About simple variational splines from the Hamiltonian viewpoint

DOI10.3934/jgm.2017011zbMath1368.65092arXiv1711.02773OpenAlexW3104775762MaRDI QIDQ2361265

Alejandro Cabrera, Paula Balseiro, Teresinha J. Stuchi, Jair Koiller

Publication date: 30 June 2017

Published in: Journal of Geometric Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.02773

zbMATH Keywords

optimal controlreductionreconstructioncubic splinegeometric controlPontryagin maximum principlecomputational anatomyRiemannian splines

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical optimization and variational techniques (65K10) Existence theories for optimal control problems involving ordinary differential equations (49J15) Momentum maps; symplectic reduction (53D20) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

Related Items (4)

High-order splines on Riemannian manifolds ⋮ Rolling Maps and Nonlinear Data ⋮ Minimal time splines on the sphere ⋮ Riemannian cubics close to geodesics at the boundaries

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