Novel method of fractal approximation

  title={Novel method of fractal approximation},
  author={K. Igudesman and G. Shabernev},
  journal={Lobachevskii Journal of Mathematics},
We introduce new method of optimization for finding free parameters of affine iterated function systems (IFS), which are used for fractal approximation. We provide the comparison of effectiveness of fractal and quadratic types of approximation, which are based on a similar optimization scheme, on the various types of data: polynomial function, DNA primary sequence, price graph and graph of random walking. 

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Fractals and self similarity
  • Indiana Univ. Math. J.,
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Fractals and self similarity
  • Indiana Univ . Math . J .