Fractal Format for Bitmap Images

• Autorzy: Siwocha A. , Cader A. , Kolibabka M. , Krupski M.
• Języki publikacji: EN

Abstrakty

EN

The conception of proposed recording format is the example of the theoretical and practical application of the FBS method, which was precisely described in thesis [18,19,20]. The foundation of the presented recording format is the use of a new method of fractal basis splines (FB-splines), which allows the reconstruction of complex geometric structures with the properties of fractals. Fractral basis splines method is based on the use of non-local characteristics to describe the interpolation nodes. With that the one-parameter family of fractal curves is used as the basic approximating elements.

Słowa kluczowe

EN

fractal interpolation method; image recording formats; fractal dimension; multifractal analysis; non-local characteristics

• Wydawca: Społeczna Akademia Nauk w Łodzi
• Czasopismo: Journal of Applied Computer Science Methods
• Rocznik: 2012
• Tom: Vol. 4 No. 2
• Strony: 41--54
• Opis fizyczny: Bibliogr. 20 poz., rys.

Twórcy

autor

Siwocha A.

• IT Institute, University of Management, Lodz, Poland

autor

Cader A.

• IT Institute, University of Management, Lodz, Poland

autor

Kolibabka M.

• IT Institute, University of Management, Lodz, Poland

autor

Krupski M.

• Department of Computer Science in Economics Institute of Applied Economics and Informatics Faculty of Economics and Sociology University of Lodz, Poland

Bibliografia

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• 3. Barnsley, M. F. and Demko, S. 1985: Iterated function systems and the global construction of fractals. Proc. R. Soc. London, A 399, 243–275
• Barnsley, M. F. 1996: Fractal image compression. Notices AMS, 43, 657–662
• 4. Barnsley, M. F. and Hurd, L. P. 1992: Fractal Image Compression. A. K. Peters, Boston, MA,
• 5. Jacquin, A. 1992: Image coding based on a fractal theory of iterated contractive image transformations. IEEE Trans. Image Processing, 1, 18–30
• 6. Brammer, R. F. 1989: Unified image computing based on fractals and chaos model techniques. Optical Eng., 28, 726–734
• 7. Dubuc, S. and Elqortobi, A. 1990: Approximations of fractal sets. J. Comput. Appl. Math., 29, 79–89
• 8 Fisher, Y. 1995: Fractal Image Compression. Springer, Berlin
• 9. Goodman, G. S. 1991: A probabilist looks at the chaos game. In Peitgen, H. O. et al. (eds), Fractals in the Fundamental and Applied Sciences, Proc. 1st IFIP Conf. on Fractals, Lisbon, 1990, pp. 159–168. Elsevier
• 10 Hepting, D. and Prusinkiewich, P. 1991: Rendering methods for iterated function systems. In Peitgen, H. O. et al. (eds) Fractals in the Fundamental and Applied Sciences, Proc. 1st IFIP Conf. on Fractals, Lisbon, 1990, pp. 183–224. Elsevier
• 11. Hoggar, S.G. and McFarlane, I. 1994: Optimal sequences for non-uniform iterated function systems. Bulletin Inst. Combin. Applic., 12, 65–92
• 12. Monro D. M., Wilson D. L. and Nicholls J. A. 1993: High speed image encoding with the bath fractal transform. In Proc. IEEE Symp. Multimedia Technologies and Future Applications, Signal Processing Chapter, Southampton, April
• 13. Turiel A., Mato G., Parga N., and Nadal J. P. 1998: The self-similarity properties of natural images resemble those of turbulent flows. Physical Review Letters, vol. 80, pp. 1098–1101
• 14. Turiel A, Parga N., Ruderman D., and Cronin T. 2000: Multiscaling and information content of natural color images. Physical Review E, vol. 62, pp.1138–1148,
• 15. Halsey T. C., Jensen M. H., Kadanoff L. P., Procaccia I., Shraiman B. I. 1986: Fractal measures and their singularities: The characterization of strange sets. Phys. Rev. A 33, 1141,
• 16. Voss, R. 1986: Random fractals: characterisation and measurement. In Scaling Phenomena in Disordered Systems, edited by R. Pynn and A. Skjeltorp, New York: Plenum Press, 1–11.
• 17. Cader A., Krupski M. 2006.: New interpolation method with fractal curves, In: Artificial Intelligence and Soft Computing. Lecture Notes in Artificial Intelligence. Springer
• 18. Krupski M., Siwocha A., Cader A. 2006: Interpolacja fraktalna w grafice komputerowej - wykorzystanie nowej metody, Przetwarzanie i analiza sygnałów w systemach wizji i sterowania, Słok k/Bełchatowa
• 19. Krupski M., Siwocha A., Cader A. 2010: The possibility of using fractal interpolation in computer graphics, Some New Ideas and Research Results in Computer Science Academic, In: Rutkowska D., Kacprzyk J., Cader A., Przybyszewski K., Publishing House EXIT, Warszawa
• 20. Siwocha A., Krupski M., Cader A. 2010: The concept of fractal picture compression, Some New Ideas and Research Results in Computer Science Academic, In: Rutkowska D., Kacprzyk J., Cader A., Przybyszewski K., Publishing House EXIT, Warszawa

Uwagi

Błędna numeracja bibliografii (brak numeru przy czwartej z rzędu pozycji)