The comparison results under four designed experiments (P1-P4) using four methods measured by: (a),(e),(i),(m) SSDi; (b),(f),(j),(n) SSDd; (c),(g),(k),(o) MI; (d),(h),(l),(p) NCC. In each figure, the first bar is the measure score computed between the original and deformed images. The LeFiR method outperformed the other four methods using these four metrics, especially in SSDd that measures the accuracy of recovering the local deformation. LeFiR yielded average 90% improvement on the original deformation, and 84% for the FFD, 63% for the SURF, 59% for the SIFT, and 10% for the UniG.