Riemannian manifold plays a vital role as a powerful mathematical tool in computer vision,
with important applications in curved shape analysis and classification. Significant progress …

Recent developments in elastic shape analysis (ESA) are motivated by the fact that it
provides a comprehensive framework for simultaneous registration, deformation, and …

Abstract We present Basis Restricted Elastic Shape Analysis (BaRe-ESA), a novel
Riemannian framework for human body scan representation, interpolation and …

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 …

Surface comparison and matching is a challenging problem in computer vision. While elastic
Riemannian metrics provide meaningful shape distances and point correspondences via the …

The shape space considered in this article consists of surfaces embedded in, that are
decorated with curves. It is a special case of the Fréchet manifolds of nonlinear flags, ie …

In this paper we address the task of the comparison and the classification of 3D shape
sequences of human. The non-linear dynamics of the human motion and the changing of the …

We propose a novel framework for comparing 3D human shapes under the change of shape
and pose. This problem is challenging since 3D human shapes vary significantly across …

This paper introduces a new framework for surface analysis derived from the general setting
of elastic Riemannian metrics on shape spaces. Traditionally, those metrics are defined over …

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 …