A metric on shape space with explicit geodesics
A metric on shape space with explicit geodesics
This paper studies a specific metric on plane curves that has the property of being isometric to classical manifold (sphere, complex projective, Stiefel, Grassmann) modulo change of parametrization, each of these classical manifolds being associated to specific qualifications of the space of curves (closed-open, modulo rotation etc\ldots) Using these isometries, …