Affine Puzzle: Realigning Deformed Object Fragments Without Correspondences

Abstract

This paper is addressing the problem of realigning broken objects without correspondences. We consider linear transformations between the object fragments and present the method through 2D and 3D affine transformations. The basic idea is to construct and solve a polynomial 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.

Cite

Text

Domokos and Kato. "Affine Puzzle: Realigning Deformed Object Fragments Without Correspondences." European Conference on Computer Vision, 2010. doi:10.1007/978-3-642-15552-9_56

Markdown

[Domokos and Kato. "Affine Puzzle: Realigning Deformed Object Fragments Without Correspondences." European Conference on Computer Vision, 2010.](https://mlanthology.org/eccv/2010/domokos2010eccv-affine/) doi:10.1007/978-3-642-15552-9_56

BibTeX

@inproceedings{domokos2010eccv-affine,
  title     = {{Affine Puzzle: Realigning Deformed Object Fragments Without Correspondences}},
  author    = {Domokos, Csaba and Kato, Zoltan},
  booktitle = {European Conference on Computer Vision},
  year      = {2010},
  pages     = {777-790},
  doi       = {10.1007/978-3-642-15552-9_56},
  url       = {https://mlanthology.org/eccv/2010/domokos2010eccv-affine/}
}