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Strong separating (k, k)−surfaces on Z3


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Opened Access Strong separating (k, k)−surfaces on Z3
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Author: Ciria Cosculluela, José
Domínguez Murillo, Eladio
Francés Román, Ángel Ramón
Quintero Toscano, Antonio Rafael
Date: 2010
Published in: Image-A : Applicable Mathematics in Image Engineering, 1 (2), 73-80
Document type: Article
Abstract: For each adjacency pair (k, k) != (6, 6), k, k ∈ {6, 18, 26}, we introduce a new family Skk of surfaces in the discrete space Z3 that strictly contains several families of surfaces previously defined, and other objects considered as surfaces, in the literature. Actually, Skk characterizes the strongly k−separating objects of the family of digital surfaces, defined by means of continuous analogues, of the universal (k, k)−spaces introduced in [6].
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