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Automatic Generation of Affine IFS and Strongly Typed Genetic Programming

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Book cover Genetic Programming (EuroGP 1999)

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Abstract

Iterated Function Systems (IFS) are recursive systems that have applications in modeling, animation and, Fractal Image Compression. IFS can be represented as arrays of floating point constants or, as shown in this paper, hierarchical data structures and therefore are good candidates for evolutionary applications. This paper describes a Strongly Typed Genetic Programming (STGP) approach to the automatic generation and evolution of 2D affine IFS, and affine maps in general. We explain the nature of the encoding used in conjunction with STGP, and demonstrate with examples its application to the inverse problem for IFS.

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References

  1. Angeline, J. P. Evolving Fractal Movies, Genetic Programming 1996: Proceedings of the first Annual Conference, Pages 503–511, MIT Press, (1996)

    Google Scholar 

  2. Barnsley, M. F. Fractals Everywhere, Academic Press, (1988)

    Google Scholar 

  3. Barnsley, M. F., and Hurd, L. P. Fractal Image Compression, AK Peters, (1993)

    Google Scholar 

  4. Cretin, G. Lutton, E. Levy-Vehel, J. and Roll C. Mixed IFS: Resolution of the Inverse Problem Using Genetic Programming, Artificial Evolution, volume 1063 of LNCS, Springer Verlag, (1996) 247–258

    Chapter  Google Scholar 

  5. Borgefors, G. Distance Transformation in arbitrary dimension. Computer Vision, Graphics, and Image Processing 27, (1984) 231–345

    Article  Google Scholar 

  6. Hutchinson, J. E.: Fractals and Self Similarity. Indiana University Journal, Vol. 35, No. 5, (1981)

    Google Scholar 

  7. Jacob C.: Evolving Evolution Programs: Genetic Programming and L-Systems, Genetic Programming 1996: Proceedings of the first Annual Conference, MIT Press (1996) 107–115

    Google Scholar 

  8. Koza, J. R.: Genetic Programming: On the Programming of Computers by Means of Natural Selection, MIT Press (1992)

    Google Scholar 

  9. Montana, D. J.: BBN Technical Report #7866:Strongly Typed Genetic Programming. Bolt Beranek and Newman, Inc. 10 Moulton Street, Cambridge, MA 02138, USA, March 25 (1994)

    Google Scholar 

  10. Nettleton, D. J. and Garigliano, R.: Evolutionary algorithms and the construction of fractals: solution of the inverse problem. Biosystems (33), Elsevier Science (1994) 221–231

    Article  Google Scholar 

  11. Redmill, D. W. Bull, D. R. and Martin, R. R.: Genetic algorithms for fast search in fractal image coding. In R. Ansari and M. J. Smith, editors, Visual Communications and Image Processing ’96, volume 2727, SPIE Proceedings (1996) 1367–1376

    Google Scholar 

  12. Saupe, D. and Ruhl, M. 1996: Evolutionary fractal image compression. In Proceedings ICIP-96 (IEEE International Conference on Image Processing), volume I, Lausanne, Switzerland, September (1996) 129–132

    Article  Google Scholar 

  13. Vences, L. and Rudomin, I.: Fractal Compression of single images and image sequences using genetic algorithms The Eurographics Association (1994)

    Google Scholar 

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© 1999 Springer-Verlag Berlin Heidelberg

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Sarafopoulos, A. (1999). Automatic Generation of Affine IFS and Strongly Typed Genetic Programming. In: Poli, R., Nordin, P., Langdon, W.B., Fogarty, T.C. (eds) Genetic Programming. EuroGP 1999. Lecture Notes in Computer Science, vol 1598. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48885-5_12

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  • DOI: https://doi.org/10.1007/3-540-48885-5_12

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65899-3

  • Online ISBN: 978-3-540-48885-9

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