Optimization of fractal : function using genetic algorithms - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports (Research Report) Year : 1993

Optimization of fractal : function using genetic algorithms

Abstract

In this work, we investigate the difficult problem of the optimization of fractal functions. We first derive some relations between the local scaling exponents of the functions, the sampling rate and the accuracy of the localization of the optimum, both in the domain and the range of the functions. We then apply these ideas to the resolution of the inverse problem for iterated function system (IFS) using a genetic algorithm. In the conditions of study (2D problem for sets), the optimization process yields the optimum with a good precision and within a tractable computing time.

Domains

Other [cs.OH]
Fichier principal
Vignette du fichier
RR-1941.pdf (702.68 Ko) Télécharger le fichier

Dates and versions

inria-00074733 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00074733 , version 1

Cite

Jacques Lévy Véhel, Evelyne Lutton. Optimization of fractal : function using genetic algorithms. [Research Report] RR-1941, INRIA. 1993. ⟨inria-00074733⟩
124 View
53 Download

Share

Gmail Facebook Twitter LinkedIn More