TY - JOUR
T1 - A study on the reconstruction of moderate contrast targets using the distorted born iterative method
AU - Lavarello, Roberto
AU - Pelze, Michael
N1 - Funding Information:
Manuscript received March 29, 2007; accepted August 8, 2007. This work was supported in part by a grant from the 3M Corporation. The authors are with the Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801 (e-mail: [email protected]). Digital Object Identifier 10.1109/TUFFC.2008.621
PY - 2008/1
Y1 - 2008/1
N2 - Previous tomographic methods using ultra-sound for reconstructing sound speed and attenuation images suffered from convergence issues for targets with moderate speed of sound contrast. Convergence problems can be overcome by the use of the multiple frequency, distorted Born iterative method (DBIM). The implementation of DBIM for measurement configurations in which receiver positions are fixed was studied, and a novel regularization scheme was developed. The regularization parameter needed to stabilize the inversion process initially was found through the Rayleigh quotient iteration, then relaxed according to the relative residual error between the measured and estimated scattered fields. The DBIM was successfully stabilized for both full and partial receiver angular coverage without a significant loss in spatial resolution. The effects of variable density in the reconstructions were briefly explored through simulations. The ability to reconstruct targets with moderate contrast was validated through experimental measurements. Speed of sound profiles for balloons filled with saline in a background of water were reconstructed using multiple frequency DBIM techniques. The mean squared error for speed of sound reconstructions of the balloon phantoms with 16.4% sound speed contrast was 1.1%.
AB - Previous tomographic methods using ultra-sound for reconstructing sound speed and attenuation images suffered from convergence issues for targets with moderate speed of sound contrast. Convergence problems can be overcome by the use of the multiple frequency, distorted Born iterative method (DBIM). The implementation of DBIM for measurement configurations in which receiver positions are fixed was studied, and a novel regularization scheme was developed. The regularization parameter needed to stabilize the inversion process initially was found through the Rayleigh quotient iteration, then relaxed according to the relative residual error between the measured and estimated scattered fields. The DBIM was successfully stabilized for both full and partial receiver angular coverage without a significant loss in spatial resolution. The effects of variable density in the reconstructions were briefly explored through simulations. The ability to reconstruct targets with moderate contrast was validated through experimental measurements. Speed of sound profiles for balloons filled with saline in a background of water were reconstructed using multiple frequency DBIM techniques. The mean squared error for speed of sound reconstructions of the balloon phantoms with 16.4% sound speed contrast was 1.1%.
UR - http://www.scopus.com/inward/record.url?scp=41649095805&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=41649095805&partnerID=8YFLogxK
U2 - 10.1109/TUFFC.2008.621
DO - 10.1109/TUFFC.2008.621
M3 - Article
C2 - 18334318
AN - SCOPUS:41649095805
SN - 0885-3010
VL - 55
SP - 112
EP - 124
JO - IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
JF - IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
IS - 1
M1 - 4454307
ER -