A Second Homotopy Group for Digital Images. arXiv:2310.08706
Preprint, arXiv:2310.08706 [math.AT] (2023).
Summary: We define a second (higher) homotopy group for digital images. Namely, we construct a functor from digital images to abelian groups, which closely resembles the ordinary second homotopy group from algebraic topology. We illustrate that our approach can be effective by computing this (digital) second homotopy group for a digital 2-sphere.
MSC:
| 55Q99 | Homotopy groups |
| 68U10 | Computing methodologies for image processing |
| 68R99 | Discrete mathematics in relation to computer science |
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