eprintid: 783 rev_number: 9 eprint_status: archive userid: 7 dir: disk0/00/00/07/83 datestamp: 2018-09-28 08:55:36 lastmod: 2018-09-28 08:55:36 status_changed: 2018-09-28 08:55:36 type: monograph metadata_visibility: show creators_name: Oliveri, G. creators_name: Salucci, M. creators_name: Anselmi, N. title: Microwave Imaging of Sparse Objects through Matrix Completion ispublished: pub subjects: AWC subjects: MAT subjects: MCS full_text_status: public monograph_type: technical_report keywords: Born approximation (BA), Bayesian Compressive Sensing (BCS), Inverse Scattering (IS), Matrix Completion (MC) abstract: In this work, a novel approach to solve the inverse scattering (IS) problem to image sparse and weak targets is presented. Towards this aim, the 2D-TM IS problem at hand is formulated within the first-order Born approximation and solved by integrating a Bayesian compressive sensing (BCS) solver with a customized matrix completion (MC) procedure. If from the one hand the BCS allows the exploitation of sparseness priors to regularize the IS problem, on the other hand the MC allows to enhance the reconstruction quality when dealing with highly noisy scattering data, allowing to filter out the less reliable solution coefficients and to complete the retrieved dielectric profile image. date: 2018 publisher: ELEDIA Research Center - University of Trento referencetext: L. Poli, G. Oliveri, P. Rocca, and A. Massa, “Bayesian compressive sensing approaches for the reconstruction of two-dimensional sparse scatterers under TE illuminations,” IEEE Trans. Geosci. Remote Sens., vol. 51, no. 5, pp. 2920-2936, May 2013. G. Oliveri, M. Salucci, and N. Anselmi, "Tomographic imaging of sparse low-contrast targets in harsh environments through matrix completion," IEEE Trans. Microw. Theory Tech., vol. 66, no. 6, pp. 2714-2730, Jun. 2018. N. Anselmi, L. Poli, G. Oliveri, and A. Massa, "Iterative multi-resolution bayesian CS for microwave imaging," IEEE Trans. Antennas Propag., vol. 66, no. 7, pp. 3665-3677, Jul. 2018. G. Oliveri, M. Salucci, N. Anselmi, and A. Massa, "Compressive sensing as applied to inverse problems for imaging: theory, applications, current trends, and open challenges," IEEE Antennas Propag. Mag. - Special Issue on "Electromagnetic Inverse Problems for Sensing and Imaging," vol. 59, no. 5, pp. 34-46, Oct. 2017. N. Anselmi, G. Oliveri, M. A. Hannan, M. Salucci, and A. Massa, "Color compressive sensing imaging of arbitrary-shaped scatterers," IEEE Trans. Microw. Theory Techn., vol. 65, no. 6, pp. 1986-1999, Jun. 2017. N. Anselmi, G. Oliveri, M. Salucci, and A. Massa, "Wavelet-based compressive imaging of sparse targets," IEEE Trans. Antennas Propag., vol. 63, no. 11, pp. 4889-4900, Nov. 2015. 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. L. Poli, G. Oliveri, and A. Massa, "Imaging sparse metallic cylinders through a Local Shape Function Bayesian Compressive Sensing approach," Journal of Optical Society of America A, vol. 30, no. 6, pp. 1261-1272, 2013. L. Poli, G. Oliveri, F. Viani, and A. Massa, "MT-BCS-based microwave imaging approach through minimum-norm current expansion," IEEE Trans. Antennas Propag., vol. 61, no. 9, pp. 4722-4732, Sep. 2013. L. Poli, G. Oliveri, and A. Massa, "Microwave imaging within the first-order Born approximation by means of the contrast-field Bayesian compressive sensing," IEEE Trans. Antennas Propag., vol. 60, no. 6, pp. 2865-2879, Jun. 2012. G. Oliveri, L. Poli, P. Rocca, and A. Massa, "Bayesian compressive optical imaging within the Rytov approximation," Optics Letters, vol. 37, no. 10, pp. 1760-1762, 2012. G. Oliveri, P. Rocca, and A. Massa, "A Bayesian compressive sampling-based inversion for imaging sparse scatterers," IEEE Trans. Geosci. Remote Sens., vol. 49, no. 10, pp. 3993-4006, Oct. 2011. G. Oliveri, M. Salucci, and A. Massa, "Synthesis of modular contiguously clustered linear arrays through a sparseness-regularized solver," IEEE Trans. Antennas Propag., vol. 64, no. 10, pp. 4277-4287, Oct. 2016. P. Rocca, M. A. Hannan, M. Salucci, and A. Massa, "Single-snapshot DoA estimation in array antennas with mutual coupling through a multi-scaling BCS strategy," IEEE Trans. Antennas Propag., vol. 65, no. 6, pp. 3203-3213, Jun. 2017. M. Salucci, A. Gelmini, L. Poli, G. Oliveri, and A. Massa, “Progressive compressive sensing for exploiting frequency-diversity in GPR imaging,” Journal of Electromagnetic Waves and Applications, vol. 32, no. 9, pp. 1164- 1193, 2018 (DOI: 10.1080/09205071.2018.1425160). citation: Oliveri, G. and Salucci, M. and Anselmi, N. (2018) Microwave Imaging of Sparse Objects through Matrix Completion. Technical Report. ELEDIA Research Center - University of Trento. document_url: http://www.eledia.org/students-reports/783/1/Microwave%20Imaging%20of%20Sparse%20Objects%20through%20Matrix%20Completion.pdf