Abstract
Over the last few years, the development of the science of chaos have led to new insights and understanding of nonlinear dynamics. In this paper we study ultrasonic wave propagation in human tissue which is an inhomogeneous medium and causes nonlinearity and strong multiple scattering. Environments that produce strong multiple scattering by irregularities with a large length scale are most likely to cause chaotic propagation. This gives rise to fractal images. Two approaches will be used to obtain fractal images: the rigorous approach and the phenomenological or empirical approach.
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References
W S Gan. “Application of Chaos to Sound Propagation in Random Media”, paper presented at the 19th International Symposium on Acoustical Imaging ,Bochum, Germany, April 1991.
A Pentland, “Fractal-based Description of Natural Scenes”, IEEE Trans. Pattern Anal Machine Intell Vol. PAMI-6, 666(1984).
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© 1993 Springer Science+Business Media New York
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Gan, W.S., Gan, C.K. (1993). Acoustical Fractal Images Applied to Medical Imaging. In: Wei, Y., Gu, B. (eds) Acoustical Imaging. Acoustical Imaging, vol 20. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2958-3_56
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DOI: https://doi.org/10.1007/978-1-4615-2958-3_56
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-6286-9
Online ISBN: 978-1-4615-2958-3
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