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Book Chapter
An Hybrid Evolutive-Genetic Strategy for the Inverse Fractal Problem of IFS Models
Book Series
Lecture Notes in Computer Science
Publisher
Springer Berlin / Heidelberg
ISSN
0302-9743 (Print) 1611-3349 (Online)
Volume
Volume 1952/2000
Book
Advances in Artificial Intelligence
DOI
10.1007/3-540-44399-1
Copyright
2000
ISBN
978-3-540-41276-2
DOI
10.1007/3-540-44399-1_48
Pages
467-476
Subject Collection
Computer Science
SpringerLink Date
Saturday, January 01, 2000
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An Hybrid Evolutive-Genetic Strategy for the Inverse Fractal Problem of IFS Models
José M. Gutiérrez
3
, A.S. Cofiño
3
and María L. Ivanissevich
4
(3)
Dept. of Applied Mathematics and Computer Science, Universidad de Cantabria, 39005 Santander, Spain
(4)
Universidad Nacional de la Patagonia Austral, Río Gallegos, Argentina
Abstract
Iterated Function Systems are popular techniques for gene- rating selfsimilar fractals. An important practical problem in this field is that of obtaining the IFS code which approximates a given image with a certain prescribed accuracy (inverse IFS problem). In this paper we present an hybrid evolutive-genetic algorithm to solve the inverse IFS problem in two steps: First, an Evolutive Strategy (ES) is applied to identify a set of affine transformations associated with selfsimilar structures within the image. Then, the best adapted transformations are combined forming an initial population of IFS models and a Genetic Algorithm (GA) is used to find the optimal IFS model. We show that this hybrid algorithm performs significantly better than one-step global evolutive or genetic algorithms which have been recently reported in the literature.
José
M.
Gutiérrez
Email:
gutierjm@unican.es
María
L.
Ivanissevich
URL:
http://personales.unican.es/~gutierjm
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