Geometric frameworks for analyzing curves are common in applications as they focus on
invariant features and provide visually satisfying solutions to standard problems such as …

In this thesis, we will provide a Finslerian point of view on several objects of classical
information geometry. Therefore we will generalize the Fisher-Rao metric to a family of …

In this work, we study the geodesics of the space of certain geometrically and physically
motivated subspaces of the space of immersed curves endowed with a first order Sobolev …

The square root velocity transform is a powerful tool for the efficient computation of distances
between curves. Also, after factoring out reparametrisations, it defines a distance between …

In the square root velocity framework and similar approaches, the computation of shape
space distances and the registration of curves requires the solution of a nonconvex …

Time series are prevalent in biomedical applications where they frequently display recurring
or abnormal patterns that hold significant information for statistical analysis. A notable …

This thesis, conducted in collaboration with MocapLab, a company specializing in motion
capture, aims to determine the optimal mathematical framework and relevant descriptors for …