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Image registration is an important prerequisite for subsequent processing, and it is one of spotlights in the field of remote sensing information processing. High-precision registration of multi-temporal remote sensing images covering complex-terrain region is always a problem to break through. Optical flow estimation calculates per-pixel displacements considering the very local distortions, providing a feasible solution. However, it is sensitive to land cover changes, which often lead to abnormal optical flow field and further affect the registered image. To this end, a registration algorithm based on the optical flow modification for multi-temporal remote sensing images covering the complex-terrain region is proposed. On the preliminary optical flow field estimated by both the brightness and gradient constraints strategy, Laplace of Gaussian operator is employed to detect the abnormal optical flow. With the mask of abnormal optical flow, the Delaunay triangle curved surface interpolation is utilized to correct them. After coordinates transformation and resampling, the aligned image is generated. Experiments demonstrate that the proposed method achieves high-fidelity and high-precision registration for multi-temporal remote sensing images covering the complex-terrain region with land cover changes.