The conventional registration algorithms are mostly concerned with the rigidbody 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 formulation derived from the deformation mechanism. In this point, our proposed framework is different from the deformation researched in such field as the medical imaging.
Similar to other conventional registration algorithms, our algorithm is formulated as a minimization problem of the squared distance sum between the corresponding points among a pair of range images. While the conventional registration algorithms mainly minimize this sum concerned about 6 parameters (3 translation and 3 rotation parameters), the evaluation function in our proposed algorithm includes those deformation parameters as well. Our proposed algorithm can be applied to a wide range of application areas of computer vision, in particular, shape modelling and shape analysis. In this chapter, we describe how we formulated such an algorithm, implemented it, and evaluated its performance.
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Masuda, T., Hirota, Y., Nishino, K., Ikeuchi, K. (2008). Simultaneous Determination of Registration and Deformation Parameters among 3D Range Images. In: Digitally Archiving Cultural Objects. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-75807_8
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