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Geometric Splines and Interpolation on S^2: Numerical Experiments

Hueper, Knut; Shen, Yueshi; Leite, F Silva


Several different procedures are presented to produce smooth interpolating curves on the two-sphere S2. The first class of methods is a combination of the pull back/push forward technique with unrolling data from S2 into a tangent plane, solving there the interpolation problem, and then wrapping the resulting interpolation curve back to the manifold. The second method results from converting a variational problem into a finite dimensional optimisation problem by a proper discretisation process....[Show more]

CollectionsANU Research Publications
Date published: 2006
Type: Conference paper
Source: Proceedings of the 45th IEEE Conference on Decision and Control


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