Abstract

This paper is addressing the problem of realigning broken ob jects without correspondences. We consider linear transformations be- tween the ob ject fragments and present the method through 2D and 3D affine transformations. The basic idea is to construct and solve a polyno- mial system of equations which provides the unknown parameters of the alignment. We have quantitatively evaluated the proposed algorithm on a large synthetic dataset containing 2D and 3D images. The results show that the method performs well and robust against segmentation errors. We also present experiments on 2D real images as well as on volumetric medical images applied to surgical planning.