Abstract
In this paper, we incorporate in diffraction and wave nature for the ultrasound propagation in a fractal structure. Ultrasound propagation in a fractal and inhomogeneous medium causes chaotic scattering. This gives rise to chaotic fractal images. We call this chaotic imaging. This has application in medical imaging as human heart and human brain are known to have fractal structure. The mathematical model of Diffusion Limited Aggregation (DLA) is used ti describe the fractal structure. To describe the wave nature, the KZK equation with parabolic approximaton is used. The statistical properties of the fluctuations of wave field is characterized by using correlation functions. These correlation functions are modified for the DLA model. The method of iteration is used in the inverse part of the problem. It is found that nonlinear inversion displays chaotic behaviours. The iteration produces a sequence of velocity estimates. This forms the chaotic velocity images.
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© 1995 Springer-Verlag Berlin Heidelberg
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Gan, W.S. (1995). Acoustical chaotic fractal images for medical imaging. In: Bouchon-Meunier, B., Yager, R.R., Zadeh, L.A. (eds) Advances in Intelligent Computing — IPMU '94. IPMU 1994. Lecture Notes in Computer Science, vol 945. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0035978
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DOI: https://doi.org/10.1007/BFb0035978
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