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Article Dans Une Revue Fractals Année : 2005

Toward a quantification of self-similarity in plants

Résumé

Self-similarity of plants has attracted the attention of biologists for at least 50 years, yet its formal treatment is rare, and no measure for quantifying the degree of self-similarity currently exists. We propose a formal definition and measures of self-similarity, tailored to branching plant structures. To evaluate self-similarity, we make use of an algorithm for computing topological distances between branching systems, developed in computer science. The formalism is illustrated using theoretical branching systems, and applied to analyze self-similarity in two sample plant structures: inflorescences of Syringa vulgaris (lilac) and shoots of Oryza sativa (rice)
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Dates et versions

hal-00307402 , version 1 (01-12-2008)

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Pascal Ferraro, Christophe Godin, Przemylaw Prusinkiewicz. Toward a quantification of self-similarity in plants. Fractals, 2005, 13, pp.91-109. ⟨10.1142/S0218348X05002805⟩. ⟨hal-00307402⟩
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