Non-linear Fractal Interpolating Functions

Details Non-linear Fractal Interpolating Functions Non-linear Fractal Interpolating Functions

2001-12-07

arxiv.org/abs/nlin/0112010v1

Nonlinear Sciences

Chaotic Dynamics

7 pages, 2 figures, uses revtex4

Scientific paper

We consider two non-linear generalizations of fractal interpolating functions generated from iterated function systems. The first corresponds to fitting data using a Kth-order polynomial, while the second relates to the freedom of adding certain arbitrary functions. An escape-time algorithm that can be used for such systems to generate fractal images like those associated with Julia or Mandelbrot sets is also described.

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