Johanna Ziegel

Université de Berne


Local stereology of tensors

This is joint work with Eva B. Vedel Jensen
Local stereology is widely used in the biosciences. It provides methods to estimate quantitative properties of spatial structures such as volume or surface area from measurements performed on sections passing through fixed points. Minkowski tensors are generalisations of intrinsic volumes. They provide information about size, shape and orientation of spatial structures. We present local stereological estimators for Minkowski tensors. In this general framework, many well-known local stereological estimators of volume and surface area appear as special cases, but there are also new estimators, for example for the centre of gravity and tensors of rank two.