2022
DOI: 10.48550/arxiv.2207.13926
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Samy Blusseau,
Santiago Velasco-Forero,
Jesus Angulo
et al.

Abstract: In discrete signal and image processing, many dilations and erosions can be written as the max-plus and min-plus product of a matrix on a vector. Previous studies considered operators on symmetrical, unbounded complete lattices, such as Cartesian powers of the completed real line. This paper focuses on adjunctions on closed hypercubes, which are the complete lattices used in practice to represent digital signals and images. We show that this constrains the representing matrices to be doubly-0-astic and we char… Show more

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