`Continuous' functions on digital pictures
Pattern Recognition Letters
Digitally continuous functions
Pattern Recognition Letters
A Classical Construction for the Digital Fundamental Group
Journal of Mathematical Imaging and Vision
Homotopy in two-dimensional digital images
Theoretical Computer Science
Discrete Applied Mathematics
Digital Products, Wedges, and Covering Spaces
Journal of Mathematical Imaging and Vision
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
Equivalent (k0,k1)-covering and generalized digital lifting
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
Connected sum of digital closed surfaces
Information Sciences: an International Journal
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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For given two digital images both equipped with each digital connectedness, we show that the digital fundamental groups of both images do not necessarily lead to the digital fundamental group of the product image. In order to prove the non-product property of the digital fundamental group of the digital product image, we need the notion of product image and some calculation of the digital 8-fundamental group of the digital 8-pseudotorus in Z4 by means of a counterexample.