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Journal of Applied Mathematics
Volume 2014, Article ID 634848, 11 pages
http://dx.doi.org/10.1155/2014/634848
Research Article

Fractal Image Coding Based on a Fitting Surface

College of Information Science and Technology, Dalian Maritime University, Dalian 116026, China

Received 5 June 2014; Revised 5 August 2014; Accepted 6 August 2014; Published 21 August 2014

Academic Editor: Filomena Cianciaruso

Copyright © 2014 Sheng Bi and Qiang Wang. 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. M. F. Barnsley, Fractal Everywhere, Academic Press, New York, NY, USA, 1993.
  2. A. E. Jacquin, “Image coding based on a fractal theory of iterated contractive image transformations,” IEEE Transactions of Image Processing, vol. 1, no. 1, pp. 18–30, 1992. View at Google Scholar · View at Scopus
  3. B. Wohlberg and G. de Jager, “A review of the fractal image coding literature,” IEEE Transactions on Image Processing, vol. 8, no. 12, pp. 1716–1729, 1999. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  4. M. Ghazel, G. H. Freeman, and E. R. Vrscay, “Fractal image denoising,” IEEE Transactions on Image Processing, vol. 12, no. 12, pp. 1560–1578, 2003. View at Publisher · View at Google Scholar · View at Scopus
  5. M. Ghazel, G. H. Freeman, and E. R. Vrscay, “Fractal-wavelet image denoising revisited,” IEEE Transactions on Image Processing, vol. 15, no. 9, pp. 2669–2675, 2006. View at Publisher · View at Google Scholar · View at Scopus
  6. X. Wang and Z. Chen, “A fast fractal coding in application of image retrieval,” Fractals, vol. 17, no. 4, pp. 441–450, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  7. X. Huang, Q. Zhang, and W. Liu, “A new method for image retrieval based on analyzing fractal coding characters,” Journal of Visual Communication and Image Representation, vol. 24, no. 1, pp. 42–47, 2013. View at Publisher · View at Google Scholar · View at Scopus
  8. Y. C. Wee and H. J. Shin, “A novel fast fractal super resolution technique,” IEEE Transactions on Consumer Electronics, vol. 56, no. 3, pp. 1537–1541, 2010. View at Publisher · View at Google Scholar · View at Scopus
  9. C. M. Lai, K. M. Lam, Y. H. Chan, and W. C. Siu, “An efficient fractal-based algorithm for image magnification,” in Proceeding of the International Symposium on Intelligent Multimedia, Video and Speech Processing (ISIMP '04), pp. 571–574, Hong Kong, China, October 2004. View at Scopus
  10. J. Lu, Y. Zou, C. Yang, and L. Wang, “A robust fractal color image watermarking algorithm,” Mathematical Problems in Engineering, vol. 2014, Article ID 638174, 12 pages, 2014. View at Publisher · View at Google Scholar · View at MathSciNet
  11. M. H. Pi, C. H. Li, and H. Li, “A novel fractal image watermarking,” IEEE Transactions on Multimedia, vol. 8, no. 3, pp. 488–498, 2006. View at Publisher · View at Google Scholar · View at Scopus
  12. F. Daraee and S. Mozaffari, “Watermarking in binary document images using fractal codes,” Pattern Recognition Letters, vol. 35, pp. 120–129, 2014. View at Publisher · View at Google Scholar · View at Scopus
  13. Y. Fisher, Fractal Image Compression: Theory and Application, Springer, New York, NY, USA, 1994.
  14. B. Hurtgen and C. Stiller, “Fast hierarchical codebook search for fractal coding of still images,” in Proceedings of the EOS/SPIE Visual Communications PACS Medical Applications, pp. 397–408, Berlin, Berlin, 1993.
  15. C.-M. Lai, K.-M. Lam, and W.-C. Siu, “Improved searching scheme for fractal image coding,” Electronics Letters, vol. 38, no. 25, pp. 1653–1654, 2002. View at Publisher · View at Google Scholar · View at Scopus
  16. C. J. He, X. Z. Xu, and J. Yang, “Fast fractal image encoding using one-norm of normalised block,” Chaos, Solitons and Fractals, vol. 27, no. 5, pp. 1178–1186, 2006. View at Publisher · View at Google Scholar · View at Scopus
  17. Q. Wang, D. Liang, and S. Bi, “Fast fractal image encoding based on correlation information feature,” in Proceedings of the 3rd International Congress on Image and Signal Processing (CISP '10), pp. 540–543, Yantai, China, October 2010. View at Publisher · View at Google Scholar · View at Scopus
  18. S. Furao and O. Hasegawa, “A fast no search fractal image coding method,” Signal Processing: Image Communication, vol. 19, no. 5, pp. 393–404, 2004. View at Publisher · View at Google Scholar · View at Scopus
  19. X. Wang and S. Wang, “An improved no-search fractal image coding method based on a modified gray-level transform,” Computers & Graphics, vol. 32, no. 4, pp. 445–450, 2008. View at Publisher · View at Google Scholar · View at Scopus
  20. X. Y. Wang, Y. X. Wang, and J. J. Yun, “An improved no-search fractal image coding method based on a fitting plane,” Image and Vision Computing, vol. 28, no. 8, pp. 1303–1308, 2010. View at Publisher · View at Google Scholar · View at Scopus
  21. R. Hamzaoui, “A new decoding algorithm for fractal image compression,” Electronics Letters, vol. 32, no. 14, pp. 1273–1274, 1996. View at Google Scholar · View at Scopus
  22. G. E. Øien and S. Lepsøy, “Fractal-based image coding with fast decoder convergence,” Signal Processing, vol. 40, no. 1, pp. 105–117, 1994. View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  23. H. S. Kang and S. D. Kim, “Fractal decoding algorithm for fast convergence,” Optical Engineering, vol. 35, no. 11, pp. 3191–3198, 1996. View at Publisher · View at Google Scholar · View at Scopus
  24. Y. H. Moon, H. S. Kim, and J. H. Kim, “A fast fractal decoding algorithm based on the selection of an initial image,” IEEE Transactions on Image Processing, vol. 9, no. 5, pp. 941–945, 2000. View at Publisher · View at Google Scholar · View at Scopus
  25. C. S. Tong and M. Pi, “Fast fractal image encoding based on adaptive search,” IEEE Transactions on Image Processing, vol. 10, no. 9, pp. 1269–1277, 2001. View at Publisher · View at Google Scholar · View at Scopus