Let and be corresponding template and target landmarks respectively. The program finds an optimal diffeomorphism φ that interpolates the correspondences by minimizing

where d is a geodesic distance in a group of diffeomorphisms [1]. The algorithm solves the nonlinear Euler equation by a Newton method combined with a shooting procedure [2].

References:

[1] Miller, M,I and Trouvé, A and Younes, L. "Geodesic Shooting for Computational Anatomy". Journal of Mathematical Imaging and Vision (2004)

[2] Allassonnière, S.,Trouvé, A., Younes, L. . "Geodesic Shooting and Diffeomorphic Matching via Textures Meshes". Proceedings of EMMCVPR'05 (2005)

Software developed with support from National Institutes of Health NCRR grant P41 RR15241.

Last Modified: Thursday, 20-Sep-2007 06:37:28 EDT