Fundamenta Morphologicae Mathematicae

Authors:
John Goutsias;Henk J.A.M. Heijmans
Affiliations:
(Correspd.) 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
Venue:
Fundamenta Informaticae
Year:
2000

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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.