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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5226))

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Abstract

For restoring a degraded image, reconstruction algorithms with images inferred by self-organizing maps are presented in this study. Multiple images inferred by self-organizing maps are prepared in the initial stage, which creates a map containing one unit for each pixel. Utilizing pixel values as input, image inference is conducted by self-organizing maps. An updating function with threshold according to the difference between input value and inferred value is introduced, so as not to respond to noisy input sensitively. The inference of an original image proceeds appropriately since any pixel is influenced by neighboring pixels corresponding to the neighboring setting. By using the inferred images, two approaches are presented. The first approach is that a pixel value of a restored image is a median value of inferred images for respective pixels. The second approach is that a pixel value is an average value of them. Experimental results are presented in order to show that our approach is effective in quality for image restoration.

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References

  1. Grossberg, S.: Adaptive Pattern Classification and Universal Recoding: I. Parallel Development and Coding of Neural Feature Detectors. Biol. Cybern. 23, 121–134 (1976)

    Article  MATH  MathSciNet  Google Scholar 

  2. Willshaw, D.J., Malsburg, C.: How Patterned Neural Connections Can be Set Up by Self-organization. Proc. R. Soc. Lond. B. 194, 431–445 (1976)

    Article  Google Scholar 

  3. Hertz, J., Krogh, A., Palmer, R.G.: Introduction to the Theory of Neural Computation. Addison-Wesley, Reading (1991)

    Google Scholar 

  4. Kohonen, T.: Self-organizing Maps. Springer, Berlin (1995)

    Google Scholar 

  5. Villmann, T., Herrmann, M., Martinetz, T.M.: Topology Preservation in Self-organizing Feature Mmaps: Exact Definition and Measurement. IEEE Trans. Neural Networks 8, 256–266 (1997)

    Article  Google Scholar 

  6. Maeda, M., Miyajima, H., Shigei, N.: Parallel Learning Model and Topological Measurement for Self-organizing Maps. Journal of Advanced Computational Intelligence and Intelligent Informatics 11, 327–334 (2007)

    Google Scholar 

  7. Durbin, R., Willshaw, D.: An Analogue Approach to the Traveling Salesman Problem Using an Elastic Net Method. Nature 326, 689–691 (1987)

    Article  Google Scholar 

  8. Angéniol, B., Vaubois, G., Texier, J.-Y.: Self-organizing Feature Maps and the Traveling Salesman Problem. Neural Networks 1, 289–293 (1988)

    Article  Google Scholar 

  9. Ritter, H., Schulten, K.: On the Stationary State of Kohonen’s Self-organizing Sensory Mapping. Biol. Cybern. 54, 99–106 (1986)

    Article  MATH  Google Scholar 

  10. Ritter, H., Schulten, K.: Convergence Properties of Kohonen’s Topology Conserving Maps, Fluctuations, Stability, and Dimension Selection. Biol. Cybern. 60, 59–71 (1988)

    Article  MATH  MathSciNet  Google Scholar 

  11. Maeda, M., Miyajima, H.: Competitive Learning Methods with Refractory and Creative Approaches. IEICE Trans. Fundamentals E82–A, 1825–1833 (1999)

    Google Scholar 

  12. Maeda, M., Shigei, N., Miyajima, H.: Adaptive Vector Quantization with Creation and Reduction Grounded in the Equinumber Principle. Journal of Advanced Computational Intelligence and Intelligent Informatics 9, 599–606 (2005)

    Google Scholar 

  13. Geman, S., Geman, D.: Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images. IEEE Trans. Pattern Anal. Mach. Intel. 6, 721–741 (1984)

    MATH  Google Scholar 

  14. Maeda, M., Miyajima, H.: State Sharing Methods in Statistical Fluctuation for Image Restoration. IEICE Trans. Fundamentals E87-A, 2347–2354 (2004)

    Google Scholar 

  15. Maeda, M.: A Relaxation Algorithm Influenced by Self-organizing Maps. In: Kaynak, O., Alpaydın, E., Oja, E., Xu, L. (eds.) ICANN 2003 and ICONIP 2003. LNCS, vol. 2714, pp. 546–553. Springer, Heidelberg (2003)

    Google Scholar 

  16. Maeda, M., Shigei, N., Miyajima, H.: Learning Model in Relaxation Algorithm Influenced by Self-organizing Maps for Image Restoration. IEEJ Trans. Electrical & Electronic Engineering 3, 404–412 (2008)

    Article  Google Scholar 

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Maeda, M. (2008). Reconstruction Algorithms with Images Inferred by Self-organizing Maps. In: Huang, DS., Wunsch, D.C., Levine, D.S., Jo, KH. (eds) Advanced Intelligent Computing Theories and Applications. With Aspects of Theoretical and Methodological Issues. ICIC 2008. Lecture Notes in Computer Science, vol 5226. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87442-3_155

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  • DOI: https://doi.org/10.1007/978-3-540-87442-3_155

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-87440-9

  • Online ISBN: 978-3-540-87442-3

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