Manifold embedding for curve registration

Chloé Dimeglio (1) , Jean-Michel Loubes (1) , Elie Maza (2)

1 IMT - Institut de Mathématiques de Toulouse UMR5219
2 GBF - Génomique et Biotechnologie des Fruits

We focus on the problem of finding a good representative of a sample of random curves warped from a common pattern f. We first prove that such a problem can be moved onto a manifold framework. Then, we propose an estimation of the common pattern f based on an approximated geodesic distance on a suitable manifold. We then compare the proposed method to more classical methods.

Mots clés: warping, curve registration, classification, Frechet mean, warping.

Domaines: Méthodologie [stat.ME]

Chloé Dimeglio, Jean-Michel Loubes, Elie Maza. Manifold embedding for curve registration. 2011. ⟨hal-00593180v2⟩