25 citations · 82 across the 18 of their papers we have counts for
19 papers
Varifold Moment Invariants for Sustainable and Explainable Contour Feature Extraction
G. Longari, J. -C. Alvarez Paiva, A. B. Tumpach
We introduce Varifold Moments Invariants (VMI) as a unifying framework for many previously introduced Moment Invariants. These invariants are deeply related to other contour featur…
Geometric Learning of Canonical Parameterizations of -curves
Ioana Ciuclea, Giorgio Longari, Alice Barbara Tumpach
Most datasets encountered in computer vision and medical applications present symmetries that should be taken into account in classification tasks. A typical example is the symmetr…
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…
Geometry of Integrable Systems Related to the Restricted Grassmannian
Tomasz Goliński, Alice Barbara Tumpach
A hierarchy of differential equations on a Banach Lie-Poisson space related to the restricted Grassmannian is studied. Flows on the groupoid of partial isometries and on the restri…
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…
The restricted Siegel disc as coadjoint orbit
François Gay-Balmaz, Tudor S. Ratiu, Alice B. Tumpach
The restricted Siegel disc is a homogeneous space related to the connected component of the Universal Teichmüller space via the period mapping. In this paper we show that…