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Collage of Iso-Picture Languages and P Systems

  • Conference paper
Computational Modeling of Objects Represented in Images (CompIMAGE 2010)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 6026))

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Abstract

A new operation called collage on one-dimensional (respectively two-dimensional) word languages, obtained by piling up, one on top of the other, words of a given recognizable language on a previously empty one-dimensional (respectively two-dimensional) array, was introduced (2005). In this paper we extend the operation to iso-picture languages. We show that if L is an iso-picture language over a two letter alphabet then collage of L is recognizable. We introduce a new P system which consists of membrane structure in which the object in each membrane is a collection of iso-picture languages and the evolutionary rules are given in terms of collage operations. We obtain some properties of this P system using recognizability of collage of L.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, St. Joseph’s College of Engineering, Chennai, 119

    S. Annadurai & T. Kalyani

  2. Department of Mathematics, Madras Christian College, Chennai, 59

    V. R. Dare & D. G. Thomas

Authors
  1. S. Annadurai
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  2. V. R. Dare
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  3. T. Kalyani
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  4. D. G. Thomas
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Editor information

Editors and Affiliations

  1. Department of Computer Science, State University of New York at Fredonia, 14063, Fredonia, NY, USA

    Reneta P. Barneva

  2. Mathematics Department, SUNY Buffalo State College, 14222, Buffalo, NY, USA

    Valentin E. Brimkov

  3. Hauptman-Woodward Medical Research Institute, 700 Ellicott Street, 14203-110, Buffalo, NY, USA

    Herbert A. Hauptman

  4. University of Porto, Porto, Portugal

    Renato M. Natal Jorge

  5. Departamento de Engenharia Mecânica e Gestão Industrial, University of Porto, Rua Dr. Roberto Frias, 4200-465, Porto, Portugal

    João Manuel R. S. Tavares

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© 2010 Springer-Verlag Berlin Heidelberg

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Annadurai, S., Dare, V.R., Kalyani, T., Thomas, D.G. (2010). Collage of Iso-Picture Languages and P Systems. In: Barneva, R.P., Brimkov, V.E., Hauptman, H.A., Natal Jorge, R.M., Tavares, J.M.R.S. (eds) Computational Modeling of Objects Represented in Images. CompIMAGE 2010. Lecture Notes in Computer Science, vol 6026. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12712-0_9

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  • DOI: https://doi.org/10.1007/978-3-642-12712-0_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-12711-3

  • Online ISBN: 978-3-642-12712-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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