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Exponential Entropy Approach for Image Edge Detection

Received: 31 October 2016    Accepted: 3 December 2016    Published: 20 January 2017
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Abstract

Edge detection is an important pre-processing step in image analysis. Best results of image analysis extremely depend on edge detection. Up to now many edge detection methods have been developed such as Prewitt, Sobel, LoG, Canny, etc. But, they are sensitive to noise. In this paper we propose a novel edge detection algorithm for images corrupted with noise based on Exponential Entropy. The performance of our method is compared against other methods by using various images. It is observed that the proposed algorithm displayed superior noise resilience and decrease the computation time compared with standard approaches. The results indicate the accuracy of the proposed edge-detection method over conventional edge-detection methods.

Published in International Journal of Theoretical and Applied Mathematics (Volume 2, Issue 2)
DOI 10.11648/j.ijtam.20160202.29
Page(s) 150-155
Creative Commons

This is an Open Access article, 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 or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Non-extensive Entropy, Edge Detection, Threshold Value, Gray-Scale Images

References
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[10] Ahmed El-araby, Hassan Badry Mohamed A. El-Owny, M. Heshmat, A. S. Abdel Rady:"New Algorithm For Edge Detection in Medical Images Based on Minimum Cross Entropy Thresholding". International Journal of Computer Science Issues (IJCSI), Volume 11, Issue 2, No.1, pp. 196-200, 2014.
[11] El-Owny, Hassan Badry Mohamed A.: "A novel non-Shannon edge detection algorithm for noisy image". International Journal of Computer Science and Information Security (IJCSIS), Vol. 11, No. 12, pp. 8-13, 2013.
[12] El-Owny, Hassan Badry Mohamed A.: "Edge Detection in Gray Level Images Based on Non-Shannon Entropy". International Journal on Computer Science and Engineering (IJCSE), Vol. 5, No. 12, pp. 932-939, 2013.
[13] Ahmed El-araby, Hassan Badry Mohamed A. El-Owny, M. Hassaballah, A. S. Abdel Rady, M. Heshmat: "Edge Detection of Noisy Medical Images Based Mixed Entropy". Computer Engineering and Intelligent Systems (CEIS), Vol. 4, No. 13, pp.97-106, 2013.
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Cite This Article
  • APA Style

    Hassan Badry Mohamed El-Owny. (2017). Exponential Entropy Approach for Image Edge Detection. International Journal of Theoretical and Applied Mathematics, 2(2), 150-155. https://doi.org/10.11648/j.ijtam.20160202.29

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    ACS Style

    Hassan Badry Mohamed El-Owny. Exponential Entropy Approach for Image Edge Detection. Int. J. Theor. Appl. Math. 2017, 2(2), 150-155. doi: 10.11648/j.ijtam.20160202.29

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    AMA Style

    Hassan Badry Mohamed El-Owny. Exponential Entropy Approach for Image Edge Detection. Int J Theor Appl Math. 2017;2(2):150-155. doi: 10.11648/j.ijtam.20160202.29

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  • @article{10.11648/j.ijtam.20160202.29,
      author = {Hassan Badry Mohamed El-Owny},
      title = {Exponential Entropy Approach for Image Edge Detection},
      journal = {International Journal of Theoretical and Applied Mathematics},
      volume = {2},
      number = {2},
      pages = {150-155},
      doi = {10.11648/j.ijtam.20160202.29},
      url = {https://doi.org/10.11648/j.ijtam.20160202.29},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijtam.20160202.29},
      abstract = {Edge detection is an important pre-processing step in image analysis. Best results of image analysis extremely depend on edge detection. Up to now many edge detection methods have been developed such as Prewitt, Sobel, LoG, Canny, etc. But, they are sensitive to noise. In this paper we propose a novel edge detection algorithm for images corrupted with noise based on Exponential Entropy. The performance of our method is compared against other methods by using various images. It is observed that the proposed algorithm displayed superior noise resilience and decrease the computation time compared with standard approaches. The results indicate the accuracy of the proposed edge-detection method over conventional edge-detection methods.},
     year = {2017}
    }
    

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    T1  - Exponential Entropy Approach for Image Edge Detection
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    N1  - https://doi.org/10.11648/j.ijtam.20160202.29
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    T2  - International Journal of Theoretical and Applied Mathematics
    JF  - International Journal of Theoretical and Applied Mathematics
    JO  - International Journal of Theoretical and Applied Mathematics
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    UR  - https://doi.org/10.11648/j.ijtam.20160202.29
    AB  - Edge detection is an important pre-processing step in image analysis. Best results of image analysis extremely depend on edge detection. Up to now many edge detection methods have been developed such as Prewitt, Sobel, LoG, Canny, etc. But, they are sensitive to noise. In this paper we propose a novel edge detection algorithm for images corrupted with noise based on Exponential Entropy. The performance of our method is compared against other methods by using various images. It is observed that the proposed algorithm displayed superior noise resilience and decrease the computation time compared with standard approaches. The results indicate the accuracy of the proposed edge-detection method over conventional edge-detection methods.
    VL  - 2
    IS  - 2
    ER  - 

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Author Information
  • Department of Mathematics, Faculty of Science, Aswan University, Aswan, Egypt; Computer Science Department, Taif University, Taif, Saudi Arabia

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