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Estimation of Riemannian Barycentres

Published online by Cambridge University Press:  01 February 2010

Huiling Le
Huiling Le
Affiliation:
School of Mathematical Sciences,University of Nottingham, University Park, Nottingham, NG7 2RDUnited Kingdom, Huiling.Le@nottingham.ac.uk, http://www.maths.nottingham.ac.uk/htbin-local/staff.info?hl

Abstract

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Using Jacobi field arguments, this paper describes an iterative procedure for finding the Riemannian barycentres of a class of probability measures on complete, simply connected Riemannian manifolds with a finite upper bound on their sectional curvatures. This, in particular, generalises an earlier result of the author's (‘Locating Fréchet means with application to shape spaces’, Adv. Appl. Probab. 33 (2001) 324-338).

Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 7 , 2004 , pp. 193 - 200
Copyright
Copyright © London Mathematical Society 2004

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