关键词: 弹性配准, Euler-Lagrange方程, 差分, Hermite微分算子

Abstract: In the field of medical image processing，elastic registration based on Euler-Lagrange has a wide range of application and is central to many challenges.Traditional algorithm has low accuracy，because it uses difference to calculate the image gradients.In this paper，the Hermite difference operator is used to calculate the image gradients.Smooth constraints to outside force are utilized in every iteration.The experiment proves that this method not only has a high accuracy，but also high robustness.

Key words: elastic registration, Euler-Lagrange equation, difference, Hermite derivative operator