Title

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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