Discrete 2-Dimensional Fractional Brownian Motion As A Model For Medical Images

William J. Ohley; Torbjorn Lundahl

doi:10.1117/12.976509

13 October 1987 Discrete 2-Dimensional Fractional Brownian Motion As A Model For Medical Images

William J. Ohley, Torbjorn Lundahl

Proceedings Volume 0845, Visual Communications and Image Processing II; (1987) https://doi.org/10.1117/12.976509
Event: Cambridge Symposium on Optics in Medicine and Visual Image Processing, 1987, San Diego, CA, United States

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.

Citation Download Citation

William J. Ohley and Torbjorn Lundahl "Discrete 2-Dimensional Fractional Brownian Motion As A Model For Medical Images", Proc. SPIE 0845, Visual Communications and Image Processing II, (13 October 1987); https://doi.org/10.1117/12.976509

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