摘要: A new, self-dual approach for morphological image processing, based on a semilattice framework, is introduced. The related erosion, in particular, shrinks all 'objects` an image, regardless to whether they are bright or dark. The theory first developed the binary case, where it closely adjacency tree. Under certain constraints, shown yield lattice structure, which complete discrete images. It then generalized grayscale functions thanks tree of shapes, recently introduced generalization trees.
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