New symplectic structures on unparameterized space curve shape spaces are built by combining the Marsden-Weinstein Liouville 1-form with shape analysis Riemannian structures, and Hamiltonian vector fields for classical functions are derived.
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Symplectic structures on the space of space curves
New symplectic structures on unparameterized space curve shape spaces are built by combining the Marsden-Weinstein Liouville 1-form with shape analysis Riemannian structures, and Hamiltonian vector fields for classical functions are derived.