Abstract: Regularizing nonlinear deformation field is an important aspect in non-rigid medical image registration. By analyzing the implementation principles of vicious fluid registration and diffusion registration method, this paper proposed to preserve the topologies of the deformation field using a spring constraints. The template image is covered with a triangular mesh, and the connection relationship between mesh vertices is preserved. The method is evaluated by registering cerebral MRI (magnetic resonance imaging) image data obtained from different individuals and by segmenting internal brain structures. Experimental results show that the proposed method has good deformation ability and topology preserving ability. The segmentation results are more accurate.