High order smoothing splines versus least squares problems on Riemannian manifolds

In this paper, we present a generalization of the classical least squares problem on Euclidean spaces, introduced by Lagrange, to more general Riemannian manifolds. Using the variational definition of Riemannian polynomials, we formulate a high order variational problem on a manifold equipped with a...

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Bibliographic Details
Main Author: Machado, L. (author)
Other Authors: Leite, F. Silva (author), Krakowski, K. (author)
Format: other
Language:eng
Published: 2008
Subjects:
Online Access:http://hdl.handle.net/10316/11236
Country:Portugal
Oai:oai:estudogeral.sib.uc.pt:10316/11236