30 citations · 48 across the 28 of their papers we have counts for
4 papers · 1 filter
Homotopy relations for digital images
Laurence Boxer, P. Christopher Staecker
We introduce three generalizations of homotopy equivalence in digital images, to allow us to express whether a finite and an infinite digital image are similar with respect to homo…
Digital Fixed Points, Approximate Fixed Points, and Universal Functions
Laurence Boxer, Ozgur Ege, Ismet Karaca +2
A. Rosenfeld introduced the notion of a digitally continuous function between digital images, and showed that although digital images need not have fixed point properties analogous…
Connectivity Preserving Multivalued Functions in Digital Topology
Laurence Boxer, P. Christopher Staecker
We study connectivity preserving multivalued functions between digital images. This notion generalizes that of continuous multivalued functions studied mostly in the setting of the…
Remarks on pointed digital homotopy
Laurence Boxer, P. Christopher Staecker
We present and explore in detail a pair of digital images with -adjacencies that are homotopic but not pointed homotopic. For two digital loops wi…