{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,16]],"date-time":"2024-06-16T00:07:39Z","timestamp":1718496459530},"reference-count":55,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2019,1,15]],"date-time":"2019-01-15T00:00:00Z","timestamp":1547510400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100006601","name":"Ministero degli Affari Esteri e della Cooperazione Internazionale","doi-asserted-by":"publisher","award":["SnATCH"],"id":[{"id":"10.13039\/501100006601","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003407","name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca","doi-asserted-by":"publisher","award":["WATERTECH"],"id":[{"id":"10.13039\/501100003407","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Imaging"],"abstract":"In this paper, the full-vectorial three-dimensional (3D) microwave imaging (MI) of sparse scatterers is dealt with. Towards this end, the inverse scattering (IS) problem is formulated within the contrast source inversion (CSI) framework and it is aimed at retrieving the sparsest and most probable distribution of the contrast source within the imaged volume. A customized multi-task Bayesian compressive sensing (MT-BCS) method is used to yield regularized solutions of the 3D-IS problem with a remarkable computational efficiency. Selected numerical results on representative benchmarks are presented and discussed to assess the effectiveness and the reliability of the proposed MT-BCS strategy in comparison with other competitive state-of-the-art approaches, as well.<\/jats:p>","DOI":"10.3390\/jimaging5010019","type":"journal-article","created":{"date-parts":[[2019,1,16]],"date-time":"2019-01-16T08:09:13Z","timestamp":1547626153000},"page":"19","source":"Crossref","is-referenced-by-count":4,"title":["Full-Vectorial 3D Microwave Imaging of Sparse Scatterers through a Multi-Task Bayesian Compressive Sensing Approach"],"prefix":"10.3390","volume":"5","author":[{"ORCID":"http:\/\/orcid.org\/0000-0002-6948-8636","authenticated-orcid":false,"given":"Marco","family":"Salucci","sequence":"first","affiliation":[{"name":"ELEDIA Research Center (ELEDIA@UniTN\u2014University of Trento), Via Sommarive 9, I-38123 Trento, Italy"},{"name":"ELEDIA Research Center (ELEDIA@L2S\u2014UMR 8506), 3 rue Joliot Curie, 91192 Gif-sur-Yvette, France"}]},{"ORCID":"http:\/\/orcid.org\/0000-0002-8816-1970","authenticated-orcid":false,"given":"Lorenzo","family":"Poli","sequence":"additional","affiliation":[{"name":"ELEDIA Research Center (ELEDIA@UniTN\u2014University of Trento), Via Sommarive 9, I-38123 Trento, Italy"},{"name":"ELEDIA Research Center (ELEDIA@L2S\u2014UMR 8506), 3 rue Joliot Curie, 91192 Gif-sur-Yvette, France"}]},{"ORCID":"http:\/\/orcid.org\/0000-0002-5238-358X","authenticated-orcid":false,"given":"Giacomo","family":"Oliveri","sequence":"additional","affiliation":[{"name":"ELEDIA Research Center (ELEDIA@UniTN\u2014University of Trento), Via Sommarive 9, I-38123 Trento, Italy"},{"name":"ELEDIA Research Center (ELEDIA@L2S\u2014UMR 8506), 3 rue Joliot Curie, 91192 Gif-sur-Yvette, France"}]}],"member":"1968","published-online":{"date-parts":[[2019,1,15]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Chen, X. (2018). Computational Methods for Electromagnetic Inverse Scattering, Wiley-IEEE.","DOI":"10.1002\/9781119311997"},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Zoughi, R. (2000). Microwave Nondestructive Testing and Evaluation, Kluwer.","DOI":"10.1007\/978-94-015-1303-6"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"258","DOI":"10.1109\/TAP.2016.2630598","article-title":"Wideband microwave camera for real-time 3-D imaging","volume":"65","author":"Ghasr","year":"2017","journal-title":"IEEE Trans. Antennas Propag."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"2463","DOI":"10.1109\/LGRS.2015.2484260","article-title":"Fast 3-D qualitative method for through-wall imaging and structural health monitoring","volume":"12","author":"Fallahpour","year":"2015","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1049\/ip-rsn:20010421","article-title":"Microwave detection of buried mines using non-contact, synthetic near-field focusing","volume":"148","author":"Benjamin","year":"2001","journal-title":"IEE P-Radar Son. Nav."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"1581","DOI":"10.1109\/22.942570","article-title":"Three-dimensional millimeter-wave imaging for concealed weapon detection","volume":"49","author":"Sheen","year":"2001","journal-title":"IEEE Trans. Microwave Theory Technol."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"4178","DOI":"10.1109\/TGRS.2015.2392558","article-title":"Model-based quantitative cross-borehole GPR imaging via virtual experiments","volume":"53","author":"Crocco","year":"2015","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1109\/LAWP.2006.870363","article-title":"Linear and nonlinear microwave tomography approaches for subsurface prospecting: Validation on real data","volume":"5","author":"Catapano","year":"2006","journal-title":"IEEE Antennas Wirel. Propag. Lett."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"2527","DOI":"10.1109\/36.964991","article-title":"Subsurface inverse scattering problems: Quantifying, qualifying, and achieving the available information","volume":"39","author":"Bucci","year":"2001","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1002\/2015RS005904","article-title":"Exploiting sparsity and field conditioning in subsurface microwave imaging of nonweak buried targets","volume":"51","author":"Bevacqua","year":"2016","journal-title":"Radio Sci."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"3526","DOI":"10.1109\/TAP.2012.2196932","article-title":"Three-dimensional microwave holographic imaging using co- and cross-polarized data","volume":"60","author":"Amineh","year":"2012","journal-title":"IEEE Trans. Antennas Propag."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"2284","DOI":"10.1109\/TMTT.2005.850459","article-title":"Microwave-tomographic imaging of the high dielectric-contrast objects using different image-reconstruction approaches","volume":"53","author":"Semenov","year":"2005","journal-title":"IEEE Trans. Microw. Theory Technol."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"1071","DOI":"10.1109\/22.904748","article-title":"Three-dimensional microwave tomography: Experimental imaging of phantoms and biological objects","volume":"48","author":"Semenov","year":"2000","journal-title":"IEEE Trans. Microwave Theory Technol."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"544","DOI":"10.1109\/TBME.2003.821052","article-title":"Three-dimensional nonlinear image reconstruction for microwave biomedical imaging","volume":"51","author":"Zhang","year":"2004","journal-title":"IEEE Trans. Biomed. Eng."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"1053","DOI":"10.1109\/10.942596","article-title":"Computational modeling of three-dimensional microwave tomography of breast cancer","volume":"48","author":"Bulyshev","year":"2001","journal-title":"IEEE Trans. Biomed. Eng."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"2526","DOI":"10.1109\/TBME.2015.2435735","article-title":"A 3-D level set method for microwave breast imaging","volume":"62","author":"Colgan","year":"2015","journal-title":"IEEE Trans. Biomed. Eng."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"969","DOI":"10.1109\/TMI.2008.2008959","article-title":"Three-dimensional microwave breast imaging: dispersive dielectric properties estimation using patient-specific basis functions","volume":"28","author":"Winters","year":"2009","journal-title":"IEEE Trans. Med. Imaging"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"1584","DOI":"10.1109\/TMI.2012.2197218","article-title":"Fast 3-D tomographic microwave imaging for breast cancer detection","volume":"31","author":"Grzegorczyk","year":"2012","journal-title":"IEEE Trans. Med. Imaging"},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"2232","DOI":"10.1109\/TBME.2009.2022635","article-title":"Advances in the 3-D forward-backward time-stepping (FBTS) inverse scattering technique for breast cancer detection","volume":"56","author":"Johnson","year":"2009","journal-title":"IEEE Trans. Biomed. Eng."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"665","DOI":"10.1109\/TMI.2015.2490340","article-title":"A compressive sensing approach for 3D breast cancer microwave imaging with magnetic nanoparticles as contrast agent","volume":"35","author":"Bevacqua","year":"2016","journal-title":"IEEE Trans. Med. Imaging"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"1630","DOI":"10.1109\/LAWP.2012.2236676","article-title":"MNP enhanced microwave breast cancer imaging: Measurement constraints and achievable performances","volume":"11","author":"Bucci","year":"2012","journal-title":"IEEE Antennas Wirel. Propag. Lett."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1049\/el.2011.2990","article-title":"Matching fluid influence on field scattered from breast tumour: Analysis using 3D realistic numerical phantoms","volume":"48","author":"Angiulli","year":"2012","journal-title":"Electron. Lett."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"3993","DOI":"10.1109\/TGRS.2011.2128329","article-title":"A Bayesian compressive sampling-based inversion for imaging sparse scatterers","volume":"49","author":"Oliveri","year":"2011","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"829","DOI":"10.1109\/TAP.2016.2633070","article-title":"Microwave imaging via distorted iterated virtual experiments","volume":"65","author":"Palmeri","year":"2017","journal-title":"IEEE Trans. Antennas Propag."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"2478","DOI":"10.1109\/TMTT.2016.2584604","article-title":"A new linear distorted-wave inversion method for microwave imaging via virtual experiments","volume":"64","author":"Palmeri","year":"2016","journal-title":"IEEE Trans. Microwave Theory Technol."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"1669","DOI":"10.1109\/TAP.2015.2392124","article-title":"Inverse scattering via virtual experiments and contrast source regularization","volume":"63","author":"Bevacqua","year":"2015","journal-title":"IEEE Trans. Antennas Propag."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"601","DOI":"10.1109\/TAP.2014.2382114","article-title":"An algebraic solution method for nonlinear inverse scattering","volume":"63","author":"Bevacqua","year":"2015","journal-title":"IEEE Trans. Antennas Propag."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"843","DOI":"10.1109\/TAP.2012.2220329","article-title":"An improved simple method for imaging the shape of complex targets","volume":"61","author":"Crocco","year":"2013","journal-title":"IEEE Trans. Antennas Propag."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"2920","DOI":"10.1109\/TGRS.2012.2218613","article-title":"Bayesian compressive sensing approaches for the reconstruction of two-dimensional sparse scatterers under TE illumination","volume":"51","author":"Poli","year":"2013","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"3361","DOI":"10.1109\/TAP.2012.2196931","article-title":"A three-dimensional model-based inversion algorithm using radial basis functions for microwave data","volume":"60","author":"Li","year":"2012","journal-title":"IEEE Trans. Antennas Propag."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"708","DOI":"10.1109\/TBME.2002.1010855","article-title":"Quantification of 3-D field effects during 2-D microwave imaging","volume":"49","author":"Meaney","year":"2002","journal-title":"IEEE Trans. Biomed. Eng."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"937","DOI":"10.1109\/10.775403","article-title":"Three-dimensional microwave tomography: Experimental prototype of the system and vector Born reconstruction method","volume":"46","author":"Semenov","year":"1999","journal-title":"IEEE Trans. Biomed. Eng."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"2123","DOI":"10.1029\/97RS01826","article-title":"Electromagnetic inverse scattering: retrievable information and measurement strategies","volume":"32","author":"Bucci","year":"1997","journal-title":"Radio Sci."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"812","DOI":"10.1109\/TBME.2002.800759","article-title":"Confocal microwave imaging for breast cancer detection: Localization of tumors in three dimensions","volume":"49","author":"Fear","year":"2002","journal-title":"IEEE Trans. Biomed. Imaging"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"2327","DOI":"10.1109\/TAP.2010.2048848","article-title":"3D nonlinear super-resolution microwave inversion technique using time-domain data","volume":"58","author":"Ali","year":"2010","journal-title":"IEEE Trans. Antennas Propag."},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"2431","DOI":"10.1109\/TAP.2012.2189712","article-title":"Application of the multiplicative regularized Gauss-Newton algorithm for three-dimensional microwave imaging","volume":"60","author":"Abubakar","year":"2012","journal-title":"IEEE Trans. Antennas Propag."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"1467","DOI":"10.1109\/TGRS.2008.2005529","article-title":"Three-dimensional microwave imaging problems solved through an efficient multi-scaling particle swarm optimization","volume":"47","author":"Donelli","year":"2009","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"3279","DOI":"10.1109\/TAP.2007.908824","article-title":"Full-wave three-dimensional microwave imaging with a regularized Gauss-Newton Method\u2014Theory and experiment","volume":"55","author":"Franchois","year":"2007","journal-title":"IEEE Trans. Antennas Propag."},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"784","DOI":"10.1109\/8.402197","article-title":"Conjugate gradient method applied to inverse scattering problem","volume":"43","author":"Harada","year":"1995","journal-title":"IEEE Trans. Antennas Propag."},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"1119","DOI":"10.1364\/JOSAA.34.001119","article-title":"Three-dimensional electromagnetic imaging of dielectric targets by means of the multiscaling inexact-Newton method","volume":"34","author":"Salucci","year":"2017","journal-title":"J. Opt. Soc. Am. A"},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"609","DOI":"10.1109\/TCI.2018.2859634","article-title":"Three-Dimensional Microwave Imaging in LP Banach Spaces: Numerical and Experimental Results","volume":"4","author":"Estatico","year":"2018","journal-title":"IEEE Trans. Comput. Imaging"},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"2160","DOI":"10.1109\/TMI.2017.2712800","article-title":"Advanced fast 3-D electromagnetic solver for microwave tomography imaging","volume":"36","author":"Simonov","year":"2017","journal-title":"IEEE Trans. Med. Imaging"},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"441","DOI":"10.1109\/LAWP.2016.2582510","article-title":"Acceleration of 2-D multiplicative regularized contrast source inversion algorithm using paralleled computing architecture","volume":"16","author":"Wang","year":"2017","journal-title":"IEEE Antennas Wirel. Propag. Lett."},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"34","DOI":"10.1109\/MAP.2017.2731204","article-title":"Compressive sensing as applied to inverse problems for imaging: Theory, applications, current trends, and open challenges","volume":"59","author":"Oliveri","year":"2017","journal-title":"IEEE Antennas Propag. Mag."},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"224","DOI":"10.1109\/MAP.2015.2397092","article-title":"Compressive sensing in electromagnetics\u2014A review","volume":"57","author":"Massa","year":"2015","journal-title":"IEEE Antennas Propag. Mag."},{"key":"ref_46","doi-asserted-by":"crossref","first-page":"1986","DOI":"10.1109\/TMTT.2016.2645570","article-title":"Color compressive sensing imaging of arbitrary-shaped scatterers","volume":"65","author":"Anselmi","year":"2017","journal-title":"IEEE Trans. Microware Theory Technol."},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"1031","DOI":"10.1109\/LAWP.2014.2365523","article-title":"3D crack detection in anisotropic layered media through a sparseness-regularized solver","volume":"14","author":"Oliveri","year":"2015","journal-title":"IEEE Antennas Wirel. Propag. Lett."},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"4722","DOI":"10.1109\/TAP.2013.2265254","article-title":"MT-BCS-based microwave imaging approach through minimum-norm current expansion","volume":"61","author":"Poli","year":"2013","journal-title":"IEEE Trans. Antennas Propag."},{"key":"ref_49","doi-asserted-by":"crossref","first-page":"296","DOI":"10.1109\/TCI.2017.2675708","article-title":"Non-linear inverse scattering via sparsity regularized contrast source inversion","volume":"3","author":"Bevacqua","year":"2017","journal-title":"IEEE Trans. Computat. Imag."},{"key":"ref_50","doi-asserted-by":"crossref","first-page":"826","DOI":"10.1109\/LGRS.2014.2363238","article-title":"Three-dimensional sparse turntable microwave imaging based on compressive sensing","volume":"12","author":"Qiu","year":"2015","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_51","doi-asserted-by":"crossref","first-page":"1787","DOI":"10.1109\/TBME.2014.2307072","article-title":"Real-time microwave imaging of differential temperature for thermal therapy monitoring","volume":"61","author":"Haynes","year":"2014","journal-title":"IEEE Trans. Biomed. Eng."},{"key":"ref_52","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1088\/0266-5611\/25\/2\/024006","article-title":"Application of the multiplicative regularized contrast source inversion method on 3D experimental Fresnel data","volume":"25","author":"Li","year":"2009","journal-title":"Inverse Probl."},{"key":"ref_53","doi-asserted-by":"crossref","first-page":"92","DOI":"10.1109\/TSP.2008.2005866","article-title":"Multitask compressive sensing","volume":"57","author":"Ji","year":"2009","journal-title":"IEEE Trans. Signal Process."},{"key":"ref_54","first-page":"211","article-title":"Sparse Bayesian learning and the relevant vector machine","volume":"1","author":"Tipping","year":"2001","journal-title":"J. Mach. Learn. Res."},{"key":"ref_55","doi-asserted-by":"crossref","first-page":"1749","DOI":"10.1109\/36.851974","article-title":"Inverse scattering problems with multifrequency data: Reconstruction capabilities and solution strategies","volume":"38","author":"Bucci","year":"2000","journal-title":"IEEE Trans. Geosci. Remote Sens."}],"container-title":["Journal of Imaging"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2313-433X\/5\/1\/19\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,15]],"date-time":"2024-06-15T14:26:32Z","timestamp":1718461592000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2313-433X\/5\/1\/19"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,1,15]]},"references-count":55,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2019,1]]}},"alternative-id":["jimaging5010019"],"URL":"https:\/\/doi.org\/10.3390\/jimaging5010019","relation":{},"ISSN":["2313-433X"],"issn-type":[{"value":"2313-433X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,1,15]]}}}