About lacunarity, some links between fractal and integral geometry, and an application to texture segmentation
Lévy-Vehel, Jacques
HAL, inria-00614000 / Harvested from HAL
Text on HAL
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.
Publié le : 1990-12-04
Classification:  Chaos,  Diseases,  Fractals,  Geometry,  Image texture analysis,  Lungs,  Markov random fields,  Radiography,  Robustness,  Shape,  [MATH.MATH-PR]Mathematics [math]/Probability [math.PR] 
@article{inria-00614000,
     author = {L\'evy-Vehel, Jacques},
     title = {About lacunarity, some links between fractal and integral geometry, and an application to texture segmentation},
     journal = {HAL},
     volume = {1990},
     number = {0},
     year = {1990},
     language = {en},
     url = {http://dml.mathdoc.fr/item/inria-00614000}
}

Lévy-Vehel, Jacques. About lacunarity, some links between fractal and integral geometry, and an application to texture segmentation. HAL, Tome 1990 (1990) no. 0, . http://gdmltest.u-ga.fr/item/inria-00614000/