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

@inproceedings{citeulike:1438989, 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.}, author = {Da Silva, D. and Boudon, F. and Godin, C. and Puech, O. and Smith, C. and Sinoquet, H.}, booktitle = {Lecture Notes In Computer Science}, citeulike-article-id = {1438989}, doi = {10.1007/11919476_75}, editor = {Brebis, G.}, journal = {Advances in Visual Computing}, keywords = {box-counting, crown, fractal-dimension, reliability}, pages = {751--760}, posted-at = {2007-07-06 10:25:47}, priority = {0}, title = {A Critical Appraisal of the Box Counting Method to Assess the Fractal Dimension of Tree Crowns}, url = {http://dx.doi.org/10.1007/11919476_75}, year = {2006} }

TY - CONF ID - citeulike:1438989 L3 - citeulike-article-id:1438989 N2 - 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. JF - Advances in Visual Computing EP - 760 TI - A Critical Appraisal of the Box Counting Method to Assess the Fractal Dimension of Tree Crowns T2 - Lecture Notes In Computer Science SP - 751 KW - box-counting KW - crown KW - fractal-dimension KW - reliability AU - Da Silva, D AU - Boudon, F AU - Godin, C AU - Puech, O AU - Smith, C AU - Sinoquet, H A2 - Brebis, G PY - 2006/// UR - http://dx.doi.org/10.1007/11919476_75 ER -