The Local Projective Shape of Smooth Surfaces and their Outlines

  • Authors:

  • Svetlana Lazebnik;Jean Ponce

  • Affiliations:

  • -;-

  • Venue:
  • ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
  • Year:
  • 2003

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Abstract

This paper examines projectively invariant local properties ofsmooth curves and surfaces. Oriented projective differentialgeometry is proposed as a theoretical framework for establishingsuch invariants and describing the local shape of surfaces andtheir outlines. This framework is applied to two problems: aprojective proof of Koenderink's famous characterization ofconvexities, concavities, and inflections of apparent contours; andthe determination of the relative orientation of rim tangents atfrontier points.