Acta Stereologica



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Werner Nagel

On the covariance of the boundary of a set

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A generalization of the set covariance is considered which may be appropriate to describe second-order properties of the boundary of a set, such as anisotropies or clustering. A stereological formula is derived which requires observations on pairs of test lines and avoids the measurement of angles.

Keywords : Crofton's formula, integral geometry, set covariance, stereology

To cite this article

Werner Nagel, «On the covariance of the boundary of a set», Acta Stereologica [En ligne], Volume 9 (1990), Number 1 - Proceedings of the fifth European congress for stereology - Part three - June 1990, 91-95 URL :

About: Werner Nagel

Friedrich-Schiller-Universitaet Jena, Sektion Mathematik, UHH 17.OG, Jena, DDR-6900