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Proceedings Paper

Local features of smooth shapes: ridges and courses
Author(s): Jan J. Koenderink; Andrea J. van Doorn
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Paper Abstract

If one direction of (three-dimensional) space is singled out, it makes sense to formulate the description of embedded curves and surfaces in a frame that is adapted both to the embedded manifold and to the special direction, rather than a frame based upon the curvature landscape. Such a case occurs often in computer vision, where the image plane plays a role that differs essentially from the direction of view. The classical case is that of geomorphology, where the vertical is the singled out dimension. In computer vision the `ridges' and `(water-)courses' are recognized as important entities and attempts have been made to make the intuitive notions precise. These attempts repeat the unfortunate misunderstandings that marked the course of the late 19th century struggle to define the `Talweg' (equals `valley path' or `(water-)course'). We elucidate the problems and their solution via novel examples.

Paper Details

Date Published: 23 June 1993
PDF: 12 pages
Proc. SPIE 2031, Geometric Methods in Computer Vision II, (23 June 1993); doi: 10.1117/12.146617
Show Author Affiliations
Jan J. Koenderink, Univ. of Utrecht (Netherlands)
Andrea J. van Doorn, Univ. of Utrecht (Netherlands)

Published in SPIE Proceedings Vol. 2031:
Geometric Methods in Computer Vision II
Baba C. Vemuri, Editor(s)

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