EULER-POINCARE CHARACTERISTIC OF A RANDOMLY FILLED 3-DIMENSIONAL NETWORK

Authors
JERNOT JP JOUANNOT P
Citation
Jp. Jernot et P. Jouannot, EULER-POINCARE CHARACTERISTIC OF A RANDOMLY FILLED 3-DIMENSIONAL NETWORK, Journal of Microscopy, 171, 1993, pp. 233-237
Citations number
13
Categorie Soggetti
Microscopy
Journal title
Journal of Microscopy → ACNP
ISSN journal
00222720
Volume
171
Year of publication
1993
Part
3
Pages
233 - 237
Database
ISI
SICI code
0022-2720(1993)171:<233:ECOARF>2.0.ZU;2-9
Abstract
The random filling of a. three-dimensional face-centred cubic network is simulated on a computer at increasing densities between 0 and 1. Th e Euler-Poincare characteristic (for the spaces R0, R1, R2 and R3) is then measured on all the simulated structures. A quantitative descript ion of this simple densification process is obtained and the maxima ob served correspond to the highest values practically attainable for the stereological parameters.