Fractional Brownian Motion: A Maximum Likelihood Estimator and Its Application to Image Texture

IEEE Transactions on Medical Imaging

Volumn 5, Issue 3, 1986, Pages 152-161

  Lundahl, Torbjorn ^a   Ohley, William J ^a   Kay, Steven M ^b   Siffert, Robert ^b  

^a UNIVERSITY OF RHODE ISLAND   (United States)

^b MOUNT SINAI SCHOOL OF MEDICINE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77949515579     PISSN: 02780062     EISSN: 1558254X     Source Type: Journal    
DOI: 10.1109/TMI.1986.4307764     Document Type: Article

References (15)

1. A. Fournier, D. Fussell, and L. Carpenter, “Computer rendering of stochastic models,” Commun. ACM, vol. 25, no. 6, pp. 371–384, 1982.
2. B. Hughes, E. Montroll, and M. Schlesinger, “Fractal random walks,” J. Statist. Phys., vol. 28, no. 1, pp. 111–126, 1982.
3. S. Liu, “Fractal model for the AC response of a rough interface,” Amer. Phys. Soc., vol. 55, no. 5, pp. 529–532, 1985.
4. B. B. Mandelbrot, The Fractal Geometry of Nature. New York: Freeman, 1982.
5. Fractals: Form, Chance and Dimension. New York: Freeman, 1977.
6. “A fast fractional Gaussian noise generator,” Water Resources Res., vol. 7, no. 3, pp. 543–553, 1971.
7. B. B. Mandelbrot and B. J. Van Ness, “Fractional Brownian motion, fractional noises and applications,” SIAM, vol. 10, no. 4, pp. 422–438, 1968.
8. B. B. Mandelbrot, “Stochastic models for the Earth's relief, the shape and the fractal dimension of the coastlines and the number-area rule for islands,” Proc. Nat. Acad. Sci., vol. 72, no. 10, pp. 3825–3828, Oct. 1975.
9. A. P. Pentland, “Fractal-based description of natural scenes,” IEEE Trans. Pattern Anal. Machine Intell., no. 6, pp. 661–674, Nov. 1984.
10. S. Peleg, J. Naor, R. Hartley, and D. Avnir, “Multiple resolution texture analysis and classification,” IEEE Trans. Pattern Anal. Machine Intell., no. 4, pp. 518–523, July 1984.
11. T. Lundahl, W. J. Ohley, W. S. Kuklinski, D. O. Williams, H. Gewirtz, and A. S. Most, “Analysis and interpolation of angiographic images by use of fractals,” IEEE Comput. Cardiol., 1985.
12. P. Pfeeifer, D. Avinir, and A. Farin, “Ideally irregular surfaces of dimension greater than two in theory and practice, Surface Sci., vol. 126, pp. 569–572, 1983.
13. P. Whittle, “On stationary process in the plane,” Biometrica, vol. 41, pp. 434–449, 1954.
14. S. Kay, Modern Spectral Estimation. Englewood Cliffs, NJ: Prentice-Hall, 1986, Ch. 6, to be published.
15. R. P. Breet, Algorithms for Minimization Without Derivatives. Englewood Cliffs, NJ: Prentice-Hall, 1973.