Some properties of digital H-spaces

EGE Ö., Karaca I.

Turkish Journal of Electrical Engineering and Computer Sciences, vol.24, no.3, pp.1930-1941, 2016 (SCI-Expanded, Scopus, TRDizin) identifier

  • Publication Type: Article / Article
  • Volume: 24 Issue: 3
  • Publication Date: 2016
  • Doi Number: 10.3906/elk-1311-69
  • Journal Name: Turkish Journal of Electrical Engineering and Computer Sciences
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.1930-1941
  • Keywords: Digital H-group, Digital H-space, Digital homotopy, Digital image, Image processing
  • Manisa Celal Bayar University Affiliated: No

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 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.