Non-linear Fractal Interpolating Functions
Chaotic Dynamics
2007-05-23 v1
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.
Cite
@article{arxiv.nlin/0112010,
title = {Non-linear Fractal Interpolating Functions},
author = {R. Kobes and H. Letkeman},
journal= {arXiv preprint arXiv:nlin/0112010},
year = {2007}
}
Comments
7 pages, 2 figures, uses revtex4