Acta Stereologica Acta Stereologica -  Volume 6 (1987)  Supplement II (The commemorative-memorial volume: twenty-five years of stereology) - May 1987 

Importance of the connectivity numbers in quantitative image analysis

Michel Coster
Equipe Matériaux-Microstructure du Laboratoire de Cristallographie, Chimie et Physique des Solides, U.A.251-ISMRa-Université, 14032 Caen Cedex, France
Jean-Paul Jernot
Equipe Matériaux-Microstructure du Laboratoire de Cristallographie, Chimie et Physique des Solides, U.A.251-ISMRa-Université, 14032 Caen Cedex, France
Jean-Louis Chermant
Equipe Matériaux-Microstructure du Laboratoire de Cristallographie, Chimie et Physique des Solides, U.A.251-ISMRa-Université, 14032 Caen Cedex, France

Abstract

Microstructure is often described quantitatively in two dimensional space from measurements on sections. But the morphology of materials must be defined in three dimensional space. In this paper we present the different parameters allowing to describe quantitatively a structure in three dimensional space without any hypothesis.

Keywords : connectivity number, Euler-Poincaré constants, three dimensional space analysis

To cite this article

Michel Coster, Jean-Paul Jernot & Jean-Louis Chermant, «Importance of the connectivity numbers in quantitative image analysis», Acta Stereologica [En ligne], Volume 6 (1987), Supplement II (The commemorative-memorial volume: twenty-five years of stereology) - May 1987, 123-131 URL : https://popups.ulg.ac.be/0351-580x/index.php?id=2219.