2018 • Conference Paper
Blended smoothing splines on Riemannian manifolds
Authors:
Gousenbourger, Pierre-Yves,
Massart, Estelle ,
Absil, Pierre-Antoine
Published in:
iTwist 2018
We present a method to compute a fitting curve B to a set of data points d0,...,dm lying on a manifold M. That curve is obtained by blending together Euclidean Bézier curves obtained on different tangent spaces. The method guarantees several properties among which B is C1 and is the natural cubic smoothing spline when M is the Euclidean space. We show examples on the sphere S2 as a proof of concept.