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Rotational integral geometry and its applications in stereology

Eva B. Vedel Jensen
(Department of Mathematics, Aarhus University)
Thieleseminar
Torsdag, 26 februar, 2015, at 13:15-14:00, in Koll. G (1532-214)
Abstrakt:

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.

Organiseret af: The T.N. Thiele Centre
Kontaktperson: Søren Asmussen