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Fundamenta morphologicae mathematicae

Goutsias J., Heijmans H.J.A.M.

Fundamenta Informaticae

2000

Vol. 41, Nr 1,2

1-31

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.