The local projective shape of smooth surfaces and their outlines

Svetlana Lazebnik, Jean Ponce

Research output: Contribution to conferencePaperpeer-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 languageEnglish (US)
Pages83-89
Number of pages7
DOIs
StatePublished - 2003
EventProceedings: Ninth IEEE International Conference on Computer Vision - Nice, France
Duration: Oct 13 2003Oct 16 2003

Other

OtherProceedings: Ninth IEEE International Conference on Computer Vision
CountryFrance
CityNice
Period10/13/0310/16/03

ASJC Scopus subject areas

  • Software
  • Computer Vision and Pattern Recognition

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