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In this paper, we present a new fully automated parametric non-rigid image registration method. The parameters in this new method are related to the divergence and the curl of an intermediate vector field from which the deformation field is computed. Regularization is achieved by imposing a constraint on the monitor function which is directly related to the divergence of the intermediate vector field. As a result, no regularization term is involved in our formulation. Our preliminary experimental results in 2D indicate that this new method has the potential to resolve the well known "aperture problem" suffered by many intensity based non-rigid image registration methods.