A Variation of the Box-Counting Algorithm Applied to Colour Images

@article{Nikolaidis2011AVO,
  title={A Variation of the Box-Counting Algorithm Applied to Colour Images},
  author={N. S. Nikolaidis and I. N. Nikolaidis and C. C. Tsouros},
  journal={CoRR},
  year={2011},
  volume={abs/1107.2336}
}
The box counting method for fractal dimension estimation had not been applied to large or colour images thus far due to the processing time required. In this letter we present a fast, easy to implement and very easily expandable to any number of dimensions variation, the box merging method. It is applied here in RGB images which are considered as sets in 5-D space. 

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Showing 1-10 of 16 references

Fractal dimension of colour fractal images

M. Ivanovici, N. Richard
Image Processing, IEEE Transactions on PP (99) • 2010
View 2 Excerpts

A method for estimating the fractal dimension of digital color images

J. Lindström
Master’s thesis, Umea University, Department of Computing Science, Sweden • 2008
View 1 Excerpt

Evaluation of the fractal dimension of an image using the wavelet transform: comparison with a standard method

F. Peyrin, L. Ratton, N. Zegadi, S. Mouhamed, Y. Ding
in: Time-Frequency and Time-Scale Analysis, 1994., Proceedings of the IEEE-SP International Symposium on • 1994
View 1 Excerpt

Fast O(N) box-counting algorithm for estimating dimensions.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics • 1993
View 1 Excerpt

Characterizing the lacunarity of random and deterministic fractal sets.

Physical review. A, Atomic, molecular, and optical physics • 1991
View 1 Excerpt

Texture description and segmentation through fractal geometry

Computer Vision, Graphics, and Image Processing • 1989
View 1 Excerpt

Characterization and measurement of random fractals

R. F. Voss
Physica Scripta T13 • 1986
View 1 Excerpt

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