Evolving Fractal Art with a Directed Acyclic Graph Genetic Programming Representation

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  author =       "Daniel Ashlock and Jeffrey Tsang",
  title =        "Evolving Fractal Art with a Directed Acyclic Graph
                 Genetic Programming Representation",
  booktitle =    "Proceedings of 2015 IEEE Congress on Evolutionary
                 Computation (CEC 2015)",
  year =         "2015",
  editor =       "Yadahiko Murata",
  pages =        "2137--2144",
  address =      "Sendai, Japan",
  month =        "25-28 " # may,
  publisher =    "IEEE Press",
  keywords =     "genetic algorithms, genetic programming",
  URL =          "http://eldar.mathstat.uoguelph.ca/dashlock/eprints/RFSfrac.pdf",
  DOI =          "doi:10.1109/CEC.2015.7257148",
  abstract =     "A class of fractals called orbit capture fractals are
                 generated by iterating a function on a point until the
                 point's trajectory enters a capture zone. This study
                 uses a digraph based representation for genetic
                 programming to evolve functions used to generate orbit
                 capture fractals. Three variations on the genetic
                 programming system are examined using two fitness
                 functions. The first fitness function maximizes the
                 entropy of the distribution of capture numbers, while
                 the second places a geometric constraint on the
                 distribution of capture numbers. Some combinations of
                 representation and fitness function generate fractals
                 often, while others yield interesting non-fractal
                 images most of the time.",
  notes =        "0950 hrs 15492 CEC2015",

Genetic Programming entries for Daniel Ashlock Jeffrey Tsang