Stefan Horst Sommer
University of Copenhagen
17/11/2021 – h. 4 p.m.
Bio: Stefan is a professor at University of Copnehagen. His main research interests are Image Analysis, Computational Modelling and Geometry.
Title: Stochastic shape analysis and probabilistic geometric statistics
Abstract: Analysis and statistics of shape variation can be formulated in
geometric settings with geodesics modelling transitions between shapes.
The talk will concern extensions of these smooth geodesic models to
account for noise and uncertainty: Stochastic shape processes and
stochastic shape matching algorithms. In the stochastic setting,
matching algorithms take the form of bridge simulation schemes which
also provide approximations of the transition density of the stochastic
shape processes. The talk will cover examples of stochastic shape
processes and connected bridge simulation algorithms. I will connect
these ideas to geometric statistics, particularly to the diffusion mean.
