Acta Stereologica



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Patricia Jouannot & Jean-Paul Jernot

Size effects on local topological measurements

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3D structures are obtained by a random filling of the nodes of a F.C.C. network. The density of points is increased from 0 to 1 inside a given field, the field sizes ranging from 5 x 5 x 5 to 400 x 400 x 400. For each structure, the Euler-Poincaré characteristic is measured in all the spaces (R0 to R3) and studied as a function of the field size and the field shape. The shape effect in 3D space appears as a size effect in a space of lower dimension.

Keywords : 3D image analysis, Euler-Poincaré characteristic, size effects, stereological parameters

To cite this article

Patricia Jouannot & Jean-Paul Jernot, «Size effects on local topological measurements», Acta Stereologica [En ligne], Volume 12 (1993), Number 2 - Proceedings of the sixth European congress for stereology - Part one - Dec. 1993, 197-202 URL :

About: Patricia Jouannot

LERMAT, URA CNRS 1317, ISMRA, 14050 Caen Cedex, France

About: Jean-Paul Jernot

LERMAT, URA CNRS 1317, ISMRA, 14050 Caen Cedex, France