%0 Journal Article %A Timothee G. Leleu %D 2010 %J International Journal of Industrial and Manufacturing Engineering %B World Academy of Science, Engineering and Technology %I Open Science Index 40, 2010 %T Recursive Similarity Hashing of Fractal Geometry %U https://publications.waset.org/pdf/14186 %V 40 %X A new technique of topological multi-scale analysis is introduced. By performing a clustering recursively to build a hierarchy, and analyzing the co-scale and intra-scale similarities, an Iterated Function System can be extracted from any data set. The study of fractals shows that this method is efficient to extract self-similarities, and can find elegant solutions the inverse problem of building fractals. The theoretical aspects and practical implementations are discussed, together with examples of analyses of simple fractals. %P 384 - 391