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