Conventional registration algorithms are mostly concerned with rigid-body transformation parameters between a pair of 3D range images. Our proposed framework aims to determine, in a unified manner, not only such rigid transformation parameters but also various deformation parameters, assuming that the deformation we handle here is strictly defined by some parameterized fomulation derived from the deformation mechanism. In this respect, our proposed framework is different from the deformation researched in such fields as medical imaging. Like other conventional registration algorithms, our algorithm is formulated as a minimization problem of the squared sum of the distance between the corresponding points among a pair of range images. While conventional registration algorithms usually minimize this sum concerned about six parameters (three translation and three rotation parameters), the evaluation function in our proposed algorithm includes deformation parameters as well. Our propos...