Ultrasonic imaging by local shape function method with CGFFT

A numerical algorithm for the reconstruction of the density and the compressibility of a biological body from ultrasonic scattering data is presented. The reconstruction algorithm is based on the local shape function method (LSF) combined with the conjugate gradient method with fast Fourier transform (CGFFT). The nonlinearity due to the multiple scattering has been accounted for in an iterative minimization scheme. Numerical examples of simulation data and real experimental data are given showing the capability of this algorithm.