Adjacencies for recognition of digital Jordan surfaces
Josef Šlapal · Aequationes Mathematicae · 2024
Abstract For every positive integer, we introduce an adjacency in the digital space $${\mathbb {Z}}^3$$ Z 3 . Connectedness in the graph obtained is then used to define and study digital Jordan surfaces. The surfaces are acquired as polyhedral surfaces bounding the digital polyhedra that can be face-to-face tiled with digital cubes, triangular prisms, square pyramids, and tetrahedra.