• Convergence of Lie group integrators 

      Curry, Charles Henry Alexander; Schmeding, Alexander (Journal article; Peer reviewed, 2019)
      We relate two notions of local error for integration schemes on Riemannian homogeneous spaces, and show how to derive global error estimates from such local bounds. In doing so, we prove for the first time that the Lie–Butcher ...
    • Shape analysis on homogeneous spaces: a generalised SRVT framework 

      Celledoni, Elena; Eidnes, Sølve; Schmeding, Alexander (Chapter, 2017)
      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 wants to compare curves independently of ...
    • Shape analysis on lie groups and homogeneous spaces 

      Celledoni, Elena; Eidnes, Sølve; Eslitzbichler, Markus; Schmeding, Alexander (Journal article, 2017)
      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 Euclidean spaces to shape spaces of curves on ...