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Granular porometry and fibrous structures
Author(s) -
Calonnier M.,
Laget B.
Publication year - 1988
Publication title -
journal of microscopy
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.569
H-Index - 111
eISSN - 1365-2818
pISSN - 0022-2720
DOI - 10.1111/j.1365-2818.1988.tb04636.x
Subject(s) - tortuosity , turbulence , section (typography) , segmentation , geometry , mathematical analysis , mathematics , physics , statistical physics , mechanics , computer science , porosity , geology , artificial intelligence , geotechnical engineering , operating system
SUMMARY The purpose of this paper is to set up a new theoretical model of a fibrous structure in its filtering function. After the segmentation, using morphological transforms, of an image of a longitudinal cross‐section two models of penetration in the structure are proposed. They are developed from results of integral geometry like the Blaschke formula. These two approaches use different propagation laws: (1) gravitational transition; (2) turbulent flow transition. Finally, two sequences of coefficients are obtained characterizing a new vertical tortuosity law.