Image reconstruction of moderate contrast targets using the distorted born iterative method

Roberto Lavarello, Michael Oelze

Research output: Chapter in Book/Report/Conference proceedingConference contribution


Ultrasonic tomography using inverse scattering, i.e., the distorted Born iterative method (DBIM), allows for the quantitative image reconstruction of mechanical properties of materials. The use of multi-frequency information has been proposed to avoid convergence issues for targets with moderate speed of sound contrasts Δc (i.e., targets for which the excess phase Δφ when propagating through the object is larger than π) but not validated experimentally. Furthermore, DBIM has to be regularized due to its ill-conditioning. To experimentally validate DBIM for use in ultrasonic tomography, a systematic procedure to choose the regularization parameter based on the Rayleigh quotient iteration was developed and images of objects with moderate Ac were reconstructed. The performance of DBIM using the developed regularization scheme was studied through: 1) Simulations of a two dimensional (2D) phantom (Δφ = 2.14π) with inclusions smaller than a wavelength, 2) Experiments with a balloon phantom with high Ac with scattered data collected at 0.64 MHz (Δφ = 0.84π) and 1.2 MHz (Δφ = 1.6π), and 3) Three dimensional (3D) reconstruction of a moderate contrast sphere (Δφ = 1.32π). The 2D and 3D multi-frequency DBIM simulations were successfully stabilized by the proposed regularization scheme as evidenced by the low reconstruction mean square errors (MSEs) (Ac MSE = 9% for 2D and 15% for 3D) and the detection of the sub-wavelength inclusions in the 2D reconstruction. In experiments, the measured scattered fields agreed well with the predicted scattered fields from the phantom model (MSE = 4% for 0.64 MHz and MSE = 7.8% for 1.2 MHz). The MSE of the reconstructed image using only the experimental data at 0.64 MHz was 19%. Using the experimental data at 1.2 MHz to refine the 0.64 MHz reconstruction allowed the MSE to be reduced to 12%, and improved the spatial resolution as evidenced by the reduced edge blurring.

Original languageEnglish (US)
Title of host publication2007 IEEE Ultrasonics Symposium Proceedings, IUS
Number of pages4
StatePublished - 2007
Event2007 IEEE Ultrasonics Symposium, IUS - New York, NY, United States
Duration: Oct 28 2007Oct 31 2007

Publication series

NameProceedings - IEEE Ultrasonics Symposium
ISSN (Print)1051-0117


Other2007 IEEE Ultrasonics Symposium, IUS
Country/TerritoryUnited States
CityNew York, NY

ASJC Scopus subject areas

  • Acoustics and Ultrasonics


Dive into the research topics of 'Image reconstruction of moderate contrast targets using the distorted born iterative method'. Together they form a unique fingerprint.

Cite this