Manipulation of non-linear IFS attractors using genetic programming

Author

Raynal, Frédéric ; Lutton, Evelyne ; Collet, Pierre ; Schoenauer, Marc

Author_Institution

Inst. Nat. de Recherche en Inf. et Autom., Le Chesnay, France

Volume

2

fYear

1999

fDate

1999

Abstract

Non-linear Iterated Function Systems (IFSs) are very powerful mathematical objects related to fractal theory, that can be used in order to generate (or model) very irregular shapes. We investigate how genetic programming techniques can be efficiently exploited in order to generate randomly or interactively artistic “fractal” 2D shapes. Two applications are presented for different types of nonlinear IFSs: interactive generation of mixed IFS attractors using a classical GP scheme; and random generation of Polar IFS attractors based on an “individual” approach of GP

Keywords

computational geometry; fractals; genetic algorithms; interactive systems; Non-linear Iterated Function Systems; Polar IFS attractors; classical GP scheme; fractal theory; genetic programming; interactive generation; interactively artistic fractal 2D shapes; irregular shapes; mathematical objects; mixed IFS attractors; non-linear IFS attractors; nonlinear IFSs; random generation; Extraterrestrial measurements; Fractals; Genetic programming; Image coding; Image generation; Java; Mathematical model; Power generation; Power system modeling; Shape;

fLanguage

English

Publisher

ieee

Conference_Titel

Evolutionary Computation, 1999. CEC 99. Proceedings of the 1999 Congress on

Conference_Location

Washington, DC

Print_ISBN

0-7803-5536-9

Type

conf

DOI

10.1109/CEC.1999.782556

Filename

782556