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Proceedings Paper

Topological considerations on gray-level skeletonization
Author(s): Joaquin Madrid; Russell M. Mersereau; Norberto F. Ezquerra
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Paper Abstract

Analyzing the topological properties of algebraic opening and closing, we characterized the skeletonization of gray level signals as a homotopic transformation; i.e., a continuous deformation of the signal into a simple representation that preserves the connectivity of the signal features. To perform such a transformation, we interpret the morphological opening and closing as algorithmic approximation, in which the structural element imposes the connectivity criteria of the results. Our implementation is a variation of Serra's residual of openings, and is valid for any topology on the working space. We show a particular application and discuss the design of the appropriate structural elements.

Paper Details

Date Published: 1 November 1992
PDF: 10 pages
Proc. SPIE 1818, Visual Communications and Image Processing '92, (1 November 1992); doi: 10.1117/12.131457
Show Author Affiliations
Joaquin Madrid, Georgia Institute of Technology (United States)
Russell M. Mersereau, Georgia Institute of Technology (United States)
Norberto F. Ezquerra, Georgia Institute of Technology (United States)

Published in SPIE Proceedings Vol. 1818:
Visual Communications and Image Processing '92
Petros Maragos, Editor(s)

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