Some properties of digital H-spaces

Authors

ÖZGÜR EGE
İSMET KARACA

DOI

10.3906/elk-1311-69

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.

Keywords

Digital image, digital H-space, digital H-group, digital homotopy, image processing

First Page

1930

Last Page

1941

Recommended Citation

EGE, ÖZGÜR and KARACA, İSMET (2016) "Some properties of digital H-spaces," Turkish Journal of Electrical Engineering and Computer Sciences: Vol. 24: No. 3, Article 86. https://doi.org/10.3906/elk-1311-69
Available at: https://journals.tubitak.gov.tr/elektrik/vol24/iss3/86