Complexity International       /vol02/blanc/ © Copyright 1995     
Volume 02 Received: 
Accepted: 
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How to Fill the Gap between Fractals and Stochastic Context-Free Grammars?

Jacques Blanc-Talon

Abstract
     Encoding fractal sets as quad-trees is considered. Every node of the tree is compared to a dictionary which is recursively built. Comparison is performed by looking for self-similarity within images. Geometrical operations (rotation and rescaling) are used to match statistical moments of the images to compare. Numerical results are used to determine the probabilities of assigning to the rules of a context-free grammar inferred from the set of trees.


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