Point–Based Registration Assuming Affine Motion

Abstract. Registration is a fundamental task in image processing.Its purpose is to find a geometrical transformation that relates the points of an image to their corresponding points of another image.The determination of the optimal transformation depends on the types of variations between the images.In this paper we propose a robust method based on two sets of points representing the images.One–to–one correspondence is assumed between these two sets.Our approach finds global affine transformation between the sets of points and can be used in any arbitrary dimension k ≥ 1.A sufficient existence condition for a unique solution is given and proven.Our method can be used to solve various registration problems emerged in numerous fields, including medical image processing, remotely sensed data processing, and computer vision