Affiliations: Center for Imaging Science and Department of Electrical and Computer Engineering, The Johns Hopkins University, Baltimore, MD 21218, U. S. A. [email protected] | Centre for Mathematics and Computer Science, P.O. Box 94079, 1090 GB Amsterdam, The Netherlands. [email protected]
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.
