Fractional box-counting approach to fractal dimension estimation

Proceedings - International Conference on Pattern Recognition

Volumn 2, Issue , 1996, Pages 854-858

  Feng, Jie ^a   Lin, Wei Chung ^a   Chen, Chin Tu ^b  

^a Northwestern University   (United States)

^b UNIVERSITY OF CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FRACTAL DIMENSION; PATTERN RECOGNITION;

BOX-COUNTING; ESTIMATION APPROACHES; FRACTAL DIMENSION ESTIMATION; FRACTAL PROPERTIES; NEW APPROACHES; SHAPE ANALYSIS;

ESTIMATION;

EID: 0000912906     PISSN: 10514651     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICPR.1996.547197     Document Type: Conference Paper

References (17)

1. B. Mandelbrot, "How long is the coast of Britain? Statistical self-similarity and fractal dimension," in Science 156, pp. 636-638, 1967.
2. B. Mandelbrot, The Fractal Geometry of Nature, Freeman, San Francisco, Calif., 1982.
3. R. F. Voss, "Random fractal forgeries," in Fundamental algorithms for computer graphics, vol. F17 of NATO ASI Series, R. A. Earnshaw, ed., Springer-Verlag, Berlin, 1985, pp. 805-835.
4. R. F. Voss, "1/f (flicker) noise:a brief review," Proc. 32rd Annual Symposium on Frequency Control, Atlantic City, 1979, pp. 40 - 46.
5. R. F. Voss and J. Clarke, "1/f Noise in Music: Music from 1/f Noise", J. Accous. Soc. Am. 63, 1978, pp. 258 - 263.
6. R. F. Voss and J. Clarke, "I/f Noise in Music and Speech", Nature 258, 1975, pp. 317 -318.
7. A. Pentland, "Fractal-based description of natural scenes," IEEE Trans, on Pattern Analysis and Machine Intelligence, vol. PAMI-6, No. 6, pp. 661 - 674, 1984.
8. P. Kube and A. Pentland, "On the imaging of fractal surfaces," IEEE Trans, on Pattern Analysis and Machine Intelligence, vol. PAMI-10, No. 5, pp. 704 - 707, 1988.
9. C. C. Chen, J. S. Daponte and M. D. Fox, "Fractal feature analysis and classification in medical imaging," IEEE Trans, on Medical Imaging, vol. 8, No. 2, pp. 133 - 142, June, 1989.
10. S. Peleg, J. Naor, R. Hartley and D. Avnir, "Multiple resolution texture analysis and classification," IEEE Trans, on Pattern Analysis and Machine Intelligence, vol. PAMI-6, No. 6, pp. 518-523, 1984.
11. J. M. Keller, R. M. Crownover and R. Y. Chen, "Characteristics of natural scenes related to the fractal dimension," IEEE Trans, on Pattern Analysis and Machine Intelligence, vol. PAMI-9, No. 5, pp. 621 - 627, 1987.
12. J. M. Keller, S. Chen, and R. M. Crownover, "Texture description and segmentation through fractal geometry," C.V.G.I.P. vol.45, pp. 150- 166, 1989.
13. S.S. Chen and J.M.Keller, "On the calculation of fractal features from images," IEEE Trans, on Pattern Analyst and Machine Intelligence, vol. PAMI-15, No. 10, pp. 1087-1090, 1993.
14. T. Lundahl, W.J. Ohley, S. M. Kay and R. Siffert, " Fractional Brownian motion: a maximum likelihood estimator and its application to image texture," IEEE Trans, on Medical Imaging, vol MI-5, No. 3, pp. 152 - 161, September 1986.
15. L. S. Liebovitch and T. Toth, " A fast algorithm to determine fractal dimensions by box counting," Physics Lette A, vol. 141, No. 8-9, pp. 386 - 390, 1989.
16. N. Sarkar and B. B. Chaudhuri, "An efficient differential box-counting approach to compute fractal dimension of image", IEEE Trans, on Systems, Man, and Cybernetics, vol. SMC-24, No. 1, January 1994.
17. T. J. Dennis and N. G. Dessipris, " Fractal modelling in image texture analysis," IEE Proc, vol 136, Pt.F, No. 5, pp. 227 - 235, October 1989.