LOCAL STEREOLOGY OF EXTREMES

Local stereology uses information obtained from central sections passing through a reference point of the particle.The aim of this paper is to investigate the prediction of extremes of shape and size parameters based on the central sections. We consider the particle population formed by spheroids (either prolate or oblate) and assume that the reference point is the centre of the spheroid. A relation between shape and size parameters of the particles and their planar sections is derived and consequently stability properties of the domain of attractions are proved.