303 citations · 717 across the 42 of their papers we have counts for
4 papers · 1 filter
Shape analysis on Lie groups and homogeneous spaces
Elena Celledoni, Sølve Eidnes, Markus Eslitzbichler +1
In this paper we are concerned with the approach to shape analysis based on the so called Square Root Velocity Transform (SRVT). We propose a generalisation of the SRVT from Euclid…
Energy-Preserving and Passivity-Consistent Numerical Discretization of Port-Hamiltonian Systems
Elena Celledoni, Eirik Hoel Høiseth
In this paper we design discrete port-Hamiltonian systems systematically in two different ways, by applying discrete gradient methods and splitting methods respectively. The discre…
Shape analysis on homogeneous spaces: a generalised SRVT framework
Elena Celledoni, Sølve Eidnes, Alexander Schmeding
Shape analysis is ubiquitous in problems of pattern and object recognition and has developed considerably in the last decade. The use of shapes is natural in applications where one…
Two classes of quadratic vector fields for which the Kahan discretization is integrable
Elena Celledoni, Robert I. McLachlan, David I. McLaren +2
Applying Kahan's discretization to the reduced Nahm equations, we obtain two classes of integrable mappings.