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Proceedings Paper

Optimal morphological representation of binary images
Author(s): Mohammed A. Charif-Chefchaouni; Dan Schonfeld
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Paper Abstract

In this paper, the invertibility of the morphological representation of binary images is investigated. We provide necessary and sufficient conditions for the exact reconstruction of a binary image from its morphological representation. The necessary and sufficient conditions obtained are given by a restriction defined in terms of the morphological thining transformation. Subsequently, sufficient conditions, for the exact reconstruction of a binary image from its morphological representation, given by a direct restriction on the morphological thining transformation, are determined. Additionally, we derive necessary conditions, for the exact reconstruction of a binary image from its morphological representation, given by a direct restriction on the morphological thining transformation.

Paper Details

Date Published: 1 June 1992
PDF: 6 pages
Proc. SPIE 1769, Image Algebra and Morphological Image Processing III, (1 June 1992); doi: 10.1117/12.60658
Show Author Affiliations
Mohammed A. Charif-Chefchaouni, Univ. of Illinois/Chicago (United States)
Dan Schonfeld, Univ. of Illinois/Chicago (United States)


Published in SPIE Proceedings Vol. 1769:
Image Algebra and Morphological Image Processing III
Paul D. Gader; Edward R. Dougherty; Jean C. Serra, Editor(s)

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