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MaPhySto
Centre for Mathematical Physics and Stochastics
Department of Mathematical Sciences, University of Aarhus

Funded by The Danish National Research Foundation

MPS-RR 2001-44
December 2001




On the Oriental Analysis of Boolean Fibres from Digital Images

by:

Eva B. Vedel Jensen

Salme Kärkkäinen, Dominique Jeulin

Abstract

The orientational characteristics of fibres in digital images are studied. The fibres are modelled by a planar Boolean model whose typical grain is a thickened (coloured) fibre. The aim is to make stereological inference on the rose of directions of 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 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 fast to determine in a digital image.

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This paper has now been published in J. Microsc. 207, 69--77 (2003)