Homotopy equivalence of digital pictures in ${\mathbb{Z}}^2$

Dae-Woong Lee, P. Christopher Staecker

We investigate the properties of digital homotopy in the context of digital pictures $(X,\hat{I}º,\bar{\hat{I}}º)$, where $X⊊{\mathbb{Z}}^n$ is a finite set, $\hat{I}º$ is an adjacency relation on $X…