Abstract
Our previously reported acoustic inverse scattering imaging algorithms, based on the exact (not linearized) Helmholtz wave equation, are accurate and robust when applied to scattering data from small or low contrast objects. In order to compare the relative efficacy of our inverse scattering methods with linear approximations such as the Born or Rytov approximations, we have reviewed the limitations of those methods with both theoretical and experimental data. We have augmented our original alternating variable algorithms with Newton-Raphson-like methods which give improved convergence with higher contrast objects (up to 20% contrast in the scattering potential) andSLASHor larger grid sizes. We have also developed a new, fast algorithm for computing forward scattering solutions from two non overlapping right circular cylinderical objects using a Bessel function series expansion. When using our inverse scattering algorithms to reconstruct images from this independently generated data, we find excellent agreement. We demonstrate the ability of our methods to reconstruct separate images of compressibility, absorption, and density for simulated data from a simple breast phantom. We also report on our progress in reconstructing images of larger size, as measured in wavelengths, and in using more realistic tissue simulating models as test objects.. (Acoustical Imaging 16, Chicago, Illinois, June, 1987).
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© 1988 Plenum Press, New York
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Berggren, M.J., Johnson, S.A., Kim, W.W., Borup, D.T., Eidens, R.S., Zhou, Y. (1988). Acoustic Inverse Scattering Images from Simulated Higher Contrast Objects and from Laboratory Test Objects. In: Kessler, L.W. (eds) Acoustical Imaging. Acoustical Imaging, vol 16. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0725-9_34
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DOI: https://doi.org/10.1007/978-1-4613-0725-9_34
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