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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-00075371
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Submitted on : Wednesday, May 24, 2006 - 6:05:02 PM
Last modification on : Friday, February 4, 2022 - 3:13:13 AM
Long-term archiving on: : Tuesday, April 12, 2011 - 10:47:49 PM

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  • HAL Id : inria-00075371, version 1

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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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