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Mathematical morphology and poset geometry

  • Bretto A
  • Li Marzi E
International Journal of Mathematics and Mathematical Sciences (2001) 28(8) 447-453
DOI: 10.1155/s0161171201006718
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Abstract

The aim of this paper is to characterize morphological convex geometries (resp., antimatroids). We define these two structures by using closure operators, and kernel operators. We show that these convex geometries are equivalent to poset geometries.

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Bretto, A., & Li Marzi, E. M. (2001). Mathematical morphology and poset geometry. International Journal of Mathematics and Mathematical Sciences, 28(8), 447–453. https://doi.org/10.1155/s0161171201006718

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