Isotropic two-dimensional Fractional Brownian Motion and its application in Ultrasonic analysis

Author

Hoefer, S. ; Hannachi, H. ; Pandit, M. ; Umaresan, RK

Author_Institution

Univ. of Kaiserslautern, Kaiserslautern, Germany

Volume

3

fYear

1992

fDate

Oct. 29 1992-Nov. 1 1992

Firstpage

1267

Lastpage

1269

Abstract

In this paper, we first present a new algorithm to generate an isotropic 2 dimensional discrete Fractional Brownian Motion, using the method of Cholesky decomposition. Secondly, we derive a two dimensional Maximum Likelihood Estimator to extract the fractal parameters from a given stochastic fractal image. Finally, this algorithm is applied to scale independently parameterize the textures displayed in Ultrasonic medical images. The application is to detect immune reactions in transplanted kidneys.

Keywords

Brownian motion; biomedical ultrasonics; feature extraction; fractals; kidney; maximum likelihood estimation; medical image processing; prosthetics; stochastic processes; Cholesky decomposition; isotropic two-dimensional fractional Brownian motion; stochastic fractal image; transplanted kidneys; two-dimensional maximum likelihood estimator; ultrasonic analysis; Biomedical imaging; Kidney;

fLanguage

English

Publisher

ieee

Conference_Titel

Engineering in Medicine and Biology Society, 1992 14th Annual International Conference of the IEEE

Conference_Location

Paris

Print_ISBN

0-7803-0785-2

Electronic_ISBN

0-7803-0816-6

Type

conf

DOI

10.1109/IEMBS.1992.5761777

Filename

5761777