01347nas a2200157 4500008004100000022001500041245006600056210006600122260002000188300000600208490000700214520082200221100001901043700001701062856011001079 2015 eng d a0162-8828 00aRealigning 2D and 3D Object Fragments without Correspondences0 aRealigning 2D and 3D Object Fragments without Correspondences bIEEEcJune 2015 a10 vpp3 a

This paper addresses the problem of simultaneous estimation of different linear deformations, resulting in a global non-linear transformation, between an original object and its broken fragments. A general framework is proposed without using correspondences, where the solution of a polynomial system of equations directly provides the parameters of the alignment. We quantitatively evaluate the proposed algorithm on a large synthetic dataset containing 2D and 3D images, where linear (rigid-body and affine) transformations are considered. We also conduct an exhaustive analysis of the robustness against segmentation errors and the numerical stability of the proposed method. Moreover, we present experiments on 2D real images as well as on volumetric medical images.

 

1 aDomokos, Csaba1 aKato, Zoltan uhttps://home.inf.u-szeged.hu/en/publication/realigning-2d-and-3d-object-fragments-without-correspondences