Image coding via morphological transformations: a lossless approach

Mohammed A. Charif-Chefchaouni; Dan Schonfeld

doi:10.1117/12.130977

1 August 1992 Image coding via morphological transformations: a lossless approach

Mohammed A. Charif-Chefchaouni, Dan Schonfeld

Proceedings Volume 1778, Imaging Technologies and Applications; (1992) https://doi.org/10.1117/12.130977
Event: Optical Engineering Midwest 1992, 1992, Chicago, IL, 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 thinning transformation. Subsequently, sufficient conditions, for the exact reconstruction of a binary image from its morphological representation, given by a direct restriction on the morphological thinning 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 thinning transformation.

Citation Download Citation

Mohammed A. Charif-Chefchaouni and Dan Schonfeld "Image coding via morphological transformations: a lossless approach", Proc. SPIE 1778, Imaging Technologies and Applications, (1 August 1992); https://doi.org/10.1117/12.130977

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