On the geometry of Riemannian cubic polynomials, Differential Geometry and its Applications, vol.15, issue.2, pp.107-135, 2001. ,
DOI : 10.1016/S0926-2245(01)00054-7
The dynamic interpolation problem: On Riemannian manifolds, Lie groups, and symmetric spaces, Journal of Dynamical and Control Systems, vol.24, issue.No. 6, pp.177-202, 1995. ,
DOI : 10.1007/BF02254638
Fast construction of accurate quaternion splines, Proceedings of the 24th annual conference on Computer graphics and interactive techniques , SIGGRAPH '97, pp.287-292, 1997. ,
DOI : 10.1145/258734.258870
Spline interpolation in curved space, SIGGRAPH 85 course notes for State of the Art in Image Synthesis, 1985. ,
Invariant Higher-Order Variational Problems, Communications in Mathematical Physics, vol.37, issue.1, pp.413-458, 2012. ,
DOI : 10.1007/s00220-011-1313-y
URL : https://hal.archives-ouvertes.fr/hal-00661690
Invariant Higher-Order Variational Problems II, Journal of Nonlinear Science, vol.14, issue.4, pp.553-597, 2012. ,
DOI : 10.1007/s00332-012-9137-2
URL : https://hal.archives-ouvertes.fr/hal-01113583
Geometric Mechanics and Symmetry: From Finite to Infinite Dimensions, Oxford Texts in Applied and Engineering Mathematics, 2009. ,
On the geometry of the Virasoro-Bott group, Journal of Lie Theory, vol.8, pp.293-309, 1998. ,
Cubic Splines on Curved Spaces, IMA Journal of Mathematical Control and Information, vol.6, issue.4, pp.465-473, 1989. ,
DOI : 10.1093/imamci/6.4.465
Null cubics and Lie quadratics, Journal of Mathematical Physics, vol.44, issue.3, pp.1436-1448, 2003. ,
DOI : 10.1063/1.1537461
Non-null Lie quadratics in E3, Journal of Mathematical Physics, vol.45, issue.11, pp.4334-4351, 2004. ,
DOI : 10.1063/1.1803609
Duality and Riemannian cubics, Advances in Computational Mathematics, vol.30, issue.3, pp.195-209, 2006. ,
DOI : 10.1007/s10444-004-7621-4
LAX CONSTRAINTS IN SEMISIMPLE LIE GROUPS, The Quarterly Journal of Mathematics, vol.57, issue.4, pp.527-538, 2006. ,
DOI : 10.1093/qmath/hal002
Asymptotics of Null Lie Quadratics in $E^3$, SIAM Journal on Applied Dynamical Systems, vol.7, issue.2, pp.437-460, 2008. ,
DOI : 10.1137/070686755
Geometry for robot path planning, Robotica, vol.18, issue.06, pp.691-701, 2007. ,
DOI : 10.1006/jcph.2000.6602
Approximating near-geodesic natural cubic splines, Communications in Mathematical Sciences, vol.12, issue.8, pp.1409-1425, 2014. ,
DOI : 10.4310/CMS.2014.v12.n8.a2
Discrete Euler-Poincar?? and Lie-Poisson equations, Discrete Euler?Poincaré and Lie?Poisson equations, pp.1647-1662, 1999. ,
DOI : 10.1088/0951-7715/12/6/314
The Variational Theory of Geodesics, 1967. ,
A Treatise on the Analystical Dynamics of Particles and Rigid Bodies, 1999. ,