At present

the classical diffeomorphic landmarks matching algorithms can handle large non-rigid deformation problems that cannot be solved by the non-diffeomorphic algorithms

but there are still plenty of problems such as high spatial and temporal complexity

slow convergence speed and impossible to take into account accurate matching and smooth transformation

and so on.To solve these problems

this paper proposes a novel algorithm named as the fast large deformation diffeomorphic landmarks matching based on stationary momentum (SM-FLDDLM).The SM-FLDDLM algorithm estimates the velocity vector fields by means of the Lagrange stationary momentum vector and time-dependent multi-scale reproducing kernels

and then uses the deterministic annealing mechanism based on regularization control parameters to search for the optimal momentum vectors

resulting in a final diffeomorphic deformation fields.The results of comparative experiments show that the SM-FLDDLM method is not only suitable for the large deformation diffeomorphic non-rigid transformation

with a better balance between accurate matching and smooth deformation

but also considerably reduces the time and space complexity.