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Controllability of shapes through Landmark Manifolds

Published 12 Mar 2024 in math.DG | (2403.08090v2)

Abstract: Landmark manifolds consist of distinct points that are often used to describe shapes. We show that in the Euclidean space, we can preselect two vector fields such that their flows will be able to take any collection of landmarks to another, regardless of the number of landmarks we choose.

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