eprintid: 805
rev_number: 7
eprint_status: archive
userid: 10
dir: disk0/00/00/08/05
datestamp: 2020-10-30 08:47:04
lastmod: 2020-10-30 08:47:04
status_changed: 2020-10-30 08:47:04
type: monograph
metadata_visibility: show
creators_name: SALUCCI, Marco
creators_name: POLO, Alessandro
creators_name: MASSA, Andrea
creators_id: marco.salucci@unitn.it
creators_id: alessandro.polo.1@unitn.it
creators_id: andrea.massa@unitn.it
title: A Robust Multi‐Resolution Approach for Solving Fully Non‐Linear Inverse Scattering Problems
ispublished: pub
subjects: AWC
full_text_status: public
monograph_type: technical_report
keywords: Inverse Scattering, Microwave Imaging, Iterative Multi-Scaling Approach, New Integral Equation
abstract: The solution of highly non‐linear inverse scattering (IS) problems is dealt with in this work. More in detail, an innovative IS strategy is introduced to tackle the ill‐posedness and non‐linearity issues, allowing to remarkably overcome the limitations of state‐fo‐the‐art methods based on the classical Lippmann‐Schwinger Integral Equation (LSIE) formulation. It is based on the effective integration of a New Integral Equation (NIE) method with a multi‐resolution scheme (i.e., the Iterative Multi‐Scaling Approach ‐ IMSA). The arising IMSA‐NIE method is able to adaptively increase the resolution only in those sub‐regions of the imaged domain where the presence of an unknown target has been previously detected. Moreover, it allows to robustly retrieve images of strong scatterers even in presence of significant noise components on the scattered field used to make the inversions. Numerical results are shown to validate the effectiveness of the approach under several operative conditions involving several signal‐to‐noise ratios and considering different values of relative permittivity of the unknown target.
publisher: ELEDIA Research Center - University of Trento
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[3] T. Moriyama, G. Oliveri, M. Salucci, and T. Takenaka, "A multi-scaling forward-backward time-stepping method for microwave imaging," IEICE Electronics Express, vol. 11, no. 16, pp. 20140569(1-10), Aug. 2014.

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[6] T. Moriyama, M. Salucci, T. Tanaka, and T. Takenaka, "Image reconstruction from total electric field data with no information on incident field," J. Electromagn. Waves Appl., 2016.

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[11] M. Salucci, A. Gelmini, L. Poli, G. Oliveri, and A. Massa, "Progressive compressive sensing for exploiting frequency-diversity in GPR imaging," J. Electromagn. Waves Appl., vol. 32, no. 9, pp. 1164- 1193, 2018.

[12] G. Oliveri, M. Salucci, and N. Anselmi, "Tomographic imaging of sparse low-contrast targets in harsh environments through matrix completion," IEEE Trans. Microw. Theory Techn., vol. 66, no. 6, pp. 2714-2730, Jun. 2018.

[13] M. Salucci, L. Poli, and G. Oliveri, "Full-vectorial 3D microwave imaging of sparse scatterers through a multi-task Bayesian compressive sensing approach," J. Imaging, vol. 5, no. 1, pp. 1-24, Jan. 2019.

[14] M. Salucci, G. Oliveri, and A. Massa, "Real-time electrical impedance tomography of the human chest by means of a learning-by-examples method,", IEEE J. Electromagn., RF, Microw. Med. Biol., vol. 3, no. 2, pp. 88-96, Jun. 2019.

[15] G. Oliveri, L. Poli, N. Anselmi, M. Salucci, and A. Massa, "Compressive sensing-based Born iterative method for tomographic imaging," IEEE Trans. Microw. Theory Techn., vol. 67, no. 5, pp. 1753-1765, May 2019.

[16] I. Merunka, A. Massa, D. Vrba, O. Fiser, M. Salucci, and J. Vrba, "Microwave tomography system for methodical testing of human brain stroke detection approaches," Int. J. Antennas Propag., vol. 2019, ID 4074862, pp. 1-9, 2019.

[17] Y. Zhong, M. Salucci, K. Xu, A. Polo, and A. Massa, "A multi-resolution contraction integral equation method for solving highly non-linear inverse scattering problems," IEEE Trans. Microw. Theory Techn., vol. 68, no. 4, pp. 1234-1247, Apr. 2020.

[18] M. Salucci, A. Polo, K. Xu, and Y. Zhong, "A multi-resolution computational method to solve highly non-linear inverse scattering problems," Journal of Physics: Conference Series, vol. 1476, pp. 1-6, 2020.

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[20] G. Oliveri, P.-P. Ding, and L. Poli "3D crack detection in anisotropic layered media through a sparseness-regularized solver," IEEE Antennas Wireless Propag. Lett., vol. 14, pp. 1031-1034, 2015.

[21] L. Poli, G. Oliveri, P.-P. Ding, T. Moriyama, and A. Massa, "Multifrequency Bayesian compressive sensing methods for microwave imaging," J. Opt. Soc. Am. A, vol. 31, no. 11, pp. 2415-2428, 2014.

[22] G. Oliveri, N. Anselmi, and A. Massa, "Compressive sensing imaging of non-sparse 2D scatterers by a total-variation approach within the Born approximation," IEEE Trans. Antennas Propag., vol. 62, no. 10, pp. 5157-5170, Oct. 2014.
citation:   SALUCCI, Marco and POLO, Alessandro and MASSA, Andrea   A Robust Multi‐Resolution Approach for Solving Fully Non‐Linear Inverse Scattering Problems.  Technical Report. ELEDIA Research Center - University of Trento.     
document_url: http://www.eledia.org/students-reports/805/1/A_Robust_Multi%E2%80%90Resolution_Approach_for_Solving_Fully_Non%E2%80%90Linear_Inverse_Scattering_Problems.pdf