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International Workshop on Combinatorial Image Analysis

IWCIA 2012: Combinatorial Image Analaysis pp 181–195Cite as

Regional Hexagonal Tile Rewriting Grammars

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Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 7655))

Abstract

Regional tile rewriting grammars are recently introduced tiling based array rewriting grammar models on picture processing. They extend context free string grammars to rectangular array grammars with polynomial time complexity. We introduce Regional Hexagonal Tile Rewriting Grammar (RHTRG) and generate images. We have compared this model with Context Free Hexagonal Array Grammars (CFHAG) and Hexagonal Tiling Systems (HTS) and shown that RHTRG have higher generative capacity than CFHAG and incomparable with HTS and they are strictly included in the Hexagonal Tile Rewriting Grammars.

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References

  1. Cherubini, A., Crespi Reghizzi, S., Pradella, M.: Regional Languages and Tiling: A Unifying Approach to Picture Grammars. In: Ochmański, E., Tyszkiewicz, J. (eds.) MFCS 2008. LNCS, vol. 5162, pp. 253–264. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  2. Crespi Reghizyi, S., Pradella, M.: Tile Rewriting Grammars. In: Ésik, Z., Fülöp, Z. (eds.) DLT 2003. LNCS, vol. 2710, pp. 206–217. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  3. Dersanambika, K.S., Krithivasan, K., Martin-Vide, C., Subramanian, K.G.: Local and recognizable hexagonal picture languages. International Journal of Pattern Recognition and Artificial Intelligence 19, 853–871 (2005)

    Article  Google Scholar 

  4. Middleton, L., Sivaswamy, J.: Hexagonal image processing: A practical approach. Advances in Computer Vision and Pattern Recognition Series. Springer (2005)

    Google Scholar 

  5. Prussa, D.: Two-dimensional Languages. Ph.D. Thesis (2004)

    Google Scholar 

  6. Siromoney, G., Siromomey, R.: Hexagonal arrays and rectangular blocks. Computer Graphics and Image Processing 5, 353–381 (1976)

    Article  Google Scholar 

  7. Siromoney, G., Siromomey, R., Krithivasan, K.: Picture languages with array rewriting rules. Information and Control 22, 447–470 (1973)

    Article  MathSciNet  MATH  Google Scholar 

  8. Subramanian, K.G.: Hexagonal array grammars. Computer Graphics and Image Processing 10, 388–394 (1979)

    Article  Google Scholar 

  9. Thomas, D.G., Sweety, F., Kalyani, T.: Results on Hexagonal Tile Rewriting Grammars. In: Bebis, G., Boyle, R., Parvin, B., Koracin, D., Remagnino, P., Porikli, F., Peters, J., Klosowski, J., Arns, L., Chun, Y.K., Rhyne, T.-M., Monroe, L. (eds.) ISVC 2008, Part I. LNCS, vol. 5358, pp. 945–952. Springer, Heidelberg (2008)

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Author information

Authors and Affiliations

  1. Department of Mathematics, Sathyabama University, Chennai, 119, India

    Thangasamy Kamaraj

  2. Department of Mathematics, Madras Christian College, Tambaram, Chennai, 600 059, India

    Durairaj Gnanaraj Thomas

Authors
  1. Thangasamy Kamaraj
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  2. Durairaj Gnanaraj Thomas
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Editor information

Editors and Affiliations

  1. Department of Computer and Information Sciences, State University of New York at Fredonia, 280 Central Ave, 14063, Fredonia, NY, USA

    Reneta P. Barneva

  2. Mathematics Department, SUNY Buffalo State College, 1300Elmwood Ave, 14222, Buffalo, NY, USA

    Valentin E. Brimkov

  3. Department of Electrical and Computer Engineering, University of Texas at Austin, 1 University Station C0803, 78712-0240 TX, Austin, USA

    Jake K. Aggarwal

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© 2012 Springer-Verlag Berlin Heidelberg

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Kamaraj, T., Thomas, D.G. (2012). Regional Hexagonal Tile Rewriting Grammars. In: Barneva, R.P., Brimkov, V.E., Aggarwal, J.K. (eds) Combinatorial Image Analaysis. IWCIA 2012. Lecture Notes in Computer Science, vol 7655. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34732-0_14

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  • DOI: https://doi.org/10.1007/978-3-642-34732-0_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-34731-3

  • Online ISBN: 978-3-642-34732-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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