6533b837fe1ef96bd12a1d45
RESEARCH PRODUCT
On the orientational analysis of planar fibre systems from digital images
Salme KärkkäinenEva B. Vedel JensenDominique Jeulinsubject
Rose (mathematics)Histologybusiness.industryBinary numberGeometryGrayscalePathology and Forensic MedicineDigital imageOpticsPlanarLine (geometry)Point (geometry)businessVariogramMathematicsdescription
The orientational characteristics of fibres in digital images are studied. The fibres are modelled by a planar Boolean model whose typical grain is a thick (coloured) fibre. The aim is to make stereological inference on the rose of directions of the unobservable central fibres from observations made on a digital image of the thick fibres. For central fibres, the relation between the rose of directions and the point intensity, observed on a sampling line, is known. We derive, under regularity conditions, the relation between the unobservable point intensity and the scaled variogram observed on the line in a binary and a greyscale image. Using such a relation, it is possible to draw inference about the rose of directions from the scaled variogram, which is easy and quick to determine in a digital image.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2002-07-24 | Journal of Microscopy |