Fractals everywhere
Lindenmayer systems, fractals and plants
Lindenmayer systems, fractals and plants
A warning about standard errors when estimating the fractal dimension
Computers & Geosciences
Advances in the implementation of the box-counting method of fractal dimension estimation
Applied Mathematics and Computation
Surfels: surface elements as rendering primitives
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
The use of positional information in the modeling of plants
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Supercover of Straight Lines, Planes and Triangles
DGCI '97 Proceedings of the 7th International Workshop on Discrete Geometry for Computer Imagery
Plants, fractals, and formal languages
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
A three dimensional box counting method for measuring fractal dimensions of 3D models
IMSA '07 Proceedings of the Eleventh IASTED International Conference on Internet and Multimedia Systems and Applications
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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.