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We propose a method for removing mismatches from given putative point correspondences in image pairs. Our algorithm aims to recover the underlying coherent spatial mapping which related to inliers. The thin-plate spline (TPS) is chosen to parameterize the coherent spatial mapping, and we formulate the solution of it as a maximum likelihood problem. The mismatches could be successfully removed after the EM algorithm, which we used for solving the problem, converges. The quantitative results on various experimental data demonstrate that our method outperforms many state-of-the-art methods. Moreover, the proposed method is also able to handle the case that image pairs contain non-rigid motions.