5 citations · 5 across the 4 of their papers we have counts for
4 papers
Manifolds of vortex loops as coadjoint orbits
Ioana Ciuclea, Cornelia Vizman
We study a class of coadjoint orbits of the area preserving diffeomorphism group of the plane consisting of vortex loops, namely closed curves in the plane decorated with one-forms…
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…
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…
Pointed vortex loops in ideal 2D fluids
Ioana Ciuclea, Cornelia Vizman
We study a special kind of singular vorticities in ideal 2D fluids that combine features of point vortices and vortex sheets, namely pointed vortex loops. We focus on the coadjoint…