About lacunarity, some links between fractal and integral geometry, and an application to texture segmentation

Abstract : In this work, we apply two techniques for segmentation of different states of one texture (e.g. deformations of an homogeneous texture) : - fractal geometry, that deals with the analysis of complex irregular shapes which cannot well be described by the classical Euclidean geometry - integral geometry, that treats sets globally and allows to introduce robust measures. We focus on the study of two parameters, lacunarity and Favard length, and proove a theoretical link between them. As an application, we are able to achieve automatic classification of lung diseases on the basis on SPECT images.
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Rapport
[Research Report] RR-1188, INRIA. 1990
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https://hal.inria.fr/inria-00075371
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Soumis le : mercredi 24 mai 2006 - 18:05:02
Dernière modification le : mardi 17 avril 2018 - 11:31:42
Document(s) archivé(s) le : mardi 12 avril 2011 - 22:47:49

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Jacques Lévy Véhel. About lacunarity, some links between fractal and integral geometry, and an application to texture segmentation. [Research Report] RR-1188, INRIA. 1990. 〈inria-00075371〉

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