Riemannian Means as Solutions of Variational Problems

We formulate a variational problem on a Riemannian manifold M whose solutions are piecewise smooth geodesies that best fit a given data set of time labelled points in M. By a limiting process, these solutions converge to a single point in M. which we prove to be the Riemannian mean of the given poin...

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Veröffentlicht in:	LMS journal of computation and mathematics 2006, Vol.9, p.86-103
Hauptverfasser:	Machado, Luís, Leite, F. Silva, Hüper, Knut
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
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