Beam-forming for nonlinear ultrasound inversion
-
R. Kowar
and
O. Scherzer
Abstract
- Common models in ultrasound inversion are based on the assumption that the inspected tissue consists of point scatterers and the spatial responses of the single point scatterers do not interfere. These models offer an efficient way to recover reflection coefficients of point scatterers. However such models neglect nonlinear effects due to interference of spatial responses of point scatterers. It is difficult to estimate physical parameters such as the medium density from given reflection coefficients. In this paper we analyse the estimation of physical parameters with ultrasound devices using beam-forming. The objectives of this paper are two fold: in the first part we simulate the beam-forming process in a medium of piecewise continuous density. The model considered takes into account nonlinear effects. Secondly we recover variations of the density from back-propagated waves.
© 2013 by Walter de Gruyter GmbH & Co.
Articles in the same Issue
- Contents
- On inverse problem for a system of equations of elasticity theory
- Approximation of function with finite number of discontinuities by noised data
- The reconstruction of a vector field by finite difference methods
- New approaches to error estimation to ill-posed problems with applications to inverse problems of heat conductivity
- The linear sampling method in inverse obstacle scattering for impedance boundary conditions
- Recovering a vector field with the aid of controlled noise
- Beam-forming for nonlinear ultrasound inversion
Articles in the same Issue
- Contents
- On inverse problem for a system of equations of elasticity theory
- Approximation of function with finite number of discontinuities by noised data
- The reconstruction of a vector field by finite difference methods
- New approaches to error estimation to ill-posed problems with applications to inverse problems of heat conductivity
- The linear sampling method in inverse obstacle scattering for impedance boundary conditions
- Recovering a vector field with the aid of controlled noise
- Beam-forming for nonlinear ultrasound inversion
