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In this paper we develop a robust and discontinuity-preserving approach based on local and global combined model for the optical flow estimation. Firstly, the local and global optical flow methods are combined to yield dense flow fields that are robust against noise. Then a non-linear diffusion is provided to the model for discontinuity-preserving of optical flow boundary. Simultaneously, a coarse-to-fine multi-resolution strategy is presented for overcoming the difficulty of large motion estimation and the acceleration of convergence. Finally experiments with different sequences are performed demonstrating the proposed method's excellent results.