Stereological determination of the second moment of mean curvature

摘要

In this note smooth surface processes and their sections with planes are considered. A formula is given which enables the determination of the second moment M2of the mean curvature in a “typical” surface point by using the second moment k2of curvature in a “typical” fibre point in the section plane and the mean Gaussian curvature G. It is a generalisation of a formula given by SALTYKOV Methods for the statistical estimation of k2are suggested