Curve Subdivision on Riemannian Manifolds - Several Examples
Channel: datahaki
Date: 17/01/2015

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