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Proceedings Paper

Efficient topological descriptor for shape representation
Author(s): Madjid Allili; David Corriveau; Djemel Ziou
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Paper Abstract

In a recent paper, we have introduced a topological descriptor for shape representation based on classical Morse theory. More precisely, given a manifold M and a Morse function f on M, we build an invariant [Morse Shape Descriptor (MSD)] of the manifold from the ranks of relative homology groups of all pairs of lower levels of the function f. While the MSD is a robust invariant with very nice properties, its application requires time consuming computations of homology groups. We present a new and computationally efficient method to capture the essential of the information given by the MSD.

Paper Details

Date Published: 1 March 2005
PDF: 10 pages
Proc. SPIE 5672, Image Processing: Algorithms and Systems IV, (1 March 2005); doi: 10.1117/12.593815
Show Author Affiliations
Madjid Allili, Bishop's Univ. (Canada)
David Corriveau, Univ. de Sherbrooke (Canada)
Djemel Ziou, Univ. de Sherbrooke (Canada)

Published in SPIE Proceedings Vol. 5672:
Image Processing: Algorithms and Systems IV
Edward R. Dougherty; Jaakko T. Astola; Karen O. Egiazarian, Editor(s)

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