title: Quadratic interpolation on spheres
abstract: Riemannian quadratics are C/sup 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
keyphrases: quadratic interpolation Riemannian manifolds trajectory-planning rigid body motion ambient manifold corner-cutting parallel translation approximation theory