A critical appraisal of the box counting method to assess the fractal dimension of tree crowns

Da Silva D., Boudon Frédéric, Godin Christophe, Puech Olivier, Smith Colin, Sinoquet Hervé. 2006. A critical appraisal of the box counting method to assess the fractal dimension of tree crowns. In : Advances in visual computing. Second International Symposium, ISVC 2006 Lake Tahoe, NV, USA, November 6-8, 2006 Proceedings, Part I. G. Bebis and al (eds.). Heidelberg : Springer, 751-760. (Lecture notes in computer science, 4291) International Symposium on visual computing. 2, Lake Tahoe, États-Unis, 6 Novembre 2006/8 Novembre 2006.

https://doi.org/10.1007/11919476_75

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Résumé : 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.

Mots-clés Agrovoc : modèle mathématique, port de la plante, ramification, dimension, mesure (activité), arbre, Houppier

Mots-clés complémentaires : Architecture des arbres

Classification Agris : U10 - Informatique, mathématiques et statistiques
F50 - Anatomie et morphologie des plantes

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