English

A multiresolution algorithm to approximate the Hutchinson measure for IFS and GIFS

Dynamical Systems 2020-07-15 v2

Abstract

We introduce the discrete version of the Hutchinson--Barnsley theory providing algorithms to approximate the Hutchinson measure for iterated function systems (IFS) and generalized iterated function systems (GIFS) complementing the discrete version of the deterministic algorithm considered in our previous work DOS to generate attractors of both classical and fuzzy IFS and GIFS.

Keywords

Cite

@article{arxiv.1909.03052,
  title  = {A multiresolution algorithm to approximate the Hutchinson measure for IFS and GIFS},
  author = {Rudnei D. da Cunha and Elismar R. Oliveira and Filip Strobin},
  journal= {arXiv preprint arXiv:1909.03052},
  year   = {2020}
}

Comments

31 figures. arXiv admin note: text overlap with arXiv:1907.01094

R2 v1 2026-06-23T11:08:05.999Z