Sparse Nonlinear Electromagnetic Imaging Accelerated With Projected Steepest Descent Algorithm

Handle URI:
http://hdl.handle.net/10754/623106
Title:
Sparse Nonlinear Electromagnetic Imaging Accelerated With Projected Steepest Descent Algorithm
Authors:
Desmal, Abdulla ( 0000-0003-0861-8908 ) ; Bagci, Hakan ( 0000-0003-3867-5786 )
Abstract:
An efficient electromagnetic inversion scheme for imaging sparse 3-D domains is proposed. The scheme achieves its efficiency and accuracy by integrating two concepts. First, the nonlinear optimization problem is constrained using L₀ or L₁-norm of the solution as the penalty term to alleviate the ill-posedness of the inverse problem. The resulting Tikhonov minimization problem is solved using nonlinear Landweber iterations (NLW). Second, the efficiency of the NLW is significantly increased using a steepest descent algorithm. The algorithm uses a projection operator to enforce the sparsity constraint by thresholding the solution at every iteration. Thresholding level and iteration step are selected carefully to increase the efficiency without sacrificing the convergence of the algorithm. Numerical results demonstrate the efficiency and accuracy of the proposed imaging scheme in reconstructing sparse 3-D dielectric profiles.
KAUST Department:
Division of Computer, Electrical, and Mathematical Science and Engineering, King Abdullah University of Science and Technology, Thuwal 23955-6900, Saudi Arabia
Citation:
Desmal A, Bagci H (2017) Sparse Nonlinear Electromagnetic Imaging Accelerated With Projected Steepest Descent Algorithm. IEEE Transactions on Geoscience and Remote Sensing: 1–13. Available: http://dx.doi.org/10.1109/TGRS.2017.2681184.
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
IEEE Transactions on Geoscience and Remote Sensing
Issue Date:
3-Apr-2017
DOI:
10.1109/TGRS.2017.2681184
Type:
Article
ISSN:
0196-2892; 1558-0644
Additional Links:
http://ieeexplore.ieee.org/document/7891587/
Appears in Collections:
Articles

Full metadata record

DC FieldValue Language
dc.contributor.authorDesmal, Abdullaen
dc.contributor.authorBagci, Hakanen
dc.date.accessioned2017-04-10T07:49:51Z-
dc.date.available2017-04-10T07:49:51Z-
dc.date.issued2017-04-03en
dc.identifier.citationDesmal A, Bagci H (2017) Sparse Nonlinear Electromagnetic Imaging Accelerated With Projected Steepest Descent Algorithm. IEEE Transactions on Geoscience and Remote Sensing: 1–13. Available: http://dx.doi.org/10.1109/TGRS.2017.2681184.en
dc.identifier.issn0196-2892en
dc.identifier.issn1558-0644en
dc.identifier.doi10.1109/TGRS.2017.2681184en
dc.identifier.urihttp://hdl.handle.net/10754/623106-
dc.description.abstractAn efficient electromagnetic inversion scheme for imaging sparse 3-D domains is proposed. The scheme achieves its efficiency and accuracy by integrating two concepts. First, the nonlinear optimization problem is constrained using L₀ or L₁-norm of the solution as the penalty term to alleviate the ill-posedness of the inverse problem. The resulting Tikhonov minimization problem is solved using nonlinear Landweber iterations (NLW). Second, the efficiency of the NLW is significantly increased using a steepest descent algorithm. The algorithm uses a projection operator to enforce the sparsity constraint by thresholding the solution at every iteration. Thresholding level and iteration step are selected carefully to increase the efficiency without sacrificing the convergence of the algorithm. Numerical results demonstrate the efficiency and accuracy of the proposed imaging scheme in reconstructing sparse 3-D dielectric profiles.en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.relation.urlhttp://ieeexplore.ieee.org/document/7891587/en
dc.rights(c) 2017 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works. Released under the IEEE Open Access Publishing Agreement.en
dc.rights.urihttp://www.ieee.org/publications_standards/publications/rights/oa_author_choices.htmlen
dc.subjectAccelerated steepest descenten
dc.subjectelectromagnetic imagingen
dc.subjectelectromagnetic inverse scatteringen
dc.subjectLandweber iterationsen
dc.subjectnonlinear ill-posed problemen
dc.subjectnumerical methodsen
dc.subjectsparsityen
dc.titleSparse Nonlinear Electromagnetic Imaging Accelerated With Projected Steepest Descent Algorithmen
dc.typeArticleen
dc.contributor.departmentDivision of Computer, Electrical, and Mathematical Science and Engineering, King Abdullah University of Science and Technology, Thuwal 23955-6900, Saudi Arabiaen
dc.identifier.journalIEEE Transactions on Geoscience and Remote Sensingen
dc.eprint.versionPublisher's Version/PDFen
kaust.authorDesmal, Abdullaen
kaust.authorBagci, Hakanen
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