TEXTURE ANALYSIS BY USE OF FRACTIONAL BROWNIAN MOTION.
Date of Original Version
Fractals have been shown to be useful in characterizing texture in a variety of contexts via a method that involves measurement of a parameter, H. The basic theory of fractional Brownian motion is extended here to the discrete case. It is shown that the power spectral density of such a discrete process is only approximately proportional to vertical f vertical raised to the power (1-2H), rather than direct proportional as in the continuous case. An asymptotic Cramer-Rao bound is derived for the variance of an estimate of H. A maximum likelihood estimator is developed and applied to digital coronary angiograms.
Lundahl, T., W. J. Ohley, and S. M. Kay. "TEXTURE ANALYSIS BY USE OF FRACTIONAL BROWNIAN MOTION.." , (1986): 145-148. https://digitalcommons.uri.edu/ele_facpubs/914