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Toward the Optimal Decomposition of Arbitrarily Shaped Structuring Elements by Means of a Genetic Approach

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Mathematical Morphology and its Applications to Image and Signal Processing

Part of the book series: Computational Imaging and Vision ((CIVI,volume 5))

Abstract

The decomposition of a binary morphological structuring element is a well-known problem that has often been addresses in the literature. This work present a new approach based on an Evolution Program: using an iterative stochastic technique, it allows to determine the optimal decomposition of an arbitrarily shaped binary morphological structuring element into the shortest chain of elementary factors chosen from a given set.

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References

  1. G. Adorni, A. Broggi, G. Conte, and V. D’Andrea. Real-Time Image Processing for Automotive Applications. In P. A. Laplante and A. D. Stoyenko, editors, Real-Time Image Processing: Theory, Techniques and Applications. IEEE Press and SPIE Press, Summer 1996. In press.

    Google Scholar 

  2. P. Angeline, G. Saunders, and J. Pollack. An Evolutionary Algorithm That Constructs Recurrent Neural Networks. IEEE Trans on Neural Networks, 5:54–65, January 1994.

    Article  Google Scholar 

  3. A. Broggi. Speeding-up Mathematical Morphology Computations with Special-Purpose Array Processors. In Procs of 27th IEEE HICSS, I:321–330,1994.

    Google Scholar 

  4. A. Broggi, G. Conte, F. Gregoretti, C. Sansoè, and L. M. Reyneri. The PAPRICA Massively Parallel Processor. In Procs IEEE MPCS, pages 16–30, 1994.

    Google Scholar 

  5. A. Broggi, G. Conte, F. Gregoretti, C. Sansoè, and L. M. Reyneri. The Evolution of the PAPRICA System. Integrated Computer-Aided Engineering Journal, 1995. In press.

    Google Scholar 

  6. D.E. Goldberg, B. Korb, and K. Deb Messy Genetic Algorithms: Motivation, Analysis and First Results. Complex Systems, 3:493–530, 1989.

    MathSciNet  MATH  Google Scholar 

  7. E. Falkenauer. A New Representation and Operators for Genetic Algorithms Applied to Grouping Problems. Evolutionary Computation, 2(2), 1994.

    Google Scholar 

  8. D. Fogel. An introduction to Simulated Evolutionary Optimization. IEEE Trans on Neural Networks, 5:3–14, January 1994.

    Article  Google Scholar 

  9. D. Goldberg. Genetic Algorithms in Search, Optimization and Machine Learning. Addison Wesley, Readings, MA, 1989.

    MATH  Google Scholar 

  10. M. Srinivas and L. M. Patnaik Adaptive Probabilities of Crossover and Mutation in Genetic Algorithm. 24(4), Apr 1994.

    Google Scholar 

  11. Z. Michalewicz. Genetic Algorithms + Data Structures = Evolution Programs. Springer-Verlag, Berlin, 1992.

    MATH  Google Scholar 

  12. H. Park and R. T. Chin. Optimal Decomposition of Convex Structuring Elements for a 4-Connected Parallel Array Processor. IEEE Trans on PAMI, 16(3), March 1994.

    Google Scholar 

  13. H. Park and R. T. Chin. Decomposition of Arbitrarily Shaped Morphological Structuring Elements. IEEE Trans on PAMI, 17(1), January 1995.

    Google Scholar 

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© 1996 Kluwer Academic Publishers

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Anelli, G., Broggi, A., Destri, G. (1996). Toward the Optimal Decomposition of Arbitrarily Shaped Structuring Elements by Means of a Genetic Approach. In: Maragos, P., Schafer, R.W., Butt, M.A. (eds) Mathematical Morphology and its Applications to Image and Signal Processing. Computational Imaging and Vision, vol 5. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0469-2_26

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  • DOI: https://doi.org/10.1007/978-1-4613-0469-2_26

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-8063-4

  • Online ISBN: 978-1-4613-0469-2

  • eBook Packages: Springer Book Archive

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