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Fractal pattern for a butterfly wing

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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.

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References

  • Barnsley M (1988) Fractals everywhere. Academic, San Diego

    Google Scholar 

  • Devaney RL (1987) An introduction to chaotic dynamical systems, Addison-Wesley, MA

    Google Scholar 

  • Hamano E (1986) Ecological encyclopedia of Taiwanese butterflies. Kodansha, Tokyo

    Google Scholar 

  • Keith M (1989) Artistic choice in the display of chaotic dynamics. Comput & Graph 13(3):393–395

    Google Scholar 

  • Lee JY, Chang YC (1988) The illustrations of butterflies in Taiwan. The Taiwan Museum, Taipei

    Google Scholar 

  • Lewis JP (1989) Algorithms for solid noise synthesis. Comput Graph 23(3):263–270

    Google Scholar 

  • Mandelbrot BB (1982) The fractal geometry of nature. Freeman, New York

    Google Scholar 

  • Miyata K (1990) A method of generating stone wall patterns. Comput Graph 24(4):387–394

    Google Scholar 

  • Murray JD (1981) On pattern formation mechanisms for Lepidopteran wing patterns and mammalian coat markings. Philosoph Transac Roy Soc (B)295:473–496

    Google Scholar 

  • Peachey DR (1985) Solid texturing of complex surfaces. Comput Graph 19(3):286–279

    Google Scholar 

  • Peitgen HO (1989) Newton's method and dynamical systems. Kluwer

  • Peitgen HO, Richter PH (1986) The beauty of fractals. Springer, Berlin Heidelberg New York

    Google Scholar 

  • Peitgen HO, Saupe D (1989) The science of fractal images. Springer, New york

    Google Scholar 

  • Perlin K (1985) An image synthesizer. Comput Graph 19(3):287–296

    Google Scholar 

  • Perlin K (1989) Hypertexture. Comput Graph 23(3):253–262

    Google Scholar 

  • Pickover CA (1988) A note on chaos and Halley's method. Commun ACM 31:1326–1329

    Google Scholar 

  • Smith AR (1987) Planar 2-pass texture mapping and warping. Comput Graph 21(4):263–272

    Google Scholar 

  • Szyszkowicz M (1989) Computer graphics generated by numerical iteration. Comput & Graph 13(1):121–126

    Google Scholar 

  • Turk G (1991) Generating textures on arbitrary surfaces using reaction-diffusion. Comput Graph 25(4):289–298

    Google Scholar 

  • Watt A, Watt M (1992) Advanced animation and redering lechniques. Addison-Wesley, New York

    Google Scholar 

  • Witkin A, Kass M (1991) Reaction-diffusion textures. Comput Graph 25(4):299–308

    Google Scholar 

Download references

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Dai, WK., Chang, RC. & Shih, ZC. Fractal pattern for a butterfly wing. The Visual Computer 11, 177–187 (1995). https://doi.org/10.1007/BF01901514

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