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

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Advances in Visual Computing (ISVC 2006)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 4291))

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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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Author information

Authors and Affiliations

  1. Université de Montpellier II,  

    D. Da Silva

  2. CIRAD,  

    F. Boudon & C. Godin

  3. INRIA,  

    C. Godin

  4. INRA,  

    O. Puech & C. Smith

  5. Virtual Plants Team, UMR AMAP TA/40E, 34398 Cedex 5, Montpellier, France

    D. Da Silva, F. Boudon, C. Godin, O. Puech & C. Smith

  6. INRA-UBP, UMR PIAF, Domaine de Crouelle, 234 avenue du Brézet, 63100, Clermont-Ferrand, France

    H. Sinoquet

Authors
  1. D. Da Silva
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  2. F. Boudon
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  3. C. Godin
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  4. O. Puech
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  5. C. Smith
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  6. H. Sinoquet
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Editor information

Editors and Affiliations

  1. Department of Computer Science and Engineering, University of Nevada, Reno, USA

    George Bebis

  2. NASA Ames Research Center, Moffett Field, CA, USA

    Richard Boyle

  3. Lawrence Berkeley National Laboratory, Berkeley, CA, USA

    Bahram Parvin

  4. Desert Research Institute, Reno, NV, USA

    Darko Koracin

  5. Digital Image Research Center, Kingston University, London, UK

    Paolo Remagnino

  6. Intel, 95052, Santa Clara, CA, USA

    Ara Nefian

  7. University of California, 430, Computer Science Building, 92697-3425, Irvine, CA, USA

    Gopi Meenakshisundaram

  8. Institute for Data Analysis and Visualization, P.O. Box

    Valerio Pascucci

  9. Department of Computer Science and Engineering, Czech Technical University in Prague, Czech

    Jiri Zara

  10. Rockwell Scientific, 1049 Camino Dos Rios, 91360, Thousand Oaks, CA, USA

    Jose Molineros

  11. Computer Graphics Group, Bielefeld University, D-33501, Bielefeld, Germany

    Holger Theisel

  12. Hewlett Packard Labs, Palo Alto, CA, USA

    Tom Malzbender

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© 2006 Springer-Verlag Berlin Heidelberg

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Da Silva, D., Boudon, F., Godin, C., Puech, O., Smith, C., Sinoquet, H. (2006). A Critical Appraisal of the Box Counting Method to Assess the Fractal Dimension of Tree Crowns. In: Bebis, G., et al. Advances in Visual Computing. ISVC 2006. Lecture Notes in Computer Science, vol 4291. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11919476_75

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

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-48628-2

  • Online ISBN: 978-3-540-48631-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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