TY - JOUR
T1 - Shrinkage-thresholding enhanced born iterative method for solving 2D inverse electromagnetic scattering problem
AU - Desmal, Abdulla
AU - Bagci, Hakan
N1 - KAUST Repository Item: Exported on 2020-10-01
PY - 2014/7
Y1 - 2014/7
N2 - A numerical framework that incorporates recently developed iterative shrinkage thresholding (IST) algorithms within the Born iterative method (BIM) is proposed for solving the two-dimensional inverse electromagnetic scattering problem. IST algorithms minimize a cost function weighted between measurement-data misfit and a zeroth/first-norm penalty term and therefore promote "sharpness" in the solution. Consequently, when applied to domains with sharp variations, discontinuities, or sparse content, the proposed framework is more efficient and accurate than the "classical" BIM that minimizes a cost function with a second-norm penalty term. Indeed, numerical results demonstrate the superiority of the IST-BIM over the classical BIM when they are applied to sparse domains: Permittivity and conductivity profiles recovered using the IST-BIM are sharper and more accurate and converge faster. © 1963-2012 IEEE.
AB - A numerical framework that incorporates recently developed iterative shrinkage thresholding (IST) algorithms within the Born iterative method (BIM) is proposed for solving the two-dimensional inverse electromagnetic scattering problem. IST algorithms minimize a cost function weighted between measurement-data misfit and a zeroth/first-norm penalty term and therefore promote "sharpness" in the solution. Consequently, when applied to domains with sharp variations, discontinuities, or sparse content, the proposed framework is more efficient and accurate than the "classical" BIM that minimizes a cost function with a second-norm penalty term. Indeed, numerical results demonstrate the superiority of the IST-BIM over the classical BIM when they are applied to sparse domains: Permittivity and conductivity profiles recovered using the IST-BIM are sharper and more accurate and converge faster. © 1963-2012 IEEE.
UR - http://hdl.handle.net/10754/563618
UR - http://ieeexplore.ieee.org/document/6808475/
UR - http://www.scopus.com/inward/record.url?scp=84904153254&partnerID=8YFLogxK
U2 - 10.1109/TAP.2014.2321144
DO - 10.1109/TAP.2014.2321144
M3 - Article
SN - 0018-926X
VL - 62
SP - 3878
EP - 3884
JO - IEEE Transactions on Antennas and Propagation
JF - IEEE Transactions on Antennas and Propagation
IS - 7
ER -