Acta Stereologica Acta Stereologica -  Volume 9 (1990)  Number 1 - Proceedings of the fifth European congress for stereology - Part three - June 1990 

On the covariance of the boundary of a set

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

Abstract

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 : https://popups.ulg.ac.be/0351-580x/index.php?id=2743.