Optimal morphological representation of binary images

Mohammed A. Charif-Chefchaouni; Dan Schonfeld

doi:10.1117/12.60658

1 June 1992 Optimal morphological representation of binary images

Mohammed A. Charif-Chefchaouni, Dan Schonfeld

Author Affiliations +

Proceedings Volume 1769, Image Algebra and Morphological Image Processing III; (1992) https://doi.org/10.1117/12.60658
Event: San Diego '92, 1992, San Diego, CA, United States

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.

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Mohammed A. Charif-Chefchaouni and Dan Schonfeld "Optimal morphological representation of binary images", Proc. SPIE 1769, Image Algebra and Morphological Image Processing III, (1 June 1992); https://doi.org/10.1117/12.60658

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