Density Imaging Using a Multiple-Frequency DBIM Approach

doi:10.1109/TUFFC.2010.1713

Density Imaging Using a Multiple-Frequency DBIM Approach

2010-11-01

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DOI：10.1109/TUFFC.2010.1713

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Current inverse scattering methods for quantitative density imaging have limitations that keep them from practical experimental implementations. In this work, an improved approach, termed the multiple-frequency distorted Born iterative method (MF-DBIM) algorithm, was developed for imaging density variations. The MF-DBIM approach consists of inverting the wave equation by solving for a single function that depends on both sound speed and density variations at multiple frequencies. Density information was isolated by using a linear combination of the reconstructed single-frequency profiles. Reconstructions of targets using MF-DBIM from simulated data were compared with reconstructions using methods currently available in the literature, i.e., the dual-frequency DBIM (DF-DBIM) and T-matrix approaches. Useful density reconstructions, i.e., root mean square errors (RMSEs) less than 30%, were obtained with MF-DBIM even with 2% Gaussian noise in the simulated data and using frequency ranges spanning less than an order of magnitude. Therefore, the MF-DBIM approach outperformed both the DF-DBIM method (which has problems converging with noise even an order of magnitude smaller) and the T-matrix method (which requires a ka factor close to unity to achieve convergence). However, the convergence of all the density imaging algorithms was compromised when imaging targets with object functions exhibiting high spatial frequency content.

Keywords:

EMPIRICAL ULTRASONIC PROPERTIES

ACOUSTIC SCATTERING

TISSUE CHARACTERIZATION

HIGH-RESOLUTION

MOMENT METHOD

SINC BASIS

COMPRESSIBILITY

RECONSTRUCTION

ELASTICITY

INVERSION

Density Imaging Using a Multiple-Frequency DBIM Approach

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