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

Jacques Lévy-Vehel 1
1 SYNTIM - Image Analysis and Synthesis
Inria Paris-Rocquencourt
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.
Type de document :
Communication dans un congrès
ICCV'90 - Third International Conference on Computer Vision, Dec 1990, Osaka, Japan. IEEE, pp.380-384, 1990, 〈10.1109/ICCV.1990.139556〉
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https://hal.inria.fr/inria-00614000
Contributeur : Lisandro Fermin <>
Soumis le : lundi 8 août 2011 - 15:09:53
Dernière modification le : vendredi 25 mai 2018 - 12:02:05

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Jacques Lévy-Vehel. About lacunarity, some links between fractal and integral geometry, and an application to texture segmentation. ICCV'90 - Third International Conference on Computer Vision, Dec 1990, Osaka, Japan. IEEE, pp.380-384, 1990, 〈10.1109/ICCV.1990.139556〉. 〈inria-00614000〉

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