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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 39, Iss. 17 — Jun. 10, 2000
  • pp: 2959–2964

Direct control of fractal pattern generation on an optical fractal synthesizer

Toru Sasaki, Jun Tanida, and Yoshiki Ichioka  »View Author Affiliations


Applied Optics, Vol. 39, Issue 17, pp. 2959-2964 (2000)
http://dx.doi.org/10.1364/AO.39.002959


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Abstract

We propose a method for direct control of position, rotation, and scaling of fractal patterns generated on an optical fractal synthesizer. In this method we introduce an iterated-function-system mother function to produce control parameters for arbitrary fractal patterns. We implemented the method experimentally and verified the effectiveness of the method.

© 2000 Optical Society of America

OCIS Codes
(100.1160) Image processing : Analog optical image processing
(200.3050) Optics in computing : Information processing
(200.4960) Optics in computing : Parallel processing

Citation
Toru Sasaki, Jun Tanida, and Yoshiki Ichioka, "Direct control of fractal pattern generation on an optical fractal synthesizer," Appl. Opt. 39, 2959-2964 (2000)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-39-17-2959


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References

  1. B. B. Mandelbrot, The Fractal Geometry Of Nature (Freeman, New York, 1977).
  2. H. Peitgen, H. Jürgens, and D. Saupe, Chaos and Fractals (Springer-Verlag, New York, 1992).
  3. M. Barnsley, Fractals Everywhere (Academic, San Diego, Calif., 1988).
  4. A. Jacquin, “Image coding based on a fractal theory of iterated contractive image transformation,” IEEE Trans. Image Process. 1, 18–30 (1992).
  5. N. Lu, Fractal Imaging (Academic, San Diego, 1997).
  6. G. Held and T. R. Marshall, Data and Image Compression (Wiley, Chichester, UK, 1996).
  7. J. Tanida, A. Uemoto, and Y. Ichioka, “Optical fractal synthesizer: concept and experimental verification,” Appl. Opt. 32, 653–658 (1993).
  8. T. Sasaki, J. Tanida, and Y. Ichioka, “Optical implementation of high-accuracy computing based on interval arithmetic and fixed point theorem,” Opt. Eng. 38, 508–513 (1999).

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