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

@article{Lundahl1986FractionalBM,
  title={Fractional Brownian Motion: A Maximum Likelihood Estimator and Its Application to Image Texture},
  author={Torbjorn Lundahl and William J. Ohley and Steven M. Kay and Robert S. Siffert},
  journal={IEEE Transactions on Medical Imaging},
  year={1986},
  volume={5},
  pages={152-161}
}
Fractals have been shown to be useful in characterizing texture in a variety of contexts. Use of this methodology normally involves measurement of a parameter H, which is directly related to fractal dimension. In this work the basic theory of fractional Brownian motion is extended to the discrete case. It is shown that the power spectral density of such a discrete process is only approximately proportional to |f|a instead of in direct proportion as in the continuous case. An asymptotic Cramer… CONTINUE READING
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References

Publications referenced by this paper.
Showing 1-10 of 12 references

Analysis and interpolation of angiographic images by use of fractals

  • T. Lundahl, W. J. Ohley, W. S. Kuklinski, D. O. Williams, H. Gewirtz, A. S. Most
  • IEEE Comput. Cardiol., 1985.
  • 1985
1 Excerpt

Ideally irregular surfaces of dimension greater than two in theory and practice

  • P. Pfeeifer, D. Avinir, A. Farin
  • 1983

Fractal random walks

  • B. Hughes, E. Montroll, M. Schlesinger
  • J. Statist. Phys., vol. 28, no. 1, pp. 111-126…
  • 1982

Algorithms for Minimization Without Derivatives

  • R. P. Brent
  • Englewood Cliffs, NJ: Prentice-Hall,
  • 1973
1 Excerpt

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