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Proceedings Paper

Discrete 2-Dimensional Fractional Brownian Motion As A Model For Medical Images
Author(s): William J. Ohley; Torbjorn Lundahl
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Paper Abstract

In previous work, the concept of estimation theory has been applied to provide a basis for determining the fractal dimension of a given data set when fractional Brownian motion (FBM) is assumed to be a suitable model. However, the generated FBM functions used to test the approach were only one dimensional, even though the estimation was applied to images. In the current work, the generation process is extended to two dimensions so that FBM images are generated directly. A series of 32 x 32 FBM images were formed for fractal dimensions of 2.2 to 2.8. The texture in these images is seen to be representative of textures observed in xray images of bone. Furthermore by combining the FBM realization with a deterministic function such as a sinusoid, it is found that complex appearing images can be broken down into two basic components: fractal, and determinisitic. Thus this methodology may prove useful in the analysis and presentation of medical images.

Paper Details

Date Published: 13 October 1987
PDF: 6 pages
Proc. SPIE 0845, Visual Communications and Image Processing II, (13 October 1987); doi: 10.1117/12.976509
Show Author Affiliations
William J. Ohley, University of Rhode Island (United States)
Torbjorn Lundahl, University of Rhode Island (United States)


Published in SPIE Proceedings Vol. 0845:
Visual Communications and Image Processing II
T. Russell Hsing, Editor(s)

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