Optimization of fractal : function using genetic algorithms

Jacques Lévy Véhel 1 Evelyne Lutton 1
1 EPIDAURE - Medical imaging and robotics
CRISAM - Inria Sophia Antipolis - Méditerranée
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.
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Rapport
[Research Report] RR-1941, INRIA. 1993
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https://hal.inria.fr/inria-00074733
Contributeur : Rapport de Recherche Inria <>
Soumis le : mercredi 24 mai 2006 - 16:11:53
Dernière modification le : samedi 27 janvier 2018 - 01:31:27
Document(s) archivé(s) le : mardi 12 avril 2011 - 18:42:10

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Jacques Lévy Véhel, Evelyne Lutton. Optimization of fractal : function using genetic algorithms. [Research Report] RR-1941, INRIA. 1993. 〈inria-00074733〉

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