Advertisement

The Visual Computer

, Volume 11, Issue 4, pp 177–187 | Cite as

Fractal pattern for a butterfly wing

  • Wen-Kai Dai
  • Ruei-Chuan Chang
  • Zen-Chung Shih
Article

Abstract

The texture pattern of abutterfly wing is very complicated but beautiful. We propose a new and effective procedural texture generation approach using the traits of iteration behavior to synthesize the texture patterns of a butterfly wing realistically. Based on the traits of the iteration process, the graphical behaviors near and between attractive fixed points can model the pattern ofeyelike spots andriverlike bands, respectively. Some realistic wing patterns are presented to show the effectiveness of this method.

Key words

Texture Fractals Newton's method Iteration Dynamical system 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Barnsley M (1988) Fractals everywhere. Academic, San DiegoGoogle Scholar
  2. Devaney RL (1987) An introduction to chaotic dynamical systems, Addison-Wesley, MAGoogle Scholar
  3. Hamano E (1986) Ecological encyclopedia of Taiwanese butterflies. Kodansha, TokyoGoogle Scholar
  4. Keith M (1989) Artistic choice in the display of chaotic dynamics. Comput & Graph 13(3):393–395Google Scholar
  5. Lee JY, Chang YC (1988) The illustrations of butterflies in Taiwan. The Taiwan Museum, TaipeiGoogle Scholar
  6. Lewis JP (1989) Algorithms for solid noise synthesis. Comput Graph 23(3):263–270Google Scholar
  7. Mandelbrot BB (1982) The fractal geometry of nature. Freeman, New YorkGoogle Scholar
  8. Miyata K (1990) A method of generating stone wall patterns. Comput Graph 24(4):387–394Google Scholar
  9. Murray JD (1981) On pattern formation mechanisms for Lepidopteran wing patterns and mammalian coat markings. Philosoph Transac Roy Soc (B)295:473–496Google Scholar
  10. Peachey DR (1985) Solid texturing of complex surfaces. Comput Graph 19(3):286–279Google Scholar
  11. Peitgen HO (1989) Newton's method and dynamical systems. KluwerGoogle Scholar
  12. Peitgen HO, Richter PH (1986) The beauty of fractals. Springer, Berlin Heidelberg New YorkGoogle Scholar
  13. Peitgen HO, Saupe D (1989) The science of fractal images. Springer, New yorkGoogle Scholar
  14. Perlin K (1985) An image synthesizer. Comput Graph 19(3):287–296Google Scholar
  15. Perlin K (1989) Hypertexture. Comput Graph 23(3):253–262Google Scholar
  16. Pickover CA (1988) A note on chaos and Halley's method. Commun ACM 31:1326–1329Google Scholar
  17. Smith AR (1987) Planar 2-pass texture mapping and warping. Comput Graph 21(4):263–272Google Scholar
  18. Szyszkowicz M (1989) Computer graphics generated by numerical iteration. Comput & Graph 13(1):121–126Google Scholar
  19. Turk G (1991) Generating textures on arbitrary surfaces using reaction-diffusion. Comput Graph 25(4):289–298Google Scholar
  20. Watt A, Watt M (1992) Advanced animation and redering lechniques. Addison-Wesley, New YorkGoogle Scholar
  21. Witkin A, Kass M (1991) Reaction-diffusion textures. Comput Graph 25(4):299–308Google Scholar

Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • Wen-Kai Dai
    • 1
  • Ruei-Chuan Chang
    • 1
  • Zen-Chung Shih
    • 1
  1. 1.Institute of Computer and Information ScienceNational Chiao Tung UniversityHsinchuTaiwan, Republic of China

Personalised recommendations