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Folds and cuts: how shading flows into edges
Huggins, P.S.   Zucker, S.W.  
Center for Comput. Vision & Control, Yale Univ., New Haven, CT;

This paper appears in: Computer Vision, 2001. ICCV 2001. Proceedings. Eighth IEEE International Conference on
Publication Date: 2001
Volume: 2,  On page(s): 153-158 vol.2
Meeting Date: 07/07/2001 - 07/14/2001
Location: Vancouver, BC, Canada
ISBN: 0-7695-1143-0
References Cited: 18
INSPEC Accession Number: 7024267
Digital Object Identifier: 10.1109/ICCV.2001.937618
Current Version Published: 2002-08-07

Abstract
We consider the interactions between edges and intensity distributions in semi-open image neighborhoods surrounding them. Locally this amounts to a kind of figure-ground problem, and we analyze the case of smooth surface occluding one another. Techniques from differential topology permits a classification of edges based on what we call folds and cuts. Intuititively, folds arise when a surface “folds” out of sight, which in turn may “cut” another surface from view. The classification depends on tangency between an edge tangent map and a shading flow field. Examples are included

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