This minisymposium will focus on fundamental and applied aspects of shape analysis. Shape analysis remains one of the key problems to applications ranging from automatic object recognition to the field of biomedical imaging in which datasets typically involve multiple geometric structures with morphological variability. Modern methods are at the intersection of several fields in mathematics that span finite and infinite dimensional geometry, optimal control, optimal transport and statistical data analysis. The objective of the mininisymposium is to bring together researchers covering those multiple aspects to present recent ideas in the field and discuss new directions of interest for the community.

Barycentric Subspace Analysis, a generalisation of PCA to Manifolds

Xavier Pennec (Université Côte d'Azur and Inria)

Generalizations of Wasserstein metric and their applications to shape matching

François-Xavier Vialard (University Paris-Dauphine)

LDDMM models of a heart contraction

Sylvain Arguillere (Institut Camille Jordan)

Regularized optimal mass transport with applications to density matching

Martin Bauer (Florida State University)

Organizers:

Martin Bauer (Florida State University)

Nicolas Charon (Johns Hopkins University)

Keywords:

computer graphics, computer vision, image registration, image segmentation, nonlinear optimization, partial differential equation models