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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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https://hal.inria.fr/inria-00614000
Contributor : Lisandro Fermin <>
Submitted on : Monday, August 8, 2011 - 3:09:53 PM
Last modification on : Friday, May 25, 2018 - 12:02:05 PM

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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. pp.380-384, ⟨10.1109/ICCV.1990.139556⟩. ⟨inria-00614000⟩

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