Eva B. Vedel Jensen (Aauruhs University)

Rotational integral geometry and its applications in stereology
 
The aim of this talk is to give a review of rotational integral geometry and its applications in
stereology. In rotational integral geometry, the focus is on integrals of geometric functionals 
with respect to rotation invariant measures. We will study rotational integrals of intrinsic volumes 
as well as the opposite problem of expressing intrinsic volumes as rotational integrals. Intrinsic 
volumes can be expressed as integrals with respect to geometric functionals defined on lower dimensional 
sections. Rotational integral geometry of Minkowski tensors will also be shortly discussed. Finally, 
we will show how these tools can be used to develop stereological estimators of geometric functionals.