Texture Analysis Of Diagnostic Tray Images By Use Of Fractals
Torbjorn Lundahl, William J. Ohley, Steven Kay, H. White, Devan Williams, A S Most · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1986
In this work a discrete fractional Brownian motion (FBM) model is applied to xray images as a measure of the regional texture. FBM is a generalization of ordinary Wiener-Levy Brownian motion. A Parameter H is introduced which describes the roughness of the realizations. Using generated realizations, a Cramer-Rao bound for the variance of an estimate of Hwas evaluated using asymptotic statistics. The results show that the accuracy of the estimate is independent of the true H. A maximum likelihood estimator is derived for H and applied to the data sets The results were close to the C-R bound. The MLE is then applied to sequences of digital coronary angiograms. The results show that the H parameter is a useful index by which to segment vessels from background noise.