Characterization of planar local arrangement by means of the Delaunay neighbourhood

被引:20
作者
Bertram, M
Wendrock, H
机构
[1] Institute of Solid State and Materials Research (IFW) Dresden e.V., D-01069 Dresden
来源
JOURNAL OF MICROSCOPY-OXFORD | 1996年 / 181卷
关键词
image analysis; dirichlet tessellation; Delaunay triangulation; stochastic geometry; germ-grain models; neighbourhood;
D O I
10.1046/j.1365-2818.1996.93374.x
中图分类号
TH742 [显微镜];
学科分类号
摘要
A suitable procedure is presented to characterize the neighbourhood in disperse micro-structures by measuring the Delaunay neighbour distances and neighbour numbers. Results are discussed from simulation experiments with three germ-grain models, regular arrangements and a seam-lice model. A plot of variation coefficients is suggested to differentiate between various random distributions of particles.
引用
收藏
页码:45 / 53
页数:9
相关论文
共 18 条
[1]   THE ARRANGEMENT OF CELLS IN A NET .4. [J].
ABOAV, DA .
METALLOGRAPHY, 1985, 18 (02) :129-147
[2]   VORONOI STATISTICS OF HARD-CORE SYSTEMS [J].
FRASER, DP .
MATERIALS CHARACTERIZATION, 1991, 26 (02) :73-83
[3]   CELL-AREA DISTRIBUTIONS OF PLANAR VORONOI MOSAICS [J].
HERMANN, H ;
WENDROCK, H ;
STOYAN, D .
METALLOGRAPHY, 1989, 23 (03) :189-200
[4]  
HERMANN H, 1991, MATER SCI FORUM, V78
[5]  
Hubel R., 1994, Praktische Metallographie, V31, P326
[6]   PROPERTIES OF A 2-DIMENSIONAL POISSON-VORONOI TESSELATION - A MONTE-CARLO STUDY [J].
KUMAR, S ;
KURTZ, SK .
MATERIALS CHARACTERIZATION, 1993, 31 (01) :55-68
[7]  
LAFERTY DR, 1993, QUANTIMET NEWS REV, V7, P8
[8]   ARRANGEMENT OF CELLS IN VORONOI TESSELLATIONS OF MONOSIZE PACKING OF DISKS [J].
LEMAITRE, J ;
GERVOIS, A ;
TROADEC, JP ;
RIVIER, N ;
AMMI, M ;
OGER, L ;
BIDEAU, D .
PHILOSOPHICAL MAGAZINE B-PHYSICS OF CONDENSED MATTER STATISTICAL MECHANICS ELECTRONIC OPTICAL AND MAGNETIC PROPERTIES, 1993, 67 (03) :347-362
[9]  
MILES R E, 1970, Mathematical Biosciences, V6, P85, DOI 10.1016/0025-5564(70)90061-1
[10]  
OHSER J, 1990, THESIS BERGAKADEMIE