1949 KB0 KB200020242009Delisée, ChristineJeulin, DominiqueMalvestio, JérômePeyrega, Charles13 straniletnik:28številka:3str. 129-141ISSN:1580-3139COBISSID:26423257URN:URN:NBN:SI:doc-1PJ46IBPenDruštvo za stereologijo in kvantitativno analizo slike, Medicinska fakultetaImage analysis and stereologycelulozamatematični modelipreiskava materialaračunalniška tomografijavlakna3D morphological modelling of a random fibrous network|In the framework of the Silent Wall ANR project, the CMM and the US2B are associated in order to characterize and to model fibrous media studying 3D images acquired with an X-Ray tomograph used by the US2B. The device can make 3D images of maximal 23043 voxels with resolutions in the range of 2 `m to 15 gym. Using mathematical morphology, measurements on the 3D X-Ray CT images areused to characterize materials. For example measuring the covariance on these images of an acoustic insulating material made of wooden fibres highlights the isotropy of the fibres orientations in the longitudinal planes which are perpendicular to the compression Oz axis. Moreover, it is possible to extract other morphological properties from these image processing methods such as the size distribution either of the fibres or of the pores by estimating the morphological opening granulometry of the considered medium. Using the theory of random sets introduced by Georges Matheron in the early 1970''s, the aim of this work is to model such a fibrous material by parametricrandom media in 3D according to the prior knowledge of its morphological properties (covariance, porosity, size distributions, etc.). A Boolean model of random cylinders in 3D stacked in planes parallel to each other and perpendicular to the Oz compression axis is first considered. The granulometry results provide gamma distributions for the radii of the fibres. In addition, a uniform distriburion of the orientarions is chosen, according to the experimental isotropy measurements in the longitudinal planes. Finally the third statistical factor is the length distribution of the fibres which can be fitted by an exponential distribution. (Abstract truncated at 2000 characters)TEXTznanstveno časopisjejournalsSlovenian National E-content AggregatorNational and University Library of SloveniaDruštvo za stereologijo in kvantitativno analizo slike