Generalized digital $(k_0, k_1)$-homeomorphism

Authors

  • Sang-Eon Han

DOI:

https://doi.org/10.1285/i15900932v22n2p157

Keywords:

Digital (k<sub>0</sub>, k<sub>1</sub>)-continuity, Digital $(k<sub>0</sub>, k<sub>1</sub>)$-homeomorphism, Digital curve, Digital surface

Abstract

The aim of this paper is to introduce a generalized digital $(k_0, k_1)$-homeomorphism of the digital curve and the digital surface in $\mathbb{Z}^n$.  The generalized digital $(k_0, k_1)$-continuity is studied with the $n$ kinds of $k$-adjacency relations in $\mathbb{Z}^n$.  The $k$-type digital fundamental group of the digital image comes from the generalized digital $(k_0, k_1)$-homotopy, $i \in \{0, 1\}$.  Furthermore, we show how a digital $(k_0, k_1)$-homeomophism induces a digital fundamental group $(k_0, k_1)$-isomorphism.

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Published

29-10-2003

Issue

Volume 22, Issue 2 (2003)

Section

Articoli

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