A novel bit-quad-based Euler number computing algorithm

Bin Yao; Lifeng He; Shiying Kang; Yuyan Chao; Xiao Zhao

doi:10.1186/s40064-015-1511-8

A novel bit-quad-based Euler number computing algorithm

Springerplus. 2015 Nov 25:4:735. doi: 10.1186/s40064-015-1511-8. eCollection 2015.

Authors

Bin Yao¹, Lifeng He², Shiying Kang³, Yuyan Chao⁴, Xiao Zhao¹

Affiliations

¹ Artificial Intelligence Institute, College of Electrical and Information Engineering, Shaanxi University of Science and Technology, Xi'an, 710021 Shaanxi China.
² Artificial Intelligence Institute, College of Electrical and Information Engineering, Shaanxi University of Science and Technology, Xi'an, 710021 Shaanxi China ; Faculty of Information Science and Technology, Aichi Prefectural University, Aichi, 4801198 Japan.
³ School of Information Engineering, Xianyang Normal University, Xianyang, 712000 Shaanxi China.
⁴ Faculty of Environment, Information and Business, Nagoya Sangyo University, Aichi, 4888711 Japan.

Abstract

The Euler number of a binary image is an important topological property in computer vision and pattern recognition. This paper proposes a novel bit-quad-based Euler number computing algorithm. Based on graph theory and analysis on bit-quad patterns, our algorithm only needs to count two bit-quad patterns. Moreover, by use of the information obtained during processing the previous bit-quad, the average number of pixels to be checked for processing a bit-quad is only 1.75. Experimental results demonstrated that our method outperforms significantly conventional Euler number computing algorithms.

Keywords: Computer vision; Euler number; Graph theory; Pattern recognition; Topological property.