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We propose a method which refines the range measurement of range finders by computing correspondences of vertices of multiple range images acquired from various viewpoints. Our method assumes that a range image acquired by a laser rangefinder has anisotropic error distribution which is parallel to the ray direction. Thus, we find the corresponding points of range images along with the ray direction. We iteratively converge range images to minimize the distance of corresponding points. We demonstrate the effectiveness of our method by presenting the experimental results of artificial and real range data. Also, we show that our method refines a 3D shape more accurately as opposed to that achieved by using the Gaussian filter.