A Method for Estimating Fractal Dimension of Tree Crowns from Digital Images

A new method for estimating fractal dimension of tree crowns from digital images is presented. Three species of trees, Japanese yew (Taxus cuspidata Sieb & Zucc), Hicks yew (Taxus × media), and eastern white pine (Pinus strobus L.), were studied. Fractal dimensions of Japanese yew and Hicks yew range from 2.26 to 2.70. Fractal dimension of eastern white pine range from 2.14 to 2.43. The difference in fractal dimension between Japanese yew and eastern white pine was statistically significant at 0.05 significance level as was the difference in fractal dimension between Hicks yew and eastern white pine. On average, the greater fractal dimensions of Japanese yew and Hicks yew were possibly related to uniform foliage distribution within their tree crowns. Therefore, fractal dimension may be useful for tree crown structure classification and for indexing tree images.

[1]  Alex Pentland,et al.  Perceptual Organization and the Representation of Natural Form , 1986, Artif. Intell..

[2]  Susan S. Chen,et al.  Shape from Fractal Geometry , 1990, Artif. Intell..

[3]  B. Mandelbrot,et al.  Fractal character of fracture surfaces of metals , 1984, Nature.

[4]  A. Méhauté,et al.  Fractal Geometries Theory and Applications , 1991 .

[5]  R. A. Leary,et al.  Fractal forest: Fractal geometry and applications in forest science. Forest Service general technical report , 1994 .

[6]  Robert G. Haight,et al.  The fractal forest: fractal geometry and applications in forest science. , 1994 .

[7]  James M. Keller,et al.  Characteristics of Natural Scenes Related to the Fractal Dimension , 1987, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[8]  Bidyut Baran Chaudhuri,et al.  Texture Segmentation Using Fractal Dimension , 1995, IEEE Trans. Pattern Anal. Mach. Intell..

[9]  B. Mandelbrot.  Fractal Geometry of Nature , 1984 .

[10]  Ashok Samal,et al.  Object recognition using L-system fractals , 1995, Pattern Recognit. Lett..

[11]  James M. Keller,et al.  Texture description and segmentation through fractal geometry , 1989, Comput. Vis. Graph. Image Process..

[12]  J. Lawton,et al.  Fractal dimension of vegetation and the distribution of arthropod body lengths , 1985, Nature.

[13]  Ashok Samal,et al.  Recognizing plants using stochastic L-systems , 1994, Proceedings of 1st International Conference on Image Processing.

[14]  Ashok Samal,et al.  Recognition of plants using a stochastic L-system model , 2002, J. Electronic Imaging.

[15]  Ashok Samal,et al.  Texture as the basis for individual tree identification , 2006, Inf. Sci..

[16]  Przemyslaw Prusinkiewicz,et al.  The Algorithmic Beauty of Plants , 1990, The Virtual Laboratory.

[17]  Alex Pentland,et al.  Fractal-Based Description of Natural Scenes , 1984, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[18]  Peter Pfeifer,et al.  A Method for Estimation of Fractal Dimension of Tree Crowns , 1991, Forest Science.

[19]  Joseph Naor,et al.  Multiple Resolution Texture Analysis and Classification , 1984, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[20]  R. Voss.  Random Fractals: characterization and measurement , 1991 .