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Article type: Research Article
Authors: Goutsias, John | Heijmans, Henk J.A.M.
Affiliations: Center for Imaging Science and Department of Electrical and Computer Engineering, The Johns Hopkins University, Baltimore, MD 21218, U. S. A. goutsias@mycenae.ece.jhu.edu | Centre for Mathematics and Computer Science, P.O. Box 94079, 1090 GB Amsterdam, The Netherlands. Henk.Heijmans@cwi.nl
Note: [] Address for correspondence: Center for Imaging Science and Department of Electrical and Computer Engineering, The Johns Hopkins University, Baltimore, MD 21218, U. S. A.
Abstract: Mathematical morphology is a geometric approach in image processing and analysis with a strong mathematical flavor. Originally, it was developed as a powerful tool for shape analysis in binary and, later, grey-scale images. But it was soon recognized that the underlying ideas could be extended naturally to a much wider class of mathematical objects, namely complete lattices. This paper presents, in a bird's eye view, the foundations of mathematical morphology, or more precisely, the theory of morphological operators on complete lattices.
Keywords: adjunction, alternating sequential filter, Boolean function, closing, complete lattice, connectivity, connected operator, dilation, erosion, flat operator, fuzzy set, grain operator, granulometry, grey-scale image, idempotence, mathematical morphology, morphological filter, morphological operator, multivalued image, opening, thresholding
DOI: 10.3233/FI-2000-411201
Journal: Fundamenta Informaticae, vol. 41, no. 1-2, pp. 1-31, 2000
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