Folds and Cuts: How Shading Flows into Edges

Huggins, Patrick S.; Zucker, Steven W.

doi:10.1109/ICCV.2001.937618

Folds and Cuts: How Shading Flows into Edges

Patrick S. Huggins, Steven W. Zucker

ICCV 2001 pp. 153-158

doi:10.1109/ICCV.2001.937618 /iccv/2001/huggins2001iccv-folds/

Abstract

We consider the interactions between edges and intensity distributions in semi-open image neighborhoods surround-ing them. Locally this amounts to a kind of figure-ground problem, and we analyze the case of smooth figures oc-cluding arbitrary backgrounds. Techniques from differen-tial topology permit a classification into what we call folds (the side of an edge from a smooth object) and cuts (the arbitrary background). Intuitively, cuts arise when an arbi-trary scene is “cut ” from view by an occluder. The condi-tion takes the form of transversality between an edge tan-gent map and a shading flow field, and examples are in-cluded. 1

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Text

Huggins and Zucker. "Folds and Cuts: How Shading Flows into Edges." IEEE/CVF International Conference on Computer Vision, 2001. doi:10.1109/ICCV.2001.937618

Markdown

[Huggins and Zucker. "Folds and Cuts: How Shading Flows into Edges." IEEE/CVF International Conference on Computer Vision, 2001.](https://mlanthology.org/iccv/2001/huggins2001iccv-folds/) doi:10.1109/ICCV.2001.937618

BibTeX

@inproceedings{huggins2001iccv-folds,
  title     = {{Folds and Cuts: How Shading Flows into Edges}},
  author    = {Huggins, Patrick S. and Zucker, Steven W.},
  booktitle = {IEEE/CVF International Conference on Computer Vision},
  year      = {2001},
  pages     = {153-158},
  doi       = {10.1109/ICCV.2001.937618},
  url       = {https://mlanthology.org/iccv/2001/huggins2001iccv-folds/}
}