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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| Veröffentlicht in: | Proceedings of the Steklov Institute of Mathematics 2023-06, Vol.321 (1), p.158-178 |
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| container_title | Proceedings of the Steklov Institute of Mathematics |
| container_volume | 321 |
| creator | Camarinha, Margarida Silva Leite, Fátima Crouch, Peter E. |
| description | 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. |
| doi_str_mv | 10.1134/S0081543823020128 |
| format | Article |
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| subjects | 14/34 639/766/189 639/766/530 639/766/747 Hamiltonian functions Mathematics Mathematics and Statistics Polynomials Riemann manifold Spline functions |
| title | High-Order Splines on Riemannian Manifolds |
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