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Piecewise smoothed value picking regularization applied to 2-D TM and TE inverse scattering

Sara Van den Bulcke (UGent) , Ann Franchois (UGent) and Daniël De Zutter (UGent)
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Abstract
The Stepwise Relaxed Value Picking (SRVP) regularization technique, proposed earlier for the iterative reconstruction of piecewise (quasi-) homogeneous objects, is a non-spatial technique, whereby the reconstruction unknowns are clustered around a limited number of-a-priori unknown-reference values. Artifacts have been observed in some 2-D and 3D complex permittivity reconstructions. This paper therefore combines the non-spatial SRVP technique with a spatial smoothing technique, whereby the reference values provided by the former-in each iteration-are employed by the latter to define separate smoothing regions. This way edges are preserved, since the spatial smoothing constraints in the cost function are active within but not across the region boundaries. This combined technique, denoted as Stepwise Relaxed Piecewise Smoothed Value Picking (SRPSVP) regularization, is formulated for the 2.5D microwave inverse scattering problem and is illustrated with reconstructions from the Institut Fresnel 2-D scattering database.
Keywords
inverse scattering, Complex permittivity, microwave imaging, optimization, piecewise smoothing, reconstruction, regularization, ALGORITHM, RECONSTRUCTION, OBJECTS, REAL DATA, INHOMOGENEOUS TARGETS

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Citation

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Chicago
Van den Bulcke, Sara, Ann Franchois, and Daniël De Zutter. 2013. “Piecewise Smoothed Value Picking Regularization Applied to 2-D TM and TE Inverse Scattering.” Ieee Transactions on Antennas and Propagation 61 (6): 3261–3269.
APA
Van den Bulcke, S., Franchois, A., & De Zutter, D. (2013). Piecewise smoothed value picking regularization applied to 2-D TM and TE inverse scattering. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 61(6), 3261–3269.
Vancouver
1.
Van den Bulcke S, Franchois A, De Zutter D. Piecewise smoothed value picking regularization applied to 2-D TM and TE inverse scattering. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION. 2013;61(6):3261–9.
MLA
Van den Bulcke, Sara, Ann Franchois, and Daniël De Zutter. “Piecewise Smoothed Value Picking Regularization Applied to 2-D TM and TE Inverse Scattering.” IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION 61.6 (2013): 3261–3269. Print.
@article{4188796,
  abstract     = {The Stepwise Relaxed Value Picking (SRVP) regularization technique, proposed earlier for the iterative reconstruction of piecewise (quasi-) homogeneous objects, is a non-spatial technique, whereby the reconstruction unknowns are clustered around a limited number of-a-priori unknown-reference values. Artifacts have been observed in some 2-D and 3D complex permittivity reconstructions. This paper therefore combines the non-spatial SRVP technique with a spatial smoothing technique, whereby the reference values provided by the former-in each iteration-are employed by the latter to define separate smoothing regions. This way edges are preserved, since the spatial smoothing constraints in the cost function are active within but not across the region boundaries. This combined technique, denoted as Stepwise Relaxed Piecewise Smoothed Value Picking (SRPSVP) regularization, is formulated for the 2.5D microwave inverse scattering problem and is illustrated with reconstructions from the Institut Fresnel 2-D scattering database.},
  author       = {Van den Bulcke, Sara and Franchois, Ann and De Zutter, Dani{\"e}l},
  issn         = {0018-926X},
  journal      = {IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION},
  language     = {eng},
  number       = {6},
  pages        = {3261--3269},
  title        = {Piecewise smoothed value picking regularization applied to 2-D TM and TE inverse scattering},
  url          = {http://dx.doi.org/10.1109/TAP.2013.2250472},
  volume       = {61},
  year         = {2013},
}

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