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Proceedings Paper

Sufficient conditions for 3D parallel thinning algorithms
Author(s): Gilles Bertrand
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Paper Abstract

A simple point of an object is a point whose removal does not change the topology. However, the simultaneous deletion of simple points may change the topology. A popular way for overcoming this problem is to use a directional strategy. This method has good properties in 2D discrete spaces but it does not work in 3D. Through the notion of P-simple point we propose a general strategy for removing points in parallel without altering the topology of a 3D space. We derive some new sufficient conditions such that any parallel thinning algorithm satisfying these conditions is ensured to preserve topology.

Paper Details

Date Published: 11 August 1995
PDF: 9 pages
Proc. SPIE 2573, Vision Geometry IV, (11 August 1995); doi: 10.1117/12.216440
Show Author Affiliations
Gilles Bertrand, ESIEE (France)

Published in SPIE Proceedings Vol. 2573:
Vision Geometry IV
Robert A. Melter; Angela Y. Wu; Fred L. Bookstein; William D. K. Green, Editor(s)

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