Topologies for the digital spaces and

DOI10.1016/S1077-3142(03)00062-6zbMath1055.68122OpenAlexW2148224044MaRDI QIDQ4419488

Longin Jan Latecki, Ulrich Eckhardt

Publication date: 13 August 2003

Published in: Computer Vision and Image Understanding (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1077-3142(03)00062-6

zbMATH Keywords

Alexandroff topologyDigital topologyDigital planeDigital space

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Related Items (20)

Axiomatic digital topology ⋮ A closure operator for the digital plane ⋮ The fixed point property of the infinite K-sphere in the set Con*((Z2)*) ⋮ The fixed point property of an \(M\)-retract and its applications ⋮ Product space and the digital plane via relations ⋮ Existence of the category \(\mathit{DTC}_2(k)\) equivalent to the given category \(\mathit{KAC}_2\) ⋮ Relation-induced connectedness in the digital plane ⋮ Generalizations of continuity of maps and homeomorphisms for studying 2D digital topological spaces and their applications ⋮ Digital Jordan curves ⋮ Classification of digital \(n\)-manifolds ⋮ A Jordan Curve Theorem in the Digital Plane ⋮ A quotient-universal digital topology ⋮ Homotopic properties of an \textit{MA}-digitization of 2D Euclidean spaces ⋮ Homotopic properties of $KA$-digitizations of $n$-dimensional Euclidean spaces ⋮ Homotopy based on Marcus-Wyse topology and its applications ⋮ Strong homotopy in finite topological adjacency category ⋮ Jordan Curve Theorems with Respect to Certain Pretopologies on $\mathbb Z^2$ ⋮ Digital Jordan Curves and Surfaces with Respect to a Closure Operator ⋮ Topological adjacency relations on \(Z^{n}\) ⋮ Topological graphs based on a new topology on Zn and its applications

This page was built for publication: Topologies for the digital spaces and