The local projective shape of smooth surfaces and their outlines

Svetlana Lazebnik; Jean Ponce

doi:10.1109/iccv.2003.1238317

The local projective shape of smooth surfaces and their outlines

Research output: Contribution to conference › Paper › peer-review

Abstract

This paper examines protectively invariant local properties of smooth curves and surfaces. Oriented protective 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.

Original language	English (US)
Pages	83-89
Number of pages	7
DOIs	https://doi.org/10.1109/iccv.2003.1238317
State	Published - 2003
Event	Proceedings: Ninth IEEE International Conference on Computer Vision - Nice, France Duration: Oct 13 2003 → Oct 16 2003

Other

Other	Proceedings: Ninth IEEE International Conference on Computer Vision
Country/Territory	France
City	Nice
Period	10/13/03 → 10/16/03

ASJC Scopus subject areas

Software
Computer Vision and Pattern Recognition

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10.1109/iccv.2003.1238317

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title = "The local projective shape of smooth surfaces and their outlines",

abstract = "This paper examines protectively invariant local properties of smooth curves and surfaces. Oriented protective 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.",

author = "Svetlana Lazebnik and Jean Ponce",

year = "2003",

doi = "10.1109/iccv.2003.1238317",

language = "English (US)",

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note = "Proceedings: Ninth IEEE International Conference on Computer Vision ; Conference date: 13-10-2003 Through 16-10-2003",

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AB - This paper examines protectively invariant local properties of smooth curves and surfaces. Oriented protective 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.

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Y2 - 13 October 2003 through 16 October 2003

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The local projective shape of smooth surfaces and their outlines

Abstract

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