Fractal-classic interpolants

M. A. Navascués, and M. V. Sebastián. "Fractal-classic interpolants." Banach Center Publications 84.1 (2009): 173-180. <http://eudml.org/doc/282375>.

@article{M2009,
abstract = {The methodology of fractal interpolation is very useful for processing experimental signals in order to extract their characteristics of complexity. We go further and prove that the Iterated Function System involved may also be used to obtain new approximants that are close to classical ones. In this work a classical function and a fractal function are combined to construct a new interpolant. The fractal function is first defined as a perturbation of a classical mapping. The additional condition of proximity to another interpolant leads to a problem of convex optimization whose solution is a fractal element with mixing properties. This procedure may be applied to the reduction of the regularity order of traditional approximants and for the computation of models with rich geometric structure.},
author = {M. A. Navascués, M. V. Sebastián},
journal = {Banach Center Publications},
keywords = {iterated function system; affine fractal interpolation functions},
language = {eng},
number = {1},
pages = {173-180},
title = {Fractal-classic interpolants},
url = {http://eudml.org/doc/282375},
volume = {84},
year = {2009},
}

TY - JOUR
AU - M. A. Navascués
AU - M. V. Sebastián
TI - Fractal-classic interpolants
JO - Banach Center Publications
PY - 2009
VL - 84
IS - 1
SP - 173
EP - 180
AB - The methodology of fractal interpolation is very useful for processing experimental signals in order to extract their characteristics of complexity. We go further and prove that the Iterated Function System involved may also be used to obtain new approximants that are close to classical ones. In this work a classical function and a fractal function are combined to construct a new interpolant. The fractal function is first defined as a perturbation of a classical mapping. The additional condition of proximity to another interpolant leads to a problem of convex optimization whose solution is a fractal element with mixing properties. This procedure may be applied to the reduction of the regularity order of traditional approximants and for the computation of models with rich geometric structure.
LA - eng
KW - iterated function system; affine fractal interpolation functions
UR - http://eudml.org/doc/282375
ER -