Skip to main content
Have a personal or library account? Click to login
Partitioned iterated function systems with division and a fractal dependence graph in recognition of 2D shapes Cover

Partitioned iterated function systems with division and a fractal dependence graph in recognition of 2D shapes

International Journal of Applied Mathematics and Computer Science
Volume 21 (2011): Issue 4 (December 2011)
By:  and    
Open Access
|Dec 2011
References

References

  1. Attalla, E. and Siy, P. (2005). Robust shape similarity retrieval based on contour segmentation polygonal multiresolution and elastic matching,(12): 2229-2241.
    Open DOISearch in Google Scholar
  2. Barni, M. (2006)., CRC Press, Boca Raton, FL.
    Search in Google Scholar
  3. Barnsley, M. (1988)., Academic Press, Boston, MA.
    Search in Google Scholar
  4. Belongie, S., Malik, J. and Puzicha, J. (2002). Shape matching and object recognition using shape contexts,(4): 509-522.
    Open DOISearch in Google Scholar
  5. Bruno, O. M., Plotze, R.d.O., Falvo, and Castro, M.d. (2008). Fractal dimension applied to plant identification,(12): 2722-2733.
    Open DOISearch in Google Scholar
  6. Burger, W. and Burge, M. J. (2008)., Springer, New York, NY.
    Open DOISearch in Google Scholar
  7. Chandran, S. and Kar, S. (2002). Retrieving faces by the PIFS fractal code,, pp. 8-12.
    Search in Google Scholar
  8. Chang, Y. F., Lee, J. C., Mohd Rijal, O. and Syed Abu Bakar, S. A. R. (2010). Efficient online handwritten Chinese character recognition system using a two-dimensional functional relationship model,(4): 727-738, DOI: 10.2478/v10006-010-0055-x.
    Open DOISearch in Google Scholar
  9. Dey, P. (2005). Basic principles and applications of fractal geometry in pathology—A review,(5): 284-290.
    Search in Google Scholar
  10. Domaszewicz, J. and Vaishampayan, V. A. (1995). Graph-theoretical analysis of the fractal transform,, Vol. 4, pp. 2559-2562.
    Search in Google Scholar
  11. Erra, U. (2005). Toward real time fractal image compression using graphics hardware,G. Bebis, R. Boyle, D. Koracin and B. Parvin (Eds.),, Lecture Notes in Computer Science, Vol. 3804, Springer, Heidelberg, pp. 723-728.
    Open DOISearch in Google Scholar
  12. Felzenszwalb, P. F. and Schwartz, J. (2007). Hierarchical matching of deformable shapes,, Vol. 1, pp. 1-8.
    Search in Google Scholar
  13. Fisher, Y. (1995)., Springer-Verlag, NewYork, NY.
    Open DOISearch in Google Scholar
  14. Gdawiec, K. (2009a). Fractal interpolation in modeling of 2D contours,(3): 421-430.
    Search in Google Scholar
  15. Gdawiec, K. (2009b)., Ph.D. thesis, University of Silesia, Sosnowiec, (in Polish).
    Open DOISearch in Google Scholar
  16. Ghazel, M., Freeman, G. H. and Vrscay, E. R. (2003). Fractal image denoising,(12): 1560-1578.
    Open DOISearch in Google Scholar
  17. Golub, G. H. and van Loan, C. F. (1996)., 3rd Edn., The Johns Hopkins University Press, Baltimore, MD.
    Search in Google Scholar
  18. Harris, J. M., Hirst, J. L. and Mossinghoff, M. J. (2008)., 2nd Edn., Springer, New York, NY.
    Search in Google Scholar
  19. Huang, K. and Yan, H. (2000). Signature verification using fractal transformation,, Vol. 2, pp. 855-858.
    Search in Google Scholar
  20. Kolumbán, J., Soós, A. and Varga, I. (2003). Self-similar random fractal measures using contraction method in probabilistic metric spaces,(52): 3299-3313.
    Open DOISearch in Google Scholar
  21. Kouzani, A. Z. (2008). Classification of face images using local iterated function systems,(4): 223-248.
    Open DOISearch in Google Scholar
  22. Latecki, L. J., Lakamper, R. and Eckhardt, T. (2000). Shape descriptors for non-rigid shapes with a single closed contour,, Vol. 1, pp. 424-429.
    Search in Google Scholar
  23. Ling, H. and Jacobs, D. W. (2005). Using the inner-distance for classification of articulated shapes,, Vol. 2, pp. 719-726.
    Search in Google Scholar
  24. Linnell, T. A. and Deravi, F. (2004). Mapping vector accumulator: fractal domain feature for character recognition,(22): 1406-1407.
    Open DOISearch in Google Scholar
  25. Mandelbrot, B. (1983)., W. H. Freeman and Company, New York, NY.
    Open DOISearch in Google Scholar
  26. Meng, D., Cai, X., Su, Z. and Li, J. (2009). Photorealistic terrain generation method based on fractal geometry theory and procedural texture,, pp. 341-344.
    Search in Google Scholar
  27. Mokhtarian, F. and Bober, M. (2003)., Springer, Heidelberg.
    Open DOISearch in Google Scholar
  28. Mozaffari, S., Faez, K. and Faradji, F. (2006). One dimensional fractal coder for online signature recognition,, Vol. 2, pp. 857-860.
    Search in Google Scholar
  29. Neil, G. and Curtis, K. M. (1997). Shape recognition using fractal geometry,(12): 1957-1969.
    Open DOISearch in Google Scholar
  30. Nikiel, S. (2007). A proposition of mobile fractal image decompression,(1): 129-136, DOI: 10.2478/v10006-007-0012-5.
    Open DOISearch in Google Scholar
  31. Peters, E. E. (1994)., John Wiley & Sons Inc., New York, NY.
    Search in Google Scholar
  32. Plotze, R.d.O., Falvo, M., Páuda, J. G., Bernacci, L. C., Vieira, M. L. C., Oliveira, G. C. X. and Bruno, O. M. (2005). Leaf shape analysis using the multiscale Minkowski fractal dimension, a new morphometric method: A study with passiflora (passifloraceae),(3): 287-301.
    Open DOISearch in Google Scholar
  33. Prusinkiewicz, P. and Lindenmayer, A. (1996)., Springer-Verlag, New York, NY.
    Search in Google Scholar
  34. Skarbek, W. and Ignasiak, K. (1996). Asynchronous nonlinear fractal operators and their applications,(2): 3-20.
    Search in Google Scholar
  35. Skarbek, W., Ignasiak, K. and Ghuwar, M. (1996). Fractal representation of planar shapes,S. Miguet, A. Montanvert and S. Ubéda (Eds.),, Lecture Notes in Computer Science, Vol. 1176, Springer, Heidelberg, pp. 73-84.
    Open DOISearch in Google Scholar
  36. Tu, Z. and Yuille, A. L. (2004). Shape matching and recognition using generative models and informative features,, pp. 195-209.
    Search in Google Scholar
  37. Witten, I. H. and Frank, E. (2005)., 2nd Edn., Morgan Kaufmann Publishers, San Francisco, CA.
    Search in Google Scholar
  38. Xu, C., Liu, J. and Tang, X. (2009). 2D shape matching by contour flexibility,(1): 180-186.
    Open DOISearch in Google Scholar
  39. Yokoyama, T., Sugawara, K. and Watanabe, T. (2004). Similarity-based image retrieval system using partitioned iterated function system codes,(2): 118-122.
    Open DOISearch in Google Scholar
  40. Zhao, G., Cui, L. and Li, H. (2007). Gait recognition using fractal scale,(3): 235-246.
    Open DOISearch in Google Scholar
DOI: https://doi.org/10.2478/v10006-011-0060-8 | Journal eISSN: 2083-8492 | Journal ISSN: 1641-876X
Journal RSS Feed
Language: English
Page range: 757 - 767
Published on: Dec 21, 2011
Published by: University of Zielona Góra
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year
Keywords:
fractal,
partitioned iterated function system,
shape recognition,
dependence graph
Related subjects:
Mathematics,
Applied mathematics

© 2011 Krzysztof Gdawiec, Diana Domańska, published by University of Zielona Góra
This work is licensed under the Creative Commons License.

Volume 21 (2011): Issue 4 (December 2011)
Previous article
Next article