High-Order Splines on Riemannian Manifolds

This paper is an overview of the work of the authors about generalized polynomial curves and splines on Riemannian manifolds. The emphasis is put on the variational approach that gives rise to such curves, and on the Hamiltonian formulation for the cubic case.

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Bibliographische Detailangaben
Veröffentlicht in:	Proceedings of the Steklov Institute of Mathematics 2023-06, Vol.321 (1), p.158-178
Hauptverfasser:	Camarinha, Margarida, Silva Leite, Fátima, Crouch, Peter E.
Format:	Artikel
Sprache:	eng
Schlagworte:	14/34 639/766/189 639/766/530 639/766/747 Hamiltonian functions Mathematics Mathematics and Statistics Polynomials Riemann manifold Spline functions
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	This paper is an overview of the work of the authors about generalized polynomial curves and splines on Riemannian manifolds. The emphasis is put on the variational approach that gives rise to such curves, and on the Hamiltonian formulation for the cubic case.
ISSN:	0081-5438 1531-8605
DOI:	10.1134/S0081543823020128