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Mathematical Morphology: 40 Years On pp 333–342Cite as

Stochastic Shape Optimisation

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Part of the Computational Imaging and Vision book series (CIVI,volume 30)

Abstract

We present a constrained shape optimisation problem solved via metaheuristic stochastic techniques. Genetic Algorithms are briefly reviewed and their adaptation to surface topography optimisation is studied. An application to flow optimisation issues is presented.

Keywords

  • Shape
  • Topography
  • Stochastic Optimisation
  • Genetic Algorithms

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References

  1. D.E. Goldberg, Genetic Algorithms in Search, Optimization and machine Learning, Addison-Wesley, 1989.

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  4. J.H. Holland, Adaptation in Natural and Artificial Systems, MIT Press/Bradford Books, 1992.

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  5. Marc Schoenauer and Spyros Xanthakis, Constrained GA optimization, Proceedings of the 5th International Conference on Genetic Algorithms, Urbana Champaign, 1993.

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  6. Neal R. Harvey and Stepehen Mmarshall, The use of Genetic Algorithms in morphological filter design, Signal Processing: Image Communication, n. 8, p. 55–71, 1996.

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  7. Neal R. Harvey and Stepehen Marshall, Grey-Scale Soft Morphological Filter Optimization by Genetic Algorithms, University of Strathclyde, Glasgow, 1997.

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  8. C. A. Caciu and E. Decencière, Etude numérique de l’écoulement 3D d’un fluide visqueux incompressible entire une plaque lisse et une plaque rugueuse, N-03/04/MM, Centre de Morphologie Mathematique, ENSMP, 2004.

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Author information

Authors and Affiliations

  1. Centre de Morphologie Mathématique, Ecole des Mines de Paris, 35, rue Saint Honoré, 77300, Fontainebleau, France

    Costin Alin Caciu, Etienne Decencière & Dominique Jeulin

Authors
  1. Costin Alin Caciu
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  2. Etienne Decencière
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  3. Dominique Jeulin
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Editor information

Editors and Affiliations

  1. LSIIT, UMR 7005 CNRS-ULP, Illkirch, France

    Christian Ronse

  2. A2SI-ESIEE/IGM, UMR 8049 CNRS-UMLV, Noisy-le-Grand, France

    Laurent Najman

  3. CMM, École des Mines de Paris, Fontainebleau, France

    Etienne Decencière

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© 2005 Springer

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Cite this paper

Caciu, C.A., Decencière, E., Jeulin, D. (2005). Stochastic Shape Optimisation. In: Ronse, C., Najman, L., Decencière, E. (eds) Mathematical Morphology: 40 Years On. Computational Imaging and Vision, vol 30. Springer, Dordrecht. https://doi.org/10.1007/1-4020-3443-1_30

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  • DOI: https://doi.org/10.1007/1-4020-3443-1_30

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-3442-8

  • Online ISBN: 978-1-4020-3443-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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