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Acoustical Imaging pp 53–59Cite as

Inverse Scattering Theory

  • Conference paper
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Part of the book series: Acoustical Imaging ((ACIM,volume 30))

Abstract

This paper discuss a fully 3D nonlinear algorithm that results in a 3D quantitative estimate of breast tissue characteristics and a refraction corrected reflection algorithm (RFCR) that utilizes these estimates. The data are obtained from a specially designed clinical ultrasound breast scanner and processed on the device. We discuss the data collection process, a fast solution to the forward problem and a concomitant fast inverse scattering solution for the imaging problem. We show how the resulting 3D tissue map is used in a refraction corrected reflection algorithm.

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References

  1. André, M.P., Barker, C.H., Sekhon, N., Wiskin, J., Borup, D., Callahan, K.: Pre-clinical experience with full wave inverse scattering for breast imaging. In: Akiyama, I. (ed.) Acoustical Imaging, vol. 29. Springer, Dordrecht (2008)

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  2. Wiskin, J., Borup, D.T., Johnson, S.A., Berggren, M., et al.: Full wave non-linear inverse scattering. In: André, M. (ed.) Acoustical Imaging, vol. 28, p. 183. Springer, Dordrecht (2007)

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  3. Bailin, D., Love, A.: Introduction to Gauge Field Theory, Ch. 2, eqn. 2.18. Institute of Physics Publishing, Bristol (1993)

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  4. Johnson, et al.: Acoustic imaging using inverse scattering techniques, US Patent #6,636,584

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  5. Born, M., Wolf, E.: Principles of Optics, 7th edn. Cambridge University Press, Cambridge (1999)

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Author information

Authors and Affiliations

  1. Techniscan Medical Systems, Inc., Salt Lake City, UT, 84106, USA

    J. Wiskin, D. Borup & S. Johnson

  2. Department of Bioengineering, University of Utah, Salt Lake City, UT, 84106, USA

    J. Wiskin

Authors
  1. J. Wiskin
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  2. D. Borup
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  3. S. Johnson
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Corresponding author

Correspondence to J. Wiskin .

Editor information

Editors and Affiliations

  1. , San Diego VA Healthcare System, University of California, La Jolla Village Dr. 3350, San Diego, 92161, California, USA

    Michael P. André

  2. Medical Center, Dept. Radiological Sciences, University of California, Irvine, City Drive S. 101, Orange, 92868, California, USA

    Joie P. Jones

  3. College of Engineering, Dept. Electrical & Computer Engineering, University of California, Santa Barbara, Santa Barbara, 93106-9560, California, USA

    Hua Lee

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© 2011 Springer Science+Business Media B.V.

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Wiskin, J., Borup, D., Johnson, S. (2011). Inverse Scattering Theory. In: André, M., Jones, J., Lee, H. (eds) Acoustical Imaging. Acoustical Imaging, vol 30. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3255-3_7

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