenian Society for Stereology and Quantitative Image Analysis 2011-05-01
Series:Image Analysis and Stereology
Subjects:
conditional distribution
iteration (nesting)
linear segments
mean value relation
moments
random tessellation
stability
stochastic geometry
Online Access:http://www.ias-iss.org/ojs/IAS/article/view/850

Internet

http://www.ias-iss.org/ojs/IAS/article/view/850

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