A topological approach to digital topology
American Mathematical Monthly
A Classical Construction for the Digital Fundamental Group
Journal of Mathematical Imaging and Vision
Arcs and Curves in Digital Pictures
Journal of the ACM (JACM)
Homotopy in two-dimensional digital images
Theoretical Computer Science
Non-product property of the digital fundamental group
Information Sciences—Informatics and Computer Science: An International Journal
The k-fundamental group of a closed k-surface
Information Sciences: an International Journal
Minimal simple closed 18-surfaces and a topological preservation of 3D surfaces
Information Sciences: an International Journal
Connected sum of digital closed surfaces
Information Sciences: an International Journal
Digital fundamental group and Euler characteristic of a connected sum of digital closed surfaces
Information Sciences: an International Journal
The k-fundamental group of a closed k-surface
Information Sciences: an International Journal
Comparison among digital fundamental groups and its applications
Information Sciences: an International Journal
The k-Homotopic Thinning and a Torus-Like Digital Image in Zn
Journal of Mathematical Imaging and Vision
The Classification of Digital Covering Spaces
Journal of Mathematical Imaging and Vision
Some Properties of Digital Covering Spaces
Journal of Mathematical Imaging and Vision
Ultra regular covering space and its automorphism group
International Journal of Applied Mathematics and Computer Science
Discrete homotopy of a closed k-surface
IWCIA'06 Proceedings of the 11th international conference on Combinatorial Image Analysis
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This paper studies various properties of (k"0,k"1)-continuity in relation to uniform (k"0,k"1)-continuity and a pasting theorem, which can be used in image synthesis, image segmentation, and image weaving. Furthermore, we establish an equivalent (k"0,k"1)-covering and provide some condition to construct the generalized digital lifting of an equivalent (k"0,k"1)-covering map which is used to calculate the digital fundamental group of a digital image and to classify digital images by a discrete Deck's transformation group. To be specific, let p:(E,e"0)-(B,b"0) be a pointed (k"0,k"1)-covering map and let f:(X,x"0)-(B,b"0) be a pointed (k"2,k"1)-continuous map. Then, we can provide a condition to have a concerning pointed (k"2,k"0)-continuous map f@?:(X,x"0)-(E,e"0) such that p@?f@?=f.