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Titlebook: Combinatorial Image Analysis; 18th International W Valentin E. Brimkov,Reneta P. Barneva Conference proceedings 2017 Springer International

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https://doi.org/10.1007/978-3-642-50146-3 a Voronoi diagram (VD) based on the Euclidean distance metric produces convex Voronoi regions. In this paper, we first show that this metric produces a persistent VD on the 2D digital plane, as it comprises . Voronoi regions and hence correctly approximates the corresponding VD on the 2D real plane
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https://doi.org/10.1007/978-3-642-50146-3we study a particular one on the digital plane . for every integer .. As the main result, for each of the .-ary relations studied, we prove a digital analogue of the Jordan curve theorem for the induced connectedness. It follows that these .-ary relations may be used as convenient structures on the
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The Education System and Racism, contextual array grammars. In this paper, we pay our attention on parallel internal column contextual array grammars and observe that the languages generated by these grammars are not inferable from positive data only. We define two subclasses of parallel internal column contextual array languages,
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Quality Learning and Unlearning,es of parallel contextual array grammar. We can generate a family of two-dimensional picture languages using this P system. We discuss some properties of this P system and find its generating power by comparing this new family of languages with that of certain other well known families of two-dimens
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