Open AccessPLANAR SECTIONS THROUGH THREE-DIMENSIONAL LINE-SEGMENT PROCESSES
Author(s) -
Sascha Djamal Matthes,
Dietrich Stoyan
Publication year - 2014
Publication title -
image analysis and stereology
Language(s) - English
Resource type - Journals
eISSN - 1854-5165
pISSN - 1580-3139
DOI - 10.5566/ias.v33.p55-64
Subject(s) - line segment , planar , geometry , section (typography) , plane (geometry) , line (geometry) , orientation (vector space) , distribution (mathematics) , mathematics , mathematical analysis , computer science , computer graphics (images) , operating system
This paper studies three-dimensional segment processes in the framework of stochastic geometry. The main objective is to find relations between the characteristics of segment processes such as orientation- and length-distribution, and characteristics of their sections with planes. Formulae are derived for the distribution of segment lengths on both sides of the section plane and corresponding orientations, where it is permitted that there are correlations between the angles and lengths of the line-segments