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A Novel Initialization for Quantum Evolutionary Algorithms Based on Spatial Correlation in Images for Fractal Image Compression

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Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 96))

Abstract

Quantum Evolutionary Algorithm (QEA) is a novel optimization algorithm proposed for class of combinatorial optimization problems.While Fractal Image Compression problem is considered as a combinatorial problem, QEA is not widely used in this problem yet. Using the spatial correlation between the neighbouring blocks, this paper proposes a novel initialization method for QEA. In the proposed method the information gathered from the previous searches for the neighbour blocks is used in the initialization step of search process of range blocks. Then QEA starts searching the search space to find the best matching domain block. The proposed algorithmis tested on several images for several dimensions and the experimental results shows better performance for the proposed algorithm than QEA and GA. In comparison with the full search algorithm, the proposed algorithm reaches comparable results with much less computational complexity.

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References

  1. Xing-yuan, W., Fan-ping, L., Shu-guo, W.: Fractal image compression based on spatial correlation and hybrid genetic algorithm. Journal of vis. commun. image R, 505–510 (2009)

    Google Scholar 

  2. Xuan, Y., Dequn, L.: An improved genetic algorithm of solving IFS code of fractal image. In: IEEE 3rd international conference on signal processing (1996)

    Google Scholar 

  3. Chen, X., Zhu, G., Zhu, Y.: Fractal image coding method based on genetic algorithms. In: International Symposium on Multispectral Image Processing (1998)

    Google Scholar 

  4. Mitra, S.K., Murthy, C.A., Kundu, M.K.: Technique for fractal image compression using genetic algorithm. IEEE Trans. on Image Processing 7(4), 586–593 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  5. Xun, L., Zhongqiu, Y.: The application of GA in fractal image compression. In: 3rd IEEEWorld Congress on Intelligent Control and Automation (2000)

    Google Scholar 

  6. Gafour, A., Faraoun, K., Lehireche, A.: Genetic fractal image compression. In: ACS/IEEE International Conference on Computer Systems and Applications (2003)

    Google Scholar 

  7. Mohamed, F.K., Aoued, B.: Speeding Up Fractal Image Compression by Genetic Algorithms. Springer Journal of Multidimention Systems and Signal processing 16(2) (2005)

    Google Scholar 

  8. Xi, L., Zhang, L.: A Study of Fractal Image Compression Based on an Improved Genetic Algorithm. International Journal of Nonlinear Science 3(2), 116–124m (2007)

    MathSciNet  Google Scholar 

  9. Wu, M., Teng, W., Jeng, J., Hsieh, J.: Spatial correlation genetic algorithm for fractal image compression. Journal of Chaos, Solitons and Fractals 28(2), 497–510 (2006)

    Article  MATH  Google Scholar 

  10. Wu, M., Jeng, J., Hsieh, J.: Schema genetic algorithm for fractal image compression. Elsevier Journal of Engineering Applications of Artificial Intelligence 20(4), 531–538 (2007)

    Article  Google Scholar 

  11. Han, K., Kim, J.: Quantum-inspired evolutionary algorithm for a class of combinatorial optimization. IEEE Transactions on Evolutionary Computing 6(6) (2002)

    Google Scholar 

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Tayarani N., M.H., Bennett, A.P., Beheshti, M., Sabet, J. (2011). A Novel Initialization for Quantum Evolutionary Algorithms Based on Spatial Correlation in Images for Fractal Image Compression. In: Gaspar-Cunha, A., Takahashi, R., Schaefer, G., Costa, L. (eds) Soft Computing in Industrial Applications. Advances in Intelligent and Soft Computing, vol 96. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20505-7_28

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  • DOI: https://doi.org/10.1007/978-3-642-20505-7_28

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-20504-0

  • Online ISBN: 978-3-642-20505-7

  • eBook Packages: EngineeringEngineering (R0)

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