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Image edge detection based on local dimension: A complex networks approach

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  • Wu, Zhenxing
  • Lu, Xi
  • Deng, Yong

Abstract

A novel approach based on local dimension of complex networks is proposed to address edge detecting issue in image processing. A new method that the image was modeled to complex networks is proposed. Our method for mapping an image into complex network is based on the weighted combination of the Euclidean distance and gray-level similarity indices, which differs from the way was done previously in several works. The local dimension of node characters the local property of pixel. It is observed that edge pixels obviously have lower node dimension than non-edge pixels, which is used in our proposed edge detection method. The proposed method is applied to both synthetic and natural images. The results show the efficiency of our proposed method.

Suggested Citation

  • Wu, Zhenxing & Lu, Xi & Deng, Yong, 2015. "Image edge detection based on local dimension: A complex networks approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 440(C), pages 9-18.
  • Handle: RePEc:eee:phsmap:v:440:y:2015:i:c:p:9-18
    DOI: 10.1016/j.physa.2015.07.020
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    References listed on IDEAS

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    1. Du, Yuxian & Gao, Cai & Hu, Yong & Mahadevan, Sankaran & Deng, Yong, 2014. "A new method of identifying influential nodes in complex networks based on TOPSIS," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 399(C), pages 57-69.
    2. Lambiotte, Renaud & Blondel, Vincent D. & de Kerchove, Cristobald & Huens, Etienne & Prieur, Christophe & Smoreda, Zbigniew & Van Dooren, Paul, 2008. "Geographical dispersal of mobile communication networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(21), pages 5317-5325.
    3. Yang-Yu Liu & Jean-Jacques Slotine & Albert-László Barabási, 2011. "Controllability of complex networks," Nature, Nature, vol. 473(7346), pages 167-173, May.
    4. Chaoming Song & Shlomo Havlin & Hernán A. Makse, 2005. "Self-similarity of complex networks," Nature, Nature, vol. 433(7024), pages 392-395, January.
    5. Costa, Luciano da Fontoura & Rodrigues Tognetti, Marilza A. & Silva, Filipi Nascimento, 2008. "Concentric characterization and classification of complex network nodes: Application to an institutional collaboration network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(24), pages 6201-6214.
    6. M. T. Gastner & M. E.J. Newman, 2006. "The spatial structure of networks," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 49(2), pages 247-252, January.
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    Cited by:

    1. Sui, Yi & Shao, Fengjing & Wang, Changying & Sun, Rencheng & Ji, Jun, 2016. "Complex network modeling of spectral remotely sensed imagery: A case study of massive green algae blooms detection based on MODIS data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 464(C), pages 138-148.

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