ML Anthology

Riemannian Manifold Optimisation for Non-Rigid Structure from Motion

Appu Shaji, Sharat Chandran
CVPRW 2008 pp. 1-6
doi:10.1109/CVPRW.2008.4563071 /cvprw/2008/shaji2008cvprw-riemannian/

Abstract

This paper address the problem of automatically extracting the 3D configurations of deformable objects from 2D features. Our focus in this work is to build on the observation that the subspace spanned by the motion parameters is a subset of a smooth manifold, and therefore we hunt for the solution in this space, rather than use heuristics (as previously attempted earlier). We succeed in this by attaching a canonical Riemannian metric, and using a variant of the non-rigid factorisation algorithm for structure from motion. We qualitatively and quantitatively show that our algorithm produces better results when compared to the state of art.

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Cite

Text

Shaji and Chandran. "Riemannian Manifold Optimisation for Non-Rigid Structure from Motion." IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops, 2008. doi:10.1109/CVPRW.2008.4563071

Markdown

[Shaji and Chandran. "Riemannian Manifold Optimisation for Non-Rigid Structure from Motion." IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops, 2008.](https://mlanthology.org/cvprw/2008/shaji2008cvprw-riemannian/) doi:10.1109/CVPRW.2008.4563071

BibTeX

@inproceedings{shaji2008cvprw-riemannian,
  title     = {{Riemannian Manifold Optimisation for Non-Rigid Structure from Motion}},
  author    = {Shaji, Appu and Chandran, Sharat},
  booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops},
  year      = {2008},
  pages     = {1-6},
  doi       = {10.1109/CVPRW.2008.4563071},
  url       = {https://mlanthology.org/cvprw/2008/shaji2008cvprw-riemannian/}
}