Transport of Relational Structures in Groups of Diffeomorphisms

. Author manuscript; available in PMC: 2009 Oct 5.

Published in final edited form as: J Math Imaging Vis. 2008 Sep 1;32(1):41–56. doi: 10.1007/s10851-008-0074-5

0. Input are two images I and J (J and I are assumed to be similar) and a momentum m aligned with I.

1. Compute v = Km, and the infinitesimal variation of v on J : ξ = − 〈J, v〉.

2. Let the aligned momentum be m₀ = z₀N_J where N_J is the oriented unit normal to the level sets of J and z₀ is provided by the lifting procedure, Sect. 4.3.