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Use of fractal dimensions to quantify coral shape

Abstract : A morphometrical method to quantify and characterize coral corallites using Richardson Plots and Kaye's notion of fractal dimensions is presented. A Jurassic coral species (Aplosmilia spinosa) and Wve Recent coral species were compared using the Box-Counting Method. This method enables the characterization of their morphologies at calicular and septal levels by their fractal dimensions (structural and textural). Moreover, it is possible to determine diVerences between species of Montastraea and to tackle the high phenotypic plasticity of Montastraea annu-laris. The use of fractal dimensions versus conventional methods (e.g., measurements of linear dimensions with a calliper, landmarks, Fourier analyses) to explore a rugged boundary object is discussed. It appears that fractal methods have the potential to considerably simplify the morpho-metrical and statistical approaches, and be a valuable addition to methods based on Euclidian geometry.
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Bertrand Martin-Garin, Bernard Lathuilière, Eric P. Verrecchia, Jörn Geister. Use of fractal dimensions to quantify coral shape. Coral Reefs, Springer Verlag, 2007, 26, pp.541 - 550. ⟨10.1007/s00338-007-0256-4⟩. ⟨hal-01435931⟩



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