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Ill-Posed Problems in Surface and Surface Shape Recovery

George I. Kamberov, Gerda Kamberova
CVPR 2000 pp. 1552-1557
doi:10.1109/CVPR.2000.855868 /cvpr/2000/kamberov2000cvpr-ill/

Abstract

We present new theoretical results which have implications in answering one of the fundamental questions in computer vision: recognition of surfaces and surface shapes. We state the conditions under which: (i) a surface can be recovered, uniquely, from the tangent plane map, in particular from the Gauss map; (ii) a surface shape can be recovered from the metric and the deforming forces. In case where such conditions are not satisfied we classify all exceptions, i.e. the surfaces and surface shapes for which the recovery and registration problems are ill-posed.

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Cite

Text

Kamberov and Kamberova. "Ill-Posed Problems in Surface and Surface Shape Recovery." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2000. doi:10.1109/CVPR.2000.855868

Markdown

[Kamberov and Kamberova. "Ill-Posed Problems in Surface and Surface Shape Recovery." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2000.](https://mlanthology.org/cvpr/2000/kamberov2000cvpr-ill/) doi:10.1109/CVPR.2000.855868

BibTeX

@inproceedings{kamberov2000cvpr-ill,
  title     = {{Ill-Posed Problems in Surface and Surface Shape Recovery}},
  author    = {Kamberov, George I. and Kamberova, Gerda},
  booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition},
  year      = {2000},
  pages     = {1552-1557},
  doi       = {10.1109/CVPR.2000.855868},
  url       = {https://mlanthology.org/cvpr/2000/kamberov2000cvpr-ill/}
}