Primitive Optical Computing Model with Films: Boolean Conjunction of the Square Matrix-Arrayed Color Codes

Tomonori Kawano

doi:10.20965/jaciii.2013.p0791

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JACIII Vol.17 No.6 pp. 791-798

doi: 10.20965/jaciii.2013.p0791

(2013)

Paper:

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Primitive Optical Computing Model with Films: Boolean Conjunction of the Square Matrix-Arrayed Color Codes

Tomonori Kawano

The University of Kitakyushu, 1-1 Hibikino, Wakamatsu-ku, Kitakyushu, Fukuoka 808-0135, Japan

Received:

August 25, 2012

Accepted:

September 2, 2013

Published:

November 20, 2013

Keywords:

CIELAB, logic gate, natural computing

Abstract

Color is one of the most useful and attractive characteristics of light applicable to optical science and the related industries. In recent decades, a number of studies focusing on the use of light as a key component of computation have attracted considerable attention from researchers and engineers because these studies are potentially applicable to signal processing through optical interconnections between electronic devices. Such studies include the optical parallel logic gates proposed by a Japanese research group, allowing spontaneous and parallel computing with spatial coding using lights, simply by overlaying a pair of shadowgram images. For computational handling of the colors visible to human eyes, Commission Internationale de l’Eclairge has defined CIE 1976 color space (CIELAB). The author has been engaged in the development of CIELAB-based printable and computable color codes possibly used for novel optical logic gate system as one of natural computing approaches. In the present study, by employing the pairs of CIELAB-coded-printed transparent films overlaid, a Boolean operation for the crossing (conjugation) of 2-by-2 color matrices based on the scanning of CIELAB values was demonstrated. This approach is still primitive but might be a significant step for manifesting the array-based processing of colors representing print-preserved and digitalized information.

Cite this article as:

T. Kawano, “Primitive Optical Computing Model with Films: Boolean Conjunction of the Square Matrix-Arrayed Color Codes,” J. Adv. Comput. Intell. Intell. Inform., Vol.17 No.6, pp. 791-798, 2013.

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References

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This article is published under a Creative Commons Attribution-NoDerivatives 4.0 Internationa License.

[1] [1] I. Newton, “Opticks: or A Treatise of the Reflexions, Refractions, Inflexions and Colours of Light,” London, 1704.

[2] [2] H. Poincaré, “Electricité et optique. La luminére et lws theories électrodynamiques,” Georges Carré et C. Nand, Paris, 1901.

[3] [3] T. Kawano and K. Shimokawa, “Novel colorimetric index for kinetic analysis of the ethylene-induced total color changes in citrus peel: use of CIE L*a*b* color parameters,” ITE Letters, Vol.4, No.3, pp. 337-340, 2003

[4] [4] D. R. Simon, “On the power of quantum computation,” SIAM J. on Computing, Vol.26, pp. 1474-1483, 1997.

[5] [5] T. Head, X. Chen, M. Yamamura, and S. Gal, “Aqueous computing: A survey with an invitation to participate,” J. of Computer Science and Technology, Vol.17, No.6, pp. 672-681, 2002.

[6] [6] A. Kameda, M. Yamamoto, H. Uejima, M. Hagiya, K. Sakamoto, and A. Obuchi, “Hairpin-based state machine and conformational addressing: Design and experiment,” Natural Computing, Vol.4, No.2, pp. 103-126, 2005.

[7] [7] J. W. Goodman, F. J. Leonberger, S. Y. Kung, and R. A. Athale, “Optical interconnections for VLSI systems,” Proc. of the IEEE, Vol.72, No.7, pp. 850-865, 1984.

[8] [8] M. R. Feldman, S. C. Esener, C. C. Guest, and S. H. Lee, “Comparisons between optical and electrical interconnects based on power and speed considerations,” Applied Optics, Vol.27, No.9, pp. 1742-1751, 1988.

[9] [9] J. W. Goodman, “Introduction To Fourier Optics,” Roberts & Co., Green Wood Village, Colorado, USA, 2004.

[10] [10] J. Tanida and Y. Ichioka “Optical logic array processor using shadowgrams,” J. of the Optical Society of America, Vol.73, No.6, pp. 800-809, 1983.

[11] [11] J. Tanida and Y. Ichioka, “Optical-logic-array processor using shadowgrams. III. Parallel neibourhood operations and an architecture of an optical digital-computing system,” J. of the Optical Society of America A, Vol.2, No.8, pp. 1245-1253, 1985.

[12] [12] J. Tanida and Y. Ichioka, “OPALS: optical parallel array logic system,” Applied Optics, Vol.25,No.10, pp. 1565-1570, 1986.

[13] [13] T. Kawano, “Printable optical logic gates with CIELAB color coding system for Boolean operation-mediated handling of colors,” Proc. of the 2012 6th Int. Conf. on Genetic and Evolutionary Computing (ICGEC 2012), Paper ID.: ICGEC-2012-0317, 2012.

[14] [14] D. H. Brainard, “Color appearance and color difference specification,” The Science of Color, 2nd ed., S. K. Shevell (ed.), Optical Society of America, Washington D.C., pp. 191-216, 2003.