Function and shape data analysis are old topics in statistics, studied off and on over the last
several decades. However, the early years of the new millennium saw a renewed focus and …

Visual observations of dynamic phenomena, such as human actions, are often represented
as sequences of smoothly-varying features. In cases where the feature spaces can be …

In this article, we introduce a family of elastic metrics on the space of parametrized surfaces
in 3D space using a corresponding family of metrics on the space of vector-valued one …

Statistical analysis of dynamic systems, such as videos and dynamic functional connectivity,
is often translated into a problem of analyzing trajectories of relevant features, particularly …

This chapter reviews some past and recent developments in shape comparison and
analysis of curves based on the computation of intrinsic Riemannian metrics on the space of …

This paper focuses on the study of open curves in a Riemannian manifold M, and proposes
a reparametrization invariant metric on the space of such paths. We use the square root …

The aim of this paper is to find an optimal matching between manifold-valued curves, and
thereby adequately compare their shapes, seen as equivalent classes with respect to the …

The problems of analysis and modeling of spherical trajectories, that is, continuous
longitudinal data on S 2, are important in several disciplines. These problems are …

This paper studies change-points in human brain functional connectivity (FC) and seeks
patterns that are common across multiple subjects under identical external stimulus. FC …

Of concern is the study of the space of curves in homogeneous spaces. Motivated by
applications in shape analysis we identify two curves if they only differ by their …