Computational morphology and representation of operators between complete lattices

Clara Cuciurean-Zapan; Edward R. Dougherty

doi:10.1117/12.157913

22 October 1993 Computational morphology and representation of operators between complete lattices

Clara Cuciurean-Zapan, Edward R. Dougherty

Proceedings Volume 2094, Visual Communications and Image Processing '93; (1993) https://doi.org/10.1117/12.157913
Event: Visual Communications and Image Processing '93, 1993, Cambridge, MA, United States

Abstract

The representations of translation-invariant mappings in the context of computational morphology are in terms of elementary binary erosions and dilations. The general representations in the context of complete lattices are in terms of abstract dilations and antidilations. The present paper considers the relationship between the specialized computational and general lattice representations. The computational and lattice-based representations are directly demonstrated to be equivalent in the computational setting.

Citation Download Citation

Clara Cuciurean-Zapan and Edward R. Dougherty "Computational morphology and representation of operators between complete lattices", Proc. SPIE 2094, Visual Communications and Image Processing '93, (22 October 1993); https://doi.org/10.1117/12.157913

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