Bending Invariant Meshes and Application to Groupwise Correspondences

Abstract

We introduce a new bending invariant representation of a triangular mesh S. The bending invariant mesh X of S is a deformation of S that has the property that the geodesic distance between each pair of vertices on S is approximated well by the Euclidean distance between the corresponding vertices on X. Furthermore, X is intersection-free. The main advantage of the bending invariant mesh compared to previous approaches is that mesh-based features on X can be used to facilitate applications such as shape recognition or shape registration. We apply bending invariant meshes to find dense point-to-point correspondences between a number of deformed surfaces corresponding to different postures of the same non-rigid object in a fully automatic way.

Cite

Text

Wuhrer et al. "Bending Invariant Meshes and Application to Groupwise Correspondences." IEEE/CVF International Conference on Computer Vision Workshops, 2009. doi:10.1109/ICCVW.2009.5457674

Markdown

[Wuhrer et al. "Bending Invariant Meshes and Application to Groupwise Correspondences." IEEE/CVF International Conference on Computer Vision Workshops, 2009.](https://mlanthology.org/iccvw/2009/wuhrer2009iccvw-bending/) doi:10.1109/ICCVW.2009.5457674

BibTeX

@inproceedings{wuhrer2009iccvw-bending,
  title     = {{Bending Invariant Meshes and Application to Groupwise Correspondences}},
  author    = {Wuhrer, Stefanie and Shu, Chang and Boisvert, Jonathan and Godin, Guy and Xi, Pengcheng},
  booktitle = {IEEE/CVF International Conference on Computer Vision Workshops},
  year      = {2009},
  pages     = {382-389},
  doi       = {10.1109/ICCVW.2009.5457674},
  url       = {https://mlanthology.org/iccvw/2009/wuhrer2009iccvw-bending/}
}