Computer Simulation of Ultrasonic Images with Self-Similarity of Tissue Structures

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Abstract
A simulation model of reflection source distribution in biological tissues is proposed. The tissue is considered to consist of cells of various sizes. The distribution is computed using the fractal Brownian function. The ultrasound wave is reflected at the center of a cell and the coefficient of reflection is proportional to the area of a cell. The cell distribution is computed for the initial Hurst coefficient range of 0.2 to 0.8. The occupied area of every image is equal, because the cell density is kept constant. The Hurst coefficient of the ultrasonic image which is computed from the cell distribution is dependent on the initial Hurst coefficient for the cell distribution. As a result, it is indicated that the fractal analysis is effective for the characterization of tissue structure.

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