TY - JOUR
T1 - Quadratic Interpolation on Spheres
AU - Noakes, Lyle
PY - 2002
Y1 - 2002
N2 - Riemannian quadratics are C-1 curves on Riemannian manifolds, obtained by performing the quadratic recursive deCastlejeau algorithm in a Riemannian setting. They are of interest for interpolation problems in Riemannian manifolds, such as trajectory-planning for rigid body motion. Some interpolation properties of Riemannian quadratics are analysed when the ambient manifold is a sphere or projective space, with the usual Riemannian metrics.
AB - Riemannian quadratics are C-1 curves on Riemannian manifolds, obtained by performing the quadratic recursive deCastlejeau algorithm in a Riemannian setting. They are of interest for interpolation problems in Riemannian manifolds, such as trajectory-planning for rigid body motion. Some interpolation properties of Riemannian quadratics are analysed when the ambient manifold is a sphere or projective space, with the usual Riemannian metrics.
UR - https://www.scopus.com/pages/publications/0013135225
U2 - 10.1023/A:1016277023669
DO - 10.1023/A:1016277023669
M3 - Article
SN - 1019-7168
VL - 17
SP - 385
EP - 395
JO - Advances in Computational Mathematics
JF - Advances in Computational Mathematics
ER -