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In this paper, a novel method for image registration method which affords robust results for various disturbances in the real world, including local and/or global variations of illumination, occlusions, and noises, is proposed. The registration process is based on a set of selected point-pairs with binary coded signs of differences, which is constructed from the given template image. The selection of the point-pairs is defined on the basis of statistical view point. The authors developed the mathematical model of the inverting-ratio which is the quantity strongly related to the similarity index, for the Gaussian-disturbances. The authors also verified the model by numerical experiments. The mathematical model, enforced by the numerical results, gives the theoretical backbone for the robustness of the proposed method.