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A novel bit-quad-based Euler number computing algorithm

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 pat...

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Detalles Bibliográficos
Autores principales: Yao, Bin, He, Lifeng, Kang, Shiying, Chao, Yuyan, Zhao, Xiao
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2015
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4659806/
https://www.ncbi.nlm.nih.gov/pubmed/26636023
http://dx.doi.org/10.1186/s40064-015-1511-8
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author Yao, Bin
He, Lifeng
Kang, Shiying
Chao, Yuyan
Zhao, Xiao
author_facet Yao, Bin
He, Lifeng
Kang, Shiying
Chao, Yuyan
Zhao, Xiao
author_sort Yao, Bin
collection PubMed
description 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.
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spelling pubmed-46598062015-12-03 A novel bit-quad-based Euler number computing algorithm Yao, Bin He, Lifeng Kang, Shiying Chao, Yuyan Zhao, Xiao Springerplus Research 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. Springer International Publishing 2015-11-25 /pmc/articles/PMC4659806/ /pubmed/26636023 http://dx.doi.org/10.1186/s40064-015-1511-8 Text en © Yao et al. 2015 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Yao, Bin
He, Lifeng
Kang, Shiying
Chao, Yuyan
Zhao, Xiao
A novel bit-quad-based Euler number computing algorithm
title A novel bit-quad-based Euler number computing algorithm
title_full A novel bit-quad-based Euler number computing algorithm
title_fullStr A novel bit-quad-based Euler number computing algorithm
title_full_unstemmed A novel bit-quad-based Euler number computing algorithm
title_short A novel bit-quad-based Euler number computing algorithm
title_sort novel bit-quad-based euler number computing algorithm
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4659806/
https://www.ncbi.nlm.nih.gov/pubmed/26636023
http://dx.doi.org/10.1186/s40064-015-1511-8
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