Point cloud registration for algebraic varieties using Riemannian optimization
Florentin Goyens  1@  , Coralia Cartis  2  , Stéphane Chrétien  3  
1 : Paris Dauphine
Université Paris Dauphine-PSL
2 : Mathematical Institute [Oxford]
3 : Lyon 2
Université Lumière - Lyon II

We consider the registration of point clouds, that is, task of finding a transformation such that two point clouds overlap. We assume that the target and source point clouds belong to the same algebraic variety (up to a change in coordinates). We formulate the problem as the minimization of a smooth function defined on Riemannian manifolds.

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