Structuring Digital Plane by the 8-Adjacency Graph with a Set of Walks
Josef Šlapal · International Journal of Mathematical and Computational Methods · 2017
In the digital plane Z2, we define connectedness induced by a set of walks of the same lengths in the 8-adjacency graph. The connectedness is shown to satisfy a digital analogue of the Jordan curve theorem. This proves that the 8-adjacency graph with a set of walks of the same lengths provides a convenient structure on the digital plane Z2 for the study of digital images.