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Published on Jan 17, 2015
On general Riemannian manifolds curve subdivision is a non-linear process. Geodesics are available for the sphere, the hyperbolic plane, and SO(3). We showcase a few curves generated by B-Spline schemes and the 4-point scheme.
The inspiration to make this video came from reading the paper: The convergence of manifold-valued subdivision schemes based on geodesic averaging - by Nira Dyn and Nir Sharon. arXiv:1407.8361v1, 2014