Non-linear Fractal Interpolating Functions
Abstract
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.
- Publication:
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arXiv e-prints
- Pub Date:
- December 2001
- DOI:
- 10.48550/arXiv.nlin/0112010
- arXiv:
- arXiv:nlin/0112010
- Bibcode:
- 2001nlin.....12010K
- Keywords:
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- Chaotic Dynamics
- E-Print:
- 7 pages, 2 figures, uses revtex4