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Journal of Optimization
Volume 2013, Article ID 921270, 10 pages
http://dx.doi.org/10.1155/2013/921270
Research Article

Image Watermarking Algorithm Based on Multiobjective Ant Colony Optimization and Singular Value Decomposition in Wavelet Domain

Department of Electrical and Computer Engineering, Laval University, Québec, QC, 1K 7P4, Canada

Received 6 February 2013; Revised 19 April 2013; Accepted 14 May 2013

Academic Editor: Peiping Shen

Copyright © 2013 Khaled Loukhaoukha. 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.

Linked References

  1. T. Xianghong, L. Lu, Y. Lianjie, and N. Yamei, “A digital watermarking scheme based on DWT and vector transform,” in Proceedings of the International Symposium on Intelligent Multimedia, Video and Speech Processing (ISIMP '04), pp. 635–638, October 2004. View at Scopus
  2. L. Li, H. Xu, C. Chang, and Y. Ma, “A novel image watermarking in redistributed invariant wavelet domain,” Journal of Systems and Software, vol. 84, no. 6, pp. 923–929, 2011. View at Publisher · View at Google Scholar · View at Scopus
  3. X.-F. Liu and S.-M. Li, “Image digital watermarking algorithm based on Arnold scrambling and wavelet transform,” in Proceedings of the International Conference on Mechanical and Electronics Engineering, vol. 130–134, pp. 2928–2931, September 2011.
  4. V. Solachidis and I. Pitas, “Circularly symmetric watermark embedding in 2-D DFT domain,” IEEE Transactions on Image Processing, vol. 10, no. 11, pp. 1741–1753, 2001. View at Publisher · View at Google Scholar · View at Scopus
  5. W. Wang, A. Men, and X. Chen, “Robust image watermarking scheme based on phase features in DFT domain and generalized radon transformations,” in Proceedings of the International Workshop on Education Technology and Computer Science, pp. 736–739, March 2009.
  6. E. Ganic, S. D. Dexter, and A. M. Eskicioglu, “Embedding multiple watermarks in the DFT domain using low and high frequency bands,” in Security, Steganography, and Watermarking of Multimedia Contents VII, vol. 5681 of Proceedings of the SPIE, pp. 175–184, March 2005, January 2005. View at Publisher · View at Google Scholar · View at Scopus
  7. S. D. Lin, S. Shie, and J. Y. Guo, “Improving the robustness of DCT-based image watermarking against JPEG compression,” Computer Standards and Interfaces, vol. 32, no. 1-2, pp. 51–58, 2010. View at Publisher · View at Google Scholar · View at Scopus
  8. A. H. Taherinia and M. Jamzad, “A robust spread spectrum watermarking method using two levels DCT,” International Journal of Electronic Security and Digital Forensics, vol. 2, no. 3, pp. 280–305, 2009. View at Publisher · View at Google Scholar · View at Scopus
  9. J. R. Hernández, M. Amado, and F. Pérez-González, “DCT-domain watermarking techniques for still images: detector performance analysis and a new structure,” IEEE Transactions on Image Processing, vol. 9, no. 1, pp. 55–68, 2000. View at Publisher · View at Google Scholar · View at Scopus
  10. W. Lu, W. Sun, and H. Lu, “Robust watermarking based on DWT and nonnegative matrix factorization,” Computers and Electrical Engineering, vol. 35, no. 1, pp. 183–188, 2009. View at Publisher · View at Google Scholar · View at Scopus
  11. W. Lu and H. Lu, “Robust watermarking based on subsampling and nonnegative matrix factorization,” Informatica, vol. 19, no. 4, pp. 555–566, 2008. View at Google Scholar · View at Scopus
  12. M. Ouhsain and A. B. Hamza, “Image watermarking scheme using nonnegative matrix factorization and wavelet transform,” Expert Systems with Applications, vol. 36, no. 2, pp. 2123–2129, 2009. View at Publisher · View at Google Scholar · View at Scopus
  13. A. A. Mohammad, A. Alhaj, and S. Shaltaf, “An improved SVD-based watermarking scheme for protecting rightful ownership,” Signal Processing, vol. 88, no. 9, pp. 2158–2180, 2008. View at Publisher · View at Google Scholar · View at Scopus
  14. K. Loukhaoukha and J.-Y. Chouinard, “Hybrid watermarking algorithm based on SVD and lifting wavelet transform for ownership verification,” in Proceedings of the 11th Canadian Workshop on Information Theory (CWIT '09), pp. 177–182, May 2009. View at Publisher · View at Google Scholar · View at Scopus
  15. R. Liu and T. Tan, “An SVD-based watermarking scheme for protecting rightful ownership,” IEEE Transactions on Multimedia, vol. 4, no. 1, pp. 121–128, 2002. View at Publisher · View at Google Scholar · View at Scopus
  16. R. Rykaczewski, “Comments on ‘An SVD-based watermarking scheme for protecting rightful ownership’,” IEEE Transactions on Multimedia, vol. 9, no. 2, pp. 421–423, 2007. View at Publisher · View at Google Scholar · View at Scopus
  17. X. Zhang and K. Li, “Comments on ‘an SVD-based watermarking scheme for protecting rightful ownership’,” IEEE Transactions on Multimedia, vol. 7, no. 3, pp. 593–594, 2005. View at Publisher · View at Google Scholar · View at Scopus
  18. L. Xiao, Z. Wei, and J. Ye, “Comments on “Robust embedding of visual watermarks using discrete wavelet transform and singular value decomposition” and theoretical analysis,” Journal of Electronic Imaging, vol. 17, no. 4, Article ID 040501, 2008. View at Publisher · View at Google Scholar · View at Scopus
  19. I. J. Cox, J. Kilian, F. T. Leighton, and T. Shamoon, “Secure spread spectrum watermarking for multimedia,” IEEE Transactions on Image Processing, vol. 6, no. 12, pp. 1673–1687, 1997. View at Publisher · View at Google Scholar · View at Scopus
  20. M. Dorigo, Optimization, learning and natural algorithms [Ph.D. thesis], Dipartimento di Elettronica e Informazione, Politecnico di Milano, Milan, Italy, 1992.
  21. K. Socha and M. Dorigo, “Ant colony optimization for continuous domains,” European Journal of Operational Research, vol. 185, no. 3, pp. 1155–1173, 2008. View at Publisher · View at Google Scholar · View at Scopus
  22. F. A. C. Viana, G. I. Kotinda, D. A. Rade, and V. Steffen Jr., “Tuning dynamic vibration absorbers by using ant colony optimization,” Computers and Structures, vol. 86, no. 13-14, pp. 1539–1549, 2008. View at Publisher · View at Google Scholar · View at Scopus
  23. S. Pourtakdoust and H. Nobahari, “An extension of ant colony system to continuous optimization problems,” in Proceedings of the International Workshop of Ant Colony Optimization and Swarm Intelligence, pp. 294–301, September 2004.
  24. K. Loukhaoukha and J.-Y. Chouinard, “Security of ownership watermarking of digital images based on singular value decomposition,” Journal of Electronic Imaging, vol. 19, no. 1, Article ID 013007, 2010. View at Publisher · View at Google Scholar · View at Scopus
  25. Y. Pai and S. Ruan, “A high quality robust digital watermarking by smart distribution technique and effective embedded scheme,” IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, vol. E90, no. 3, pp. 597–605, 2007. View at Publisher · View at Google Scholar · View at Scopus
  26. R. T. Marler and J. S. Arora, “Survey of multi-objective optimization methods for engineering,” Structural and Multidisciplinary Optimization, vol. 26, no. 6, pp. 369–395, 2004. View at Publisher · View at Google Scholar · View at Scopus