ML Anthology

Non-Rigid Structure from Motion with Complementary Rank-3 Spaces

Paulo F. U. Gotardo, Aleix M. Martínez
CVPR 2011 pp. 3065-3072
doi:10.1109/CVPR.2011.5995560 /cvpr/2011/gotardo2011cvpr-non/

Abstract

Non-rigid structure from motion (NR-SFM) is a difficult, underconstrained problem in computer vision. This paper proposes a new algorithm that revises the standard matrix factorization approach in NR-SFM. We consider two alternative representations for the linear space spanned by a small number K of 3D basis shapes. As compared to the standard approach using general rank-3K matrix factors, we show that improved results are obtained by explicitly modeling K complementary spaces of rank-3. Our new method is positively compared to the state-of-the-art in NR-SFM, providing improved results on high-frequency deformations of both articulated and simpler deformable shapes. We also present an approach for NR-SFM with occlusion.

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Cite

Text

Gotardo and Martínez. "Non-Rigid Structure from Motion with Complementary Rank-3 Spaces." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2011. doi:10.1109/CVPR.2011.5995560

Markdown

[Gotardo and Martínez. "Non-Rigid Structure from Motion with Complementary Rank-3 Spaces." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2011.](https://mlanthology.org/cvpr/2011/gotardo2011cvpr-non/) doi:10.1109/CVPR.2011.5995560

BibTeX

@inproceedings{gotardo2011cvpr-non,
  title     = {{Non-Rigid Structure from Motion with Complementary Rank-3 Spaces}},
  author    = {Gotardo, Paulo F. U. and Martínez, Aleix M.},
  booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition},
  year      = {2011},
  pages     = {3065-3072},
  doi       = {10.1109/CVPR.2011.5995560},
  url       = {https://mlanthology.org/cvpr/2011/gotardo2011cvpr-non/}
}