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Mathematical Problems in Engineering
Volume 2013, Article ID 813606, 8 pages
http://dx.doi.org/10.1155/2013/813606
Research Article

New Algorithm for Constructing and Computing Scale Invariants of 3D Tchebichef Moments

1Laboratory of Image Science and Technology, School of Computer Science and Engineering, Southeast University, Nanjing 210096, China
2INSERM, U1099, 35000 Rennes, France
3Laboratoire Traitement du Signal et de l’Image, Université de Rennes I, 35000 Rennes, France
4Centre de Recherche en Information Biomédicale Sino-Français (CRIBs), Nanjing 210096, China

Received 13 December 2012; Accepted 27 March 2013

Academic Editor: Yi-Kuei Lin

Copyright © 2013 Haiyong Wu et al. 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 [9 citations]

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

  • Mostafa El Mallahi, Abderrahim Mesbah, Hassan Qjidaa, Aissam Berrahou, Khalid Zenkouar, and Hakim El Fadili, “Volumetric image reconstruction by 3D Hahn moments,” 2015 IEEE/ACS 12th International Conference of Computer Systems and Applications (AICCSA), pp. 1–8, . View at Publisher · View at Google Scholar
  • M. El Mallahi, A. Mesbah, H. Karmouni, A. El Affar, A. Tahiri, and H. Qjidaa, “Radial Charlier moment invariants for 2D object/image recognition,” 2016 5th International Conference on Multimedia Computing and Systems (ICMCS), pp. 41–45, . View at Publisher · View at Google Scholar
  • Mosatafa El Mallahi, Abderrahim Mesbah, Hassan Qjidaa, Khalid Zenkouar, and Hakim El Fadili, “Translation and scale invariants of three-dimensional Tchebichef moments,” 2015 Intelligent Systems and Computer Vision, ISCV 2015, 2015. View at Publisher · View at Google Scholar
  • Abderrahim Mesbah, Aissam Berrahou, Mostafa El Mallahi, and Hassan Qjidaa, “Fast and efficient computation of three-dimensional Hahn moments,” Journal of Electronic Imaging, vol. 25, no. 6, 2016. View at Publisher · View at Google Scholar
  • Abderrahim Mesbah, Mostafa El Mallahi, Hakim El Fadili, Khalid Zenkouar, Aissam Berrahou, Hassan Qjidaa, Abderrahim Mesbah, Mostafa El Mallahi, Hakim El Fadili, Khalid Zenkouar, Aissam Berrahou, and Hassan Qjidaa, “An Algorithm for Fast Computation of 3D Krawtchouk Moments for Volumetric Image Reconstruction,” Proceedings Of The Mediterranean Conference On Information & Communication Technologies 2015, Vol 1, vol. 380, pp. 267–276, 2016. View at Publisher · View at Google Scholar
  • Vishal Kumar Pandey, Jyotsna Singh, and Harish Parthasarathy, “Algebraic technique for computationally efficient Hahn moment invariants,” Multidimensional Systems and Signal Processing, 2017. View at Publisher · View at Google Scholar
  • Abderrahim Mesbah, Mostafa El Mallahi, Khalid Zenkouar, Hassan Qjidaa, and Amal Zouhri, “Robust Reconstruction and Generalized Dual Hahn Moments Invariants Extraction for 3D Images,” 3D Research, vol. 8, no. 1, 2017. View at Publisher · View at Google Scholar
  • Khalid Zenkouar, Azeddine Zahi, Imad Batioua, Rachid Benouini, and El Fadili Hakim, “3D image analysis by separable discrete orthogonal moments based on Krawtchouk and Tchebichef polynomials,” Pattern Recognition, vol. 71, pp. 264–277, 2017. View at Publisher · View at Google Scholar
  • Rachid Benouini, Imad Batioua, Khalid Zenkouar, Said Najah, and Hassan Qjidaa, “Efficient 3D object classification by using direct Krawtchouk moment invariants,” Multimedia Tools and Applications, 2018. View at Publisher · View at Google Scholar