eprintid: 780 rev_number: 13 eprint_status: archive userid: 7 dir: disk0/00/00/07/80 datestamp: 2018-08-20 08:10:15 lastmod: 2024-07-09 19:26:18 status_changed: 2018-08-20 08:10:15 type: monograph metadata_visibility: show creators_name: Anselmi, N. creators_name: Poli, L. creators_name: Oliveri, G. creators_name: Massa, A. title: Multi‐Resolution Imaging through a Novel Bayesian Compressive Sensing Approach ispublished: pub subjects: AWC subjects: MAT subjects: MCS full_text_status: public monograph_type: technical_report keywords: Born approximation (BA), compressive sensing (CS), inverse scattering (IS), microwave imaging, relevance vector machine (RVM) abstract: In this work, a multi-resolution strategy is proposed for improving the reconstruction capabilities of standard Bayesian compressive sensing (BCS) when dealing with the imaging of sparse targets. Towards this end, a customized relevance vector machine (RVM) solver is derived and implemented in order to exploit the progressively acquired information about the scatterer shape and location within the imaged domain. Some numerical results are shown to validate the effectiveness of the proposed imaging technique. date: 2018 publisher: ELEDIA Research Center - University of Trento referencetext: M. Salucci, G. Oliveri, and A. Massa, “GPR prospecting through an inverse scattering frequency-hopping multi-focusing approach,” IEEE Trans. Geosci. Remote Sens., vol. 53, no. 12, pp. 6573-6592, Dec. 2015 (DOI: 10.1109/TGRS.2015.2444391). M. Salucci, L. Poli, N. Anselmi, and A. Massa, "Multifrequency Particle Swarm Optimization for enhanced multiresolution GPR microwave imaging," IEEE Trans. Geosci. Remote Sens., vol. 55, no. 3, pp. 1305-1317, Mar. 2017 (DOI: 10.1109/TGRS.2016.2622061). M. Salucci, L. Poli, and A. Massa, "Advanced multi-frequency GPR data processing for non-linear deterministic imaging," Signal Processing - Special Issue on 'Advanced Ground-Penetrating Radar Signal-Processing Techniques,' vol. 132, pp. 306-318, Mar. 2017 (DOI: 10.1016/j.sigpro.2016.06.019). 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 (DOI: 10.1109/TAP.2015.2444423). 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 (DOI: 10.1109/MAP.2017.2731204). A. Massa, P. Rocca, and G. Oliveri, "Compressive sensing in electromagnetics - A review," IEEE Antennas Propag. 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A, vol. 30, no. 6, pp. 1261-1272, 2013 (DOI: 10.1364/JOSAA.30.001261). 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 (DOI: 10.1109/TAP.2013.2265254). F. Viani, L. Poli, G. Oliveri, F. Robol, and A. Massa, "Sparse scatterers imaging through approximated multitask compressive sensing strategies," Microwave Opt. Technol. Lett., vol. 55, no. 7, pp. 1553-1558, Jul. 2013 (10.1002/mop.27612). L. Poli, G. Oliveri, P. Rocca, and A. Massa, "Bayesian compressive sensing approaches for the reconstruction of two-dimensional sparse scatterers under TE illumination," IEEE Trans. Geosci. Remote Sens., vol. 51, no. 5, pp. 2920-2936, May 2013 (DOI: 10.1109/TGRS.2012.2218613). 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 (DOI: 10.1109/TAP.2012.2194676). 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 (DOI: 10.1364/OL.37.001760). 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 (DOI: 10.1109/TGRS.2011.2128329). 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 (DOI: 10.1109/TMTT.2018.2825393). 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 (DOI: 10.1080/09205071.2018.1425160). citation: Anselmi, N. and Poli, L. and Oliveri, G. and Massa, A. (2018) Multi‐Resolution Imaging through a Novel Bayesian Compressive Sensing Approach. Technical Report. ELEDIA Research Center - University of Trento. document_url: http://www.eledia.org/students-reports/780/1/Multi%E2%80%90Resolution_Imaging_through_a_Novel_Bayesian_Compressive_Sensing_Approach.v2.pdf