Fundamental groups and Euler characteristics of sphere-like digital images

DOI10.4995/agt.2016.4624zbMath1388.68282arXiv1602.00240OpenAlexW2262341337MaRDI QIDQ2825448

Laurence Boxer, P. Christopher Staecker

Publication date: 13 October 2016

Published in: Applied General Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.00240

zbMATH Keywords

Euler characteristicfundamental groupdigital topologydigital image

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Homotopy groups of spheres (55Q40)

Related Items (8)

Beyond the Hausdorff metric in digital topology ⋮ Unnamed Item ⋮ A fundamental group for digital images ⋮ Digital Lusternik–Schnirelmann category ⋮ Unnamed Item ⋮ Homotopy theory in digital topology ⋮ Digital Lefschetz numbers and related fixed point theorems ⋮ Fixed Point Sets in Digital Topology, 2

Cites Work

• Unnamed Item
• Connectivity preserving multivalued functions in digital topology
• A classical construction for the digital fundamental group
• Digital fundamental group and Euler characteristic of a connected sum of digital closed surfaces
• Equivalent \((k_{0},k_{1})\)-covering and generalized digital lifting
• Properties of digital homotopy
• Connected sum of digital closed surfaces
• ‘Continuous’ functions on digital pictures
• Digital Topology
• Digitally continuous functions

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