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A New Optimization Algorithm of Kinoforms Based on Simulated Annealing

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Knowledge-Based Intelligent Information and Engineering Systems (KES 2007)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4693))

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Abstract

A new optimization scheme based on Simulated Annealing (SA) is proposed for synthesizing the kinoforms. An initial kinoform is obtained by the Fourier transform of the input image with a random phase. The random phase distribution is then optimized by simulated annealing in order to reduce the variance of the spectrum. Compared with conventional SA-based method, in which optimization is performed to the kinoform, the proposed method can significantly improve the convergence and reduce the computation cost.

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References

  1. Lee, W.H.: Sampled Fourier-transform hologram generated by computer. Appl. Opt., 9, 639–643 (1970)

    Article  Google Scholar 

  2. Lohmann, A.W., Paris, D.P.: Binary Fraunhofer Holograms. Generated by Computer. Opt., 6, 1739–1747 (1967)

    Google Scholar 

  3. Lesem, L.P., Hirsch, P.M., Jordan Jr., J.A.: The kinoform: a new wave front reconstruction device. IBM J. Res. Dev. 13, 150–155 (1969)

    Article  Google Scholar 

  4. Sasagawa, T.: A multiple imaging system using holographic optical elements for laser machining. IEICE Technical Report 97(90), 1–6 ( in Japanese, 1997)

    Google Scholar 

  5. Takeda, Y., Oshida, Y., Miyaura, Y.: Random Phase Shifters for Fourier Transformed Holograms. Appl. Opt., 11(4), 819–822 (1972)

    Article  Google Scholar 

  6. Seldowitz, M.A., Allebach, J.P., Sweeney, D.W.: Synthesis of digital holograms by direct binary search. Appl. Opt. 26, 2778–2798 (1987)

    Article  Google Scholar 

  7. Yoshikawa, N., Yatagai, T.: Phase optimization of two-dimensional Fourier kinoform by simulated annealing. Appl. Opt. 33, 863–858 (1994)

    Google Scholar 

  8. Nozaki, S., Chen, Y.W., Nakao, Z.: An Adaptive Simulated Annealing Applied to Opimization of Phase Distribution of Kinoform. In: Methodlogies for the Conception, Design and Application of Soft Computing (Proceedings of IIZUKA ’98), pp. 979–982 (1998)

    Google Scholar 

  9. Chen, Y.W., Yamauchi, S., Wang, N., Nakao, Z.: A fast kinoform optimization algorithm based on simulated annealing. IEICE Trans. Fundamentals  E83-A, 774–776 (2000)

    Google Scholar 

  10. Nozaki, S., Chen, Y.W., Nakao, Z.: A New Approach Based on Simulated Annealing to Kinoform Optimization. In: Proc. of SPIE, vol. 3956A-16 (2000)

    Google Scholar 

  11. Yoshikawa, N., Yatagai, T.: Quantized phase optimization of two-dimensional Fourier kinoforms by a genetic algorithm. Opt. Lett. 20, 752–754 (1995)

    Article  Google Scholar 

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© 2007 Springer-Verlag Berlin Heidelberg

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Nozaki, S., Chen, YW., Nakao, Z. (2007). A New Optimization Algorithm of Kinoforms Based on Simulated Annealing. In: Apolloni, B., Howlett, R.J., Jain, L. (eds) Knowledge-Based Intelligent Information and Engineering Systems. KES 2007. Lecture Notes in Computer Science(), vol 4693. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74827-4_39

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  • DOI: https://doi.org/10.1007/978-3-540-74827-4_39

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74826-7

  • Online ISBN: 978-3-540-74827-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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