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The Local Projective Shape of Smooth Surfaces and Their Outlines

Svetlana Lazebnik, Jean Ponce
ICCV 2003 pp. 83-89
doi:10.1109/ICCV.2003.1238317 /iccv/2003/lazebnik2003iccv-local/

Abstract

This paper examines projectively invariant local properties of smooth curves and surfaces. Oriented projective differential geometry is proposed as a theoretical framework for establishing such invariants and describing the local shape of surfaces and their outlines. This framework is applied to two problems: a projective proof of Koenderink’s famous characterization of convexities, concavities, and inflections of apparent contours; and the determination of the relative orientation of rim tangents at frontier points. 1

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Text

Lazebnik and Ponce. "The Local Projective Shape of Smooth Surfaces and Their Outlines." IEEE/CVF International Conference on Computer Vision, 2003. doi:10.1109/ICCV.2003.1238317

Markdown

[Lazebnik and Ponce. "The Local Projective Shape of Smooth Surfaces and Their Outlines." IEEE/CVF International Conference on Computer Vision, 2003.](https://mlanthology.org/iccv/2003/lazebnik2003iccv-local/) doi:10.1109/ICCV.2003.1238317

BibTeX

@inproceedings{lazebnik2003iccv-local,
  title     = {{The Local Projective Shape of Smooth Surfaces and Their Outlines}},
  author    = {Lazebnik, Svetlana and Ponce, Jean},
  booktitle = {IEEE/CVF International Conference on Computer Vision},
  year      = {2003},
  pages     = {83-89},
  doi       = {10.1109/ICCV.2003.1238317},
  url       = {https://mlanthology.org/iccv/2003/lazebnik2003iccv-local/}
}