Turkish Journal of Electrical Engineering and Computer Sciences
Abstract
In this paper, we study certain properties of digital H-spaces. We prove that a digital image that has the same digital homotopy type with any digital H-space is also a digital H-space. We show that the digital fundamental group of a digital H-space is abelian. We give examples that are related to a digital homotopy associative H-space and a $\kappa $-contractible digital H-space. Several important applications of digital H-spaces are given in computer vision and image processing. Finally, we deal with the importance of digital H-space in digital topology and image processing. We conclude that any $\kappa $-contractible digital image is a digital H-space.
DOI
10.3906/elk-1311-69
Keywords
Digital image, digital H-space, digital H-group, digital homotopy, image processing
First Page
1930
Last Page
1941
Recommended Citation
EGE, Ö, & KARACA, İ (2016). Some properties of digital H-spaces. Turkish Journal of Electrical Engineering and Computer Sciences 24 (3): 1930-1941. https://doi.org/10.3906/elk-1311-69
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Computer Engineering Commons, Computer Sciences Commons, Electrical and Computer Engineering Commons
