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) |
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Pages | 83-89 |
Number of pages | 7 |
DOIs | |
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 |
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Country/Territory | France |
City | Nice |
Period | 10/13/03 → 10/16/03 |
ASJC Scopus subject areas
- Software
- Computer Vision and Pattern Recognition