An algorithm for computing digital cohomology groups

Demir E., Karaca I.

Applied Mathematics and Information Sciences, vol.10, no.3, pp.1007-1015, 2016 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 10 Issue: 3
  • Publication Date: 2016
  • Doi Number: 10.18576/amis/100319
  • Journal Name: Applied Mathematics and Information Sciences
  • Journal Indexes: Scopus
  • Page Numbers: pp.1007-1015
  • Keywords: Digital cohomology group, Digital curve, Digital surface
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

Several recent papers have discussed the digital version of the cohomology group for digital images, and some researchers calculate digital cohomology groups of some special two or three-dimensional digital images. In this paper, we determine the simplicial cohomology groups of some minimal simple closed curves and the digital surface MSS6. Also we give a general algorithm for computing digital cohomology groups of finite dimensional digital images.