Semiparametric estimation of rigid transformations on compact Lie groups

Jérémie Bigot (1) , Jean-Michel Loubes (1) , Myriam Vimond (2)

1 IMT - Institut de Mathématiques de Toulouse UMR5219
2 Equipe de Statistique [Rennes]

We study a simple model for the estimation of rigid transformations between noisy images. The transformations are supposed to belong to a compact Lie group, and a new matching criteria based on the Fourier transform is proposed. Consistency and asymptotic normality of the resulting estimators are studied. Some simulations are used to illustrate the methodology, and we describe potential applications of this approach to various image registration problems.

Domaines: Autre [cs.OH]

Jérémie Bigot, Jean-Michel Loubes, Myriam Vimond. Semiparametric estimation of rigid transformations on compact Lie groups. 2nd MICCAI Workshop on Mathematical Foundations of Computational Anatomy, Oct 2008, New-York, United States. pp.92-104. ⟨inria-00632877⟩