A Critical Appraisal of the Box Counting Method to Assess the Fractal Dimension of Tree Crowns

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Conference object , Article 01 Jan 2006 France Publisher:Springer Berlin Heidelberg

Authors: da Silva, David; Boudon, Frédéric; Godin, Christophe; Puech, Olivier; Smith, Colin; Sinoquet, Hervé;

doi: 10.1007/11919476_75

A Critical Appraisal of the Box Counting Method to Assess the Fractal Dimension of Tree Crowns

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Abstract

In this paper, we study the application of the box counting method (BCM) to estimate the fractal dimension of 3D plant foliage. We use artificial crowns with known theoretical fractal dimension to characterize the accuracy of the BCM and we extend the approach to 3D digitized plants. In particular, errors are experimentally characterized for the estimated values of the fractal dimension. Results show that, with careful protocols, the estimated values are quite accurate. Several limits of the BCM are also analyzed in this context. This analysis is used to introduce a new estimator, derived from the BCM estimator, whose behavior is characterized.

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Keywords

port de la plante, ramification, http://aims.fao.org/aos/agrovoc/c_5969, Arbre, F50 - Anatomie et morphologie des plantes, modèle mathématique, dimension, http://aims.fao.org/aos/agrovoc/c_7887, [SDV.BV] Life Sciences [q-bio]/Vegetal Biology, Couronne, http://aims.fao.org/aos/agrovoc/c_24199, arbre, mesure (activité), U10 - Informatique, mathématiques et statistiques, http://aims.fao.org/aos/agrovoc/c_16172, Houppier, http://aims.fao.org/aos/agrovoc/c_2283, http://aims.fao.org/aos/agrovoc/c_4668, Modelisation, [INFO.INFO-MO] Computer Science [cs]/Modeling and Simulation, Dimension fractale, http://aims.fao.org/aos/agrovoc/c_1057

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