PLANAR SECTIONS THROUGH THREE-DIMENSIONAL LINE-SEGMENT PROCESSES

被引：2

作者：

Matthes, Sascha Djamal ^{[1
]}

Stoyan, Dietrich ^{[2
]}

机构：

[1] Tech Univ Bergakad Freiberg, Inst Keram Glas & Baustofftech, D-09596 Freiberg, Germany

[2] Tech Univ Bergakad Freiberg, Inst Stochast, D-09596 Freiberg, Germany

来源：

IMAGE ANALYSIS & STEREOLOGY | 2014年 / 33卷 / 01期

关键词：

fibre process; fibre-reinforced materials; line-segment process; stereology; stochastic geometry; FIBER-REINFORCED THERMOPLASTICS; BRITTLE-MATRIX COMPOSITES; LENGTH; ORIENTATION;

D O I：

10.5566/ias.v33.p55-64

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页码：55 / 64

页数：10

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