ML Anthology

Shape from Planar Curves: A Linear Escape from Flatland

Ady Ecker, Kiriakos N. Kutulakos, Allan D. Jepson
CVPR 2007
doi:10.1109/CVPR.2007.383020 /cvpr/2007/ecker2007cvpr-shape/

Abstract

We revisit the problem of recovering 3D shape from the projection of planar curves on a surface. This problem is strongly motivated by perception studies. Applications include single-view modeling and fully uncalibrated structured light. When the curves intersect, the problem leads to a linear system for which a direct least-squares method is sensitive to noise. We derive a more stable solution and show examples where the same method produces plausible surfaces from the projection of parallel (non-intersecting) planar cross sections.

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Text

Ecker et al. "Shape from Planar Curves: A Linear Escape from Flatland." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2007. doi:10.1109/CVPR.2007.383020

Markdown

[Ecker et al. "Shape from Planar Curves: A Linear Escape from Flatland." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2007.](https://mlanthology.org/cvpr/2007/ecker2007cvpr-shape/) doi:10.1109/CVPR.2007.383020

BibTeX

@inproceedings{ecker2007cvpr-shape,
  title     = {{Shape from Planar Curves: A Linear Escape from Flatland}},
  author    = {Ecker, Ady and Kutulakos, Kiriakos N. and Jepson, Allan D.},
  booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition},
  year      = {2007},
  doi       = {10.1109/CVPR.2007.383020},
  url       = {https://mlanthology.org/cvpr/2007/ecker2007cvpr-shape/}
}