Affine-Invariant Diffusion Geometry for the Analysis of Deformable 3D Shapes

Dan Raviv, Michael M. Bronstein, Alexander M. Bronstein, Ron Kimmel, Nir A. Sochen

CVPR 2011 pp. 2361-2367

doi:10.1109/CVPR.2011.5995486 /cvpr/2011/raviv2011cvpr-affine/

Abstract

We introduce an (equi-)affine invariant diffusion geometry by which surfaces that go through squeeze and shear transformations can still be properly analyzed. The definition of an affine invariant metric enables us to construct an invariant Laplacian from which local and global geometric structures are extracted. Applications of the proposed framework demonstrate its power in generalizing and enriching the existing set of tools for shape analysis.

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Cite

Text

Raviv et al. "Affine-Invariant Diffusion Geometry for the Analysis of Deformable 3D Shapes." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2011. doi:10.1109/CVPR.2011.5995486

Markdown

[Raviv et al. "Affine-Invariant Diffusion Geometry for the Analysis of Deformable 3D Shapes." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2011.](https://mlanthology.org/cvpr/2011/raviv2011cvpr-affine/) doi:10.1109/CVPR.2011.5995486

BibTeX

@inproceedings{raviv2011cvpr-affine,
  title     = {{Affine-Invariant Diffusion Geometry for the Analysis of Deformable 3D Shapes}},
  author    = {Raviv, Dan and Bronstein, Michael M. and Bronstein, Alexander M. and Kimmel, Ron and Sochen, Nir A.},
  booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition},
  year      = {2011},
  pages     = {2361-2367},
  doi       = {10.1109/CVPR.2011.5995486},
  url       = {https://mlanthology.org/cvpr/2011/raviv2011cvpr-affine/}
}