Non-linear inverse scattering: High resolution quantitative breast tissue tomography
- 1 May 2012
- journal article
- research article
- Published by Acoustical Society of America (ASA) in The Journal of the Acoustical Society of America
- Vol. 131 (5), 3802-3813
- https://doi.org/10.1121/1.3699240
Abstract
Recent published results in inverse scattering generally show the difficulty in dealing with moderate to high contrast inhomogeneities when employing linearized or iteratively linearized algorithms (e.g., distorted Born iterative method). This paper presents a fully nonlinear algorithm utilizing full wave field data, that results in ultrasound computed tomographic images from a laboratory breast scanner, and shows several such unique images from volunteer subjects. The forward problem, data collection process and inverse scattering algorithm used are discussed. A functional that represents the “best fit” between predicted and measured data is minimized, and therefore requires a very fast forward problem solver, Jacobian calculation, and gradient estimation, all of which are described. The data collection device is described. The algorithm and device yield quantitative estimates of human breast tissuein vivo. Several high resolution images, measuring ∼150 by 150 wavelengths, obtained from the 2D inverse scattering algorithms, using data collected from a first prototype, are shown and discussed. The quantitative values are compared with previous published work.This publication has 39 references indexed in Scilit:
- Fast inverse scattering solutions using the distorted Born iterative method and the multilevel fast multipole algorithmThe Journal of the Acoustical Society of America, 2010
- Diffraction and coherence in breast ultrasound tomography: A study with a toroidal arrayMedical Physics, 2009
- On the numerical solution of a three-dimensional inverse medium scattering problemInverse Problems, 2001
- Quantitative imaging using a time-domain eigenfunction methodThe Journal of the Acoustical Society of America, 2000
- Focusing and imaging using eigenfunctions of the scattering operatorThe Journal of the Acoustical Society of America, 1997
- A propagation-backpropagation method for ultrasound tomographyInverse Problems, 1995
- Nonlinear diffractive inverse scattering for multiple scattering in inhomogeneous acoustic background mediaThe Journal of the Acoustical Society of America, 1995
- Diffraction tomography: contribution to the analysis of some applications in microwaves and ultrasonicsInverse Problems, 1988
- Inverse scattering solutions by a sing basis, multiple source, moment method — Part III: Fast algorithmsUltrasonic Imaging, 1984
- Breast Imaging in Coronal Planes with Simultaneous Pulse Echo and Transmission UltrasoundScience, 1981