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Journal of Applied Mathematics
Volume 2010, Article ID 761783, 19 pages
Research Article

An Overview of the Topological Gradient Approach in Image Processing: Advantages and Inconveniences

1Dammam University, Faculty of Sciences, PO Box 838, 31113 Dammam, Saudi Arabia
2ENIT-LAMSIN, Université de Tunis El Manar, BP 37, 1002 Tunis-Bélvédère, Tunisia

Received 27 July 2010; Accepted 21 November 2010

Academic Editor: Ke Chen

Copyright © 2010 Lamia Jaafar Belaid. 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.

Citations to this Article [4 citations]

The following is the list of published articles that have cited the current article.

  • Didier Auroux, Laurent D. Cohen, and Mohamed Masmoudi, “Contour Detection and Completion for Inpainting and Segmentation Based on Topological Gradient and Fast Marching Algorithms,” International Journal of Biomedical Imaging, vol. 2011, pp. 1–20, 2011. View at Publisher · View at Google Scholar
  • Liyun Su, Qian Yang, and Min Sun, “Image interpolation based on bivariate local polynomial fitting,” Journal of Computational Information Systems, vol. 10, no. 8, pp. 3487–3494, 2014. View at Publisher · View at Google Scholar
  • Al Hajri, Belaid, and Jaafar Belaid, “On khalimsky topology and applications on the digital image segmentation,” Applied Mathematical Sciences, vol. 9, no. 73-76, pp. 3687–3701, 2015. View at Publisher · View at Google Scholar
  • Bezuglov, Kuzin, and Voronin, “Contour detection based on wavelet differentiation,” Proceedings of SPIE - The International Society for Optical Engineering, vol. 9869, 2016. View at Publisher · View at Google Scholar