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Weakly convex discontinuity adaptive regularization for microwave imaging

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FWO microwave tomography
Abstract
Reconstruction of inhomogeneous dielectric objects from microwave scattering is a nonlinear and ill-posed inverse problem. In this communication, we develop a new class of weakly convex discontinuity adaptive (WCDA) models as a regularization for quantitative microwave tomography. We show that this class includes the Huber regularizer and we show how to combine these methods with electromagnetic solvers operating on the complex permittivity profile. 2D reconstructions of objects from the Institute Fresnel database and experimental data at a single frequency demonstrate the effectiveness of the proposed regularization even when employing far less transmitters and receivers than available in the database.
Keywords
electromagnetic scattering, Discontinuity adaptive regularization, inverse problem, microwave imaging, INVERSE SCATTERING, OBJECTS, TM

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Citation

Please use this url to cite or link to this publication:

Chicago
Bai, Funing, Aleksandra Pizurica, Ann Franchois, Sam Vanloocke, Daniël De Zutter, and Wilfried Philips. 2013. “Weakly Convex Discontinuity Adaptive Regularization for Microwave Imaging.” Ieee Transactions on Antennas and Propagation 61 (12): 6242–6246.
APA
Bai, F., Pizurica, A., Franchois, A., Vanloocke, S., De Zutter, D., & Philips, W. (2013). Weakly convex discontinuity adaptive regularization for microwave imaging. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 61(12), 6242–6246.
Vancouver
1.
Bai F, Pizurica A, Franchois A, Vanloocke S, De Zutter D, Philips W. Weakly convex discontinuity adaptive regularization for microwave imaging. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION. 2013;61(12):6242–6.
MLA
Bai, Funing, Aleksandra Pizurica, Ann Franchois, et al. “Weakly Convex Discontinuity Adaptive Regularization for Microwave Imaging.” IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION 61.12 (2013): 6242–6246. Print.
@article{2154815,
  abstract     = {Reconstruction of inhomogeneous dielectric objects from microwave scattering is a nonlinear and ill-posed inverse problem. In this communication, we develop a new class of weakly convex discontinuity adaptive (WCDA) models as a regularization for quantitative microwave tomography. We show that this class includes the Huber regularizer and we show how to combine these methods with electromagnetic solvers operating on the complex permittivity profile. 2D reconstructions of objects from the Institute Fresnel database and experimental data at a single frequency demonstrate the effectiveness of the proposed regularization even when employing far less transmitters and receivers than available in the database.},
  author       = {Bai, Funing and Pizurica, Aleksandra and Franchois, Ann and Vanloocke, Sam and De Zutter, Dani{\"e}l and Philips, Wilfried},
  issn         = {0018-926X},
  journal      = {IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION},
  keyword      = {electromagnetic scattering,Discontinuity adaptive regularization,inverse problem,microwave imaging,INVERSE SCATTERING,OBJECTS,TM},
  language     = {eng},
  number       = {12},
  pages        = {6242--6246},
  title        = {Weakly convex discontinuity adaptive regularization for microwave imaging},
  url          = {http://dx.doi.org/10.1109/TAP.2013.2283603},
  volume       = {61},
  year         = {2013},
}

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