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Proceedings Paper

Local property of strong surfaces
Author(s): Gilles Bertrand; Remy Malgouyres
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Paper Abstract

A basic property of a simple closed surface is the Jordan property: the complement of the surface has two connected components. We call back-component any such component, and the union of a back-component and the surface is called the closure of this back-component. In an earlier work, we introduced the notion of strong surface as a surface which satisfies a global homotopy property: the closure of a back- component is strongly homotopic to that back-component. It means that we can homotopically remove any subset of a strong surface from the closure of a back-component. It was proved that the simple closed 26-surfaces defined by Morgenthaler and Rosenfeld, and the simple closed 18- surfaces defined by one of the authors are both strong surfaces. In this paper, some necessary local conditions for strong 26-surfaces are present. This is a first step towards a complete local characteristics of these surfaces.

Paper Details

Date Published: 20 October 1997
PDF: 10 pages
Proc. SPIE 3168, Vision Geometry VI, (20 October 1997); doi: 10.1117/12.292783
Show Author Affiliations
Gilles Bertrand, Ecole Superieure d'Ingenieurs en Electrotechnique et Electronique (France)
Remy Malgouyres, Institute des Sciences de la Matiere et du Rayonnement (France)

Published in SPIE Proceedings Vol. 3168:
Vision Geometry VI
Robert A. Melter; Angela Y. Wu; Longin Jan Latecki, Editor(s)

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