Curve Reconstruction in Riemannian Manifolds: Ordering Motion Frames

Abstract

In this article we extend the computational geometric curve reconstruction approach to curves in Riemannian manifolds. We prove that the minimal spanning tree, given a sufficiently dense sample set of a curve, correctly reconstructs the smooth arcs and further closed and simple curves in Riemannian manifolds. The proof is based on the behaviour of the curve… (More)

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