25 citations · 82 across the 18 of their papers we have counts for
8 papers · 1 filter
Analysis and Computation of Geodesic Distances on Reductive Homogeneous Spaces
Remco Duits, Gijs Bellaard, Barbara Tumpach
Many geometric machine learning and image analysis applications, require a left-invariant metric on the 5D homogeneous space of 3D positions and orientations SE(3)/SO(2). This is d…
Totally geodesic submanifolds in the manifold SPD of symmetric positive-definite real matrices
Alice Barbara Tumpach, Gabriel Larotonda
This paper is a self-contained exposition of the geometry of symmetric positive-definite real matrices , including necessary and sufficent condit…
Temporal Alignment of Human Motion Data: A Geometric Point of View
Alice Barbara Tumpach, Peter Kán
Temporal alignment is an inherent task in most applications dealing with videos: action recognition, motion transfer, virtual trainers, rehabilitation, etc. In this paper we dive i…
On canonical parameterizations of 2D-shapes
Alice Barbara Tumpach
This paper is devoted to the study of unparameterized simple curves in the plane. We propose diverse canonical parameterizations of a 2D-curve. For instance, the arc-length paramet…
Shape spaces of nonlinear flags
Ioana Ciuclea, Alice Barbara Tumpach, Cornelia Vizman
The gauge invariant elastic metric on the shape space of surfaces involves the mean curvature and the normal deformation, i.e. the sum and the difference of the principal curvature…
Quotient elastic metrics on the manifold of arc-length parameterized plane loops
Alice Barbara Tumpach, Stephen C. Preston
We study the pull-back of the 2-parameter family of quotient elastic metrics introduced in Mio-Srivastava-Joshi on the space of arc-length parameterized loops. This point of view h…
Gauge Invariant Framework for Shape Analysis of Surfaces
Alice Barbara Tumpach, Hassen Drira, Mohamed Daoudi +1
This paper describes a novel framework for computing geodesic paths in shape spaces of spherical surfaces under an elastic Riemannian metric. The novelty lies in defining this Riem…
The restricted Grassmannian, Banach Lie-Poisson spaces, and coadjoint orbits
Daniel Beltita, Tudor S. Ratiu, Alice Barbara Tumpach
We investigate some basic questions concerning the relationship between the restricted Grassmannian and the theory of Banach Lie-Poisson spaces. By using universal central extensio…