# A multiresolution algorithm to generate images of generalized fuzzy   fractal attractors

**Authors:** Rudnei D. da Cunha, Elismar R. Oliveira, Filip Strobin

arXiv: 1907.01094 · 2019-07-03

## TL;DR

This paper introduces a multiresolution algorithm for generating images of generalized fuzzy fractal attractors, improving approximation methods and extending classical fractal image generation techniques.

## Contribution

The paper presents a novel multiresolution algorithm for fuzzy fractal attractors and explores their approximation in discrete subspaces, enhancing existing fractal image generation methods.

## Key findings

- Effective approximation of fractal operators in discrete spaces
- Extension of classical IFS and GIFS image generation techniques
- Improved algorithms for fuzzy fractal attractor visualization

## Abstract

We provide a new algorithm to generate images of the generalized fuzzy fractal attractors described in Oliveira-2017. We also provide some important results on the approximation of fractal operators to discrete subspaces with application to discrete versions of the deterministic algorithm for fractal image generation in the cases of IFS recovering the classical images from Barnsley et al., Fuzzy IFS from Cabrelli-1992 and GIFS's from Jaros-2016.

## Full text

_Full body text omitted from this summary view._ Fetch the complete paper as Markdown: https://tomesphere.com/paper/1907.01094/full.md

## Figures

64 figures with captions in the complete paper: https://tomesphere.com/paper/1907.01094/full.md

## References

17 references — full list in the complete paper: https://tomesphere.com/paper/1907.01094/full.md

---
Source: https://tomesphere.com/paper/1907.01094