A Fundamental Group for Digital Images
Algebraic Topology
2019-06-17 v1 Combinatorics
Abstract
We define a fundamental group for digital images. Namely, we construct a functor from digital images to groups, which closely resembles the ordinary fundamental group from algebraic topology. Our construction differs in several basic ways from previously established versions of a fundamental group in the digital setting. Our development gives a prominent role to subdivision of digital images. We show that our fundamental group is preserved by subdivision.
Keywords
Cite
@article{arxiv.1906.05976,
title = {A Fundamental Group for Digital Images},
author = {Gregory Lupton and John Oprea and Nicholas Scoville},
journal= {arXiv preprint arXiv:1906.05976},
year = {2019}
}
Comments
47 pages, 2 figures