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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 675373, 6 pages
http://dx.doi.org/10.1155/2013/675373
Research Article

Computing Hypercrossed Complex Pairings in Digital Images

Mathematics Department, Faculty of Science and Arts, Celal Bayar University, 45047 Manisa, Turkey

Received 3 October 2013; Accepted 9 November 2013

Academic Editor: Abdon Atangana

Copyright © 2013 Simge Öztunç et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We consider an additive group structure in digital images and introduce the commutator in digital images. Then we calculate the hypercrossed complex pairings which generates a normal subgroup in dimension 2 and in dimension 3 by using 8-adjacency and 26-adjacency.