the code is based on odl https://odlgroup.github.io/odl/.
the LDDMM_Beg is code for paper:Beg M F, Miller M I, Trouv´ e A, et al. Computing large deformation metric mappings via geodesic flows of diffeomorphisms[J]. International journal of computer vision, 2005, 61(2):139–157.
the LDDMM_gd is code for a model in paper : Younes L. Jacobi fields in groups of diffeomorphisms and applications[J]. Quarterly of applied mathematics,2007:113–134.