Acta Stereologica

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Silvia Blacher & François Brouers

Multiscaling and multifractality in image analysis

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Abstract

This paper contains a contribution to the problem of the multifractal characterisation of complex structures arising in image analysis. The early spinodal decomposition of Cahn (Cahn, l965) has been used to illustrate the approach. This model, resulting from a purely random process, contains a characteristic length scale λ and is by construction a non (multi)-fractal object. It is shown that a blind use of the box counting method may lead to spurious multifractal curve, while the scaling of the information entropy provides a method to characterize the morphology of the model.

Keywords : heterogeneous materials, morphology, multifractal, multiscaling

To cite this article

Silvia Blacher & François Brouers, «Multiscaling and multifractality in image analysis», Acta Stereologica [En ligne], Volume 13 (1994), Number 1 - Proceedings of the sixth European congress for stereology - Part two - May 1994, 169-175 URL : https://popups.ulg.ac.be/0351-580x/index.php?id=1086.

About: Silvia Blacher

Génie Chimique, Institut de Chimie, Liège University, B4000 Belgium

About: François Brouers

Physique des Matériaux, Institut de Physique, Liège University, B4000 Belgium