"TEXTURE ANALYSIS BY USE OF FRACTIONAL BROWNIAN MOTION." by T. Lundahl, W. J. Ohley et al.
 

TEXTURE ANALYSIS BY USE OF FRACTIONAL BROWNIAN MOTION.

Document Type

Conference Proceeding

Date of Original Version

1-1-1986

Abstract

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.

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