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Construction of fractals using formal languages and matrices of attractors

Joëlle Thollot 1 Eric Tosan 
1 iMAGIS - Models, Algorithms and Geometry for Computer Generated Image Graphics
GRAVIR - IMAG - Laboratoire d'informatique GRAphique, VIsion et Robotique de Grenoble, Inria Grenoble - Rhône-Alpes
Abstract : LRIFS's (Language-Restricted Iterated Function Systems) generalize the original denition of IFS's (Iterated Function Systems) by providing tools for restricting the sequences of applicable transformations.In this paper, we study an approach of LRIFS's based on matrices and graph theory. This enables us to generate a matrix which elements are attractors.
Keywords : formal language fractal iterated function system language-restricted iterated function system graph automaton matrix dioïd
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Joëlle Thollot, Eric Tosan. Construction of fractals using formal languages and matrices of attractors. Conference on Computational Graphics and Visualization Techniques (Compugraphics), 1993, Alvor, Portugal. pp.74--81. ⟨inria-00510143⟩

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