Résolution de problèmes hyperélastiques de recalage d'images

We focus on some image-matching problems that are based on hyperelastic strain energies. We design an algorithm that solves numerically the Euler–Lagrange equations associated to the problem. This algorithm is formulated in terms of an ODE (Ordinary Differential Equation). We give a theorem which states that the ODE has a unique solution and converges to a solution of the Euler–Lagrange equations. To cite this article: F.J.P. Richard, C. R. Acad. Sci. Paris, Ser. I 335 (2002) 295–299.