Browsing by Subject "Digital topology"

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    Some properties of digital H-spaces
    (Turkiye Klinikleri Journal of Medical Sciences, 2016) Ege O.; Karaca I.
    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 κ -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 κ-contractible digital image is a digital H-space. © TÜBİTAK.
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    Singular homology algorithm for MA-spaces
    (Serbian Society of Heat Transfer Engineers, 2019) Unver Demir E.
    The work on digitizing subspaces of the 2-D Euclidean space with a certain digital approach is an important discipline in both digital geometry and topology. The present work considers Marcus-Wyse topological approach which was established for studying 2-D digital spaces, Z2. We introduce the digital singular homology groups of MA-spaces (M-topological space with an M-adjacency), and we compute singular homology groups of some certain MA-spaces, we give a formula for singular homology groups of 2-D simple closed MA-curves, and an algorithm for determining homology groups of an arbitrary MA-space. © 2019 Society of Thermal Engineers of Serbia.