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In our registration experiments, the dice scores of our method were 0.892 ± 0.040 on liver CT datasets SLIVER , 0.848 ± 0.044 on liver CT datasets LiTS , 0.689 ± 0.014 on brain MRI datasets LPBA , and the number of overlapping voxels of deformation field were 325, 159, and 0, respectively. Ablation study shows that the CL improves the diffeomorphic property more effectively than increases. Experiment results show that our method can achieve higher registration accuracy assessed by dice scores and overlapping voxels while maintaining th