{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,25]],"date-time":"2026-02-25T20:36:22Z","timestamp":1772051782121,"version":"3.50.1"},"reference-count":37,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2022,4,17]],"date-time":"2022-04-17T00:00:00Z","timestamp":1650153600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>Building reconstruction using high-resolution tomographic synthetic aperture radar (TomoSAR) point clouds has been very attractive in numerous applications, such as urban planning and dynamic city modeling. However, for side-looking TomoSAR, it is a challenge to reconstruct the obscured backs of buildings using traditional single-bounce scattering-based methods. It comes to our attention that the higher-order scattering points in airborne array TomoSAR point clouds may provide rich information on the backs of buildings. In this paper, the fourfold bounce (FB) scattering model of combined buildings in airborne array TomoSAR is derived, which not only explains the cause of FB scattering but also gives the distribution pattern of FB scattering points. Furthermore, a novel FB scattering-based method for the reconstruction of building backs is proposed. First, a two-step geometric constraint is used to detect the candidate FB scattering points. Subsequently, the FB scattering points are further detected by seed point selection and density estimation in the radar coordinate system. Finally, the backs of buildings can be reconstructed using the footprint inverted from the FB scattering points and the height information of the illuminated facades. To verify the FB scattering model and the effectiveness of the proposed method, the results from the simulated point clouds and the real airborne array TomoSAR point clouds are presented. Compared with the traditional roof point-based methods, the outstanding advantage of the proposed method is that it allows for the high-precision reconstruction of building backs, even in the case of poor roof points. Moreover, this paper may provide a novel perspective for the three-dimensional (3D) reconstruction of dense urban areas.<\/jats:p>","DOI":"10.3390\/rs14081937","type":"journal-article","created":{"date-parts":[[2022,4,19]],"date-time":"2022-04-19T02:39:31Z","timestamp":1650335971000},"page":"1937","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Fourfold Bounce Scattering-Based Reconstruction of Building Backs Using Airborne Array TomoSAR Point Clouds"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1095-1312","authenticated-orcid":false,"given":"Xiaowan","family":"Li","sequence":"first","affiliation":[{"name":"National Key Laboratory of Microwave Imaging Technology, Aerospace Information Research Institute, Chinese Academy of Sciences, Beijing 100190, China"},{"name":"School of Electronic, Electrical and Communication Engineering, University of Chinese Academy of Sciences, Beijing 100094, China"}]},{"given":"Fubo","family":"Zhang","sequence":"additional","affiliation":[{"name":"National Key Laboratory of Microwave Imaging Technology, Aerospace Information Research Institute, Chinese Academy of Sciences, Beijing 100190, China"}]},{"given":"Xingdong","family":"Liang","sequence":"additional","affiliation":[{"name":"National Key Laboratory of Microwave Imaging Technology, Aerospace Information Research Institute, Chinese Academy of Sciences, Beijing 100190, China"},{"name":"School of Electronic, Electrical and Communication Engineering, University of Chinese Academy of Sciences, Beijing 100094, China"}]},{"given":"Yanlei","family":"Li","sequence":"additional","affiliation":[{"name":"National Key Laboratory of Microwave Imaging Technology, Aerospace Information Research Institute, Chinese Academy of Sciences, Beijing 100190, China"}]},{"given":"Qichang","family":"Guo","sequence":"additional","affiliation":[{"name":"National Key Laboratory of Microwave Imaging Technology, Aerospace Information Research Institute, Chinese Academy of Sciences, Beijing 100190, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0732-4975","authenticated-orcid":false,"given":"Yangliang","family":"Wan","sequence":"additional","affiliation":[{"name":"National Key Laboratory of Microwave Imaging Technology, Aerospace Information Research Institute, Chinese Academy of Sciences, Beijing 100190, China"}]},{"given":"Xiangxi","family":"Bu","sequence":"additional","affiliation":[{"name":"National Key Laboratory of Microwave Imaging Technology, Aerospace Information Research Institute, Chinese Academy of Sciences, Beijing 100190, China"}]},{"given":"Yunlong","family":"Liu","sequence":"additional","affiliation":[{"name":"National Key Laboratory of Microwave Imaging Technology, Aerospace Information Research Institute, Chinese Academy of Sciences, Beijing 100190, China"}]}],"member":"1968","published-online":{"date-parts":[[2022,4,17]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1023\/A:1009797106866","article-title":"3D-GIS for urban purposes","volume":"2","author":"Bartel","year":"1998","journal-title":"Geoinformatica"},{"key":"ref_2","unstructured":"D\u00f6llner, J., Kolbe, T.H., Liecke, F., Sgouros, T., and Teichmann, K. (2006, January 15\u201317). The virtual 3d city model of berlin-managing, integrating, and communicating complex urban information. Proceedings of the 25th International Symposium on Urban Data Management UDMS 2006, Aalborg, Denmark."},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Tomaszewski, B. (2020). Geographic Information Systems (GIS) for Disaster Management, Routledge.","DOI":"10.4324\/9781351034869"},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Buyukdemircioglu, M., and Kocaman, S. (2020). Reconstruction and efficient visualization of heterogeneous 3d city models. Remote Sens., 12.","DOI":"10.3390\/rs12132128"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"54","DOI":"10.1049\/ip-rsn:19951791","article-title":"Radar tomography for the generation of three-dimensional images","volume":"142","author":"Knaell","year":"1995","journal-title":"IEE Proc. Radar Sonar Navig."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"2142","DOI":"10.1109\/36.868873","article-title":"First demonstration of airborne SAR tomography using multibaseline L-band data","volume":"38","author":"Reigber","year":"2000","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1016\/j.isprsjprs.2020.10.013","article-title":"Urban 3D imaging using airborne TomoSAR: Contextual information-based approach in the statistical way","volume":"170","author":"Jiao","year":"2020","journal-title":"ISPRS J. Photogramm. Remote Sens."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"606","DOI":"10.1109\/TGRS.2009.2031062","article-title":"The TerraSAR-X mission and system design","volume":"48","author":"Werninghaus","year":"2009","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1016\/j.jog.2010.01.001","article-title":"COSMO-SkyMed an existing opportunity for observing the Earth","volume":"49","author":"Covello","year":"2010","journal-title":"J. Geodyn."},{"key":"ref_10","unstructured":"Zhu, X.X., Montazeri, S., Gisinger, C., Hanssen, R., and Bamler, R. (2014, January 13\u201318). Geodetic TomoSAR-Fusion of SAR imaging geodesy and TomoSAR for 3D absolute scatterer positioning. Proceedings of the 2014 IEEE Geoscience and Remote Sensing Symposium, Quebec City, QC, Canada."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"953","DOI":"10.1109\/JSTARS.2014.2361430","article-title":"Automatic feature-based geometric fusion of multiview TomoSAR point clouds in urban area","volume":"8","author":"Wang","year":"2014","journal-title":"IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"3541","DOI":"10.1109\/TGRS.2013.2273619","article-title":"Facade reconstruction using multiview spaceborne TomoSAR point clouds","volume":"52","author":"Zhu","year":"2013","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"752","DOI":"10.1109\/TGRS.2014.2327391","article-title":"Robust reconstruction of building facades for large areas using spaceborne TomoSAR point clouds","volume":"53","author":"Shahzad","year":"2014","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"1292","DOI":"10.1109\/TGRS.2015.2477429","article-title":"Automatic detection and reconstruction of 2-D\/3-D building shapes from spaceborne TomoSAR point clouds","volume":"54","author":"Shahzad","year":"2015","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"2104","DOI":"10.1109\/JSTARS.2018.2814219","article-title":"Regularization and completion of TomoSAR point clouds in a projected height map domain","volume":"11","author":"Ley","year":"2018","journal-title":"IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens."},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Zhou, S., Li, Y., Zhang, F., Chen, L., and Bu, X. (2019). Automatic Regularization of TomoSAR Point Clouds for Buildings Using Neural Networks. Sensors, 19.","DOI":"10.3390\/s19173748"},{"key":"ref_17","unstructured":"Christensen, E.L., and Dich, M. (1993, January 18\u201321). SAR antenna design for ambiguity and multipath suppression. Proceedings of the IGARSS\u201993-IEEE International Geoscience and Remote Sensing Symposium, Tokyo, Japan."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"4571","DOI":"10.1109\/TIP.2013.2256916","article-title":"Multipath exploitation in through-wall radar imaging via point spread functions","volume":"22","author":"Setlur","year":"2013","journal-title":"IEEE Trans. Image Process."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"1078","DOI":"10.1109\/JSTARS.2014.2363233","article-title":"Multipath ghosts in radar imaging: Physical insight and mitigation strategies","volume":"8","author":"Gennarelli","year":"2014","journal-title":"IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"110","DOI":"10.1109\/MSP.2014.2312203","article-title":"Multipath exploitation and suppression for SAR imaging of building interiors: An overview of recent advances","volume":"31","author":"Leigsnering","year":"2014","journal-title":"IEEE Signal Process. Mag."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"4687","DOI":"10.1109\/TGRS.2015.2406793","article-title":"The characteristics of the multipath scattering and the application for geometry extraction in high-resolution SAR images","volume":"53","author":"Zhang","year":"2015","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"1226","DOI":"10.1109\/LGRS.2016.2577715","article-title":"Comparative analysis of two approaches for multipath ghost suppression in radar imaging","volume":"13","author":"Gennarelli","year":"2016","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1109\/JSTARS.2008.2001155","article-title":"Model-based interpretation of high-resolution SAR images of buildings","volume":"1","author":"Guida","year":"2008","journal-title":"IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"2967","DOI":"10.1109\/TGRS.2010.2041460","article-title":"Height retrieval of isolated buildings from single high-resolution SAR images","volume":"48","author":"Guida","year":"2010","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_25","unstructured":"Krieger, G., Rommel, T., and Moreira, A. (2016, January 6\u20139). MIMO-SAR Tomography. Proceedings of the EUSAR 2016: 11th European Conference on Synthetic Aperture Radar. VDE, Hamburg, Germany."},{"key":"ref_26","unstructured":"Rommel, T., and Krieger, G. (2016, January 6\u20139). Detection of multipath propagation effects in SAR-tomography with MIMO modes. Proceedings of the EUSAR 2016: 11th European Conference on Synthetic Aperture Radar. VDE, Hamburg, Germany."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"446","DOI":"10.1109\/LGRS.2019.2926301","article-title":"Building Corner Reflection in MIMO SAR Tomography and Compressive Sensing-Based Corner Reflection Suppression","volume":"17","author":"Zhang","year":"2019","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"379","DOI":"10.3724\/SP.J.1010.2012.00379","article-title":"The multi-path scattering characteristics and the geometry extraction of cylinder tanks in SAR image","volume":"31","author":"Zhang","year":"2012","journal-title":"J. Infrared Millim. Waves"},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"342","DOI":"10.1109\/TGRS.2018.2854660","article-title":"Multipath scattering of typical structures in urban areas","volume":"57","author":"Cheng","year":"2018","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"124341","DOI":"10.1109\/ACCESS.2019.2937560","article-title":"Multiple-bounce scattering of Tomo-SAR in single-pass mode for building reconstructions","volume":"7","author":"Cheng","year":"2019","journal-title":"IEEE Access"},{"key":"ref_31","unstructured":"Zhang, F. (2015). Research on Signal Processing of 3-D Reconstruction in Linear Array Synthetic Aperture Radar Interferometry. [Ph.D. Thesis, University of Chinese Academy of Sciences]."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1109\/TGRS.2011.2160183","article-title":"Super-resolution power and robustness of compressive sensing for spectral estimation with application to spaceborne tomographic SAR","volume":"50","author":"Zhu","year":"2011","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"641","DOI":"10.1109\/34.295913","article-title":"Seeded region growing","volume":"16","author":"Adams","year":"1994","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"41","DOI":"10.1109\/MSP.2014.2312073","article-title":"Tomographic processing of interferometric SAR data: Developments, applications, and future research perspectives","volume":"31","author":"Fornaro","year":"2014","journal-title":"IEEE Signal Process. Mag."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"488","DOI":"10.1109\/TGRS.2010.2054099","article-title":"Three-dimensional SAR focusing from multipass signals using compressive sampling","volume":"49","author":"Budillon","year":"2010","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_36","unstructured":"Auer, S.J. (2011). 3D Synthetic Aperture Radar Simulation for Interpreting Complex Urban Reflection Scenarios. [Ph.D. Thesis, Technische Universit\u00e4t M\u00fcnchen]."},{"key":"ref_37","doi-asserted-by":"crossref","unstructured":"Auer, S., Bamler, R., and Reinartz, P. (2016, January 10\u201315). RaySAR-3D SAR simulator: Now open source. Proceedings of the 2016 IEEE International Geoscience and Remote Sensing Symposium (IGARSS), Beijing, China.","DOI":"10.1109\/IGARSS.2016.7730757"}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/14\/8\/1937\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T22:55:38Z","timestamp":1760136938000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/14\/8\/1937"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,4,17]]},"references-count":37,"journal-issue":{"issue":"8","published-online":{"date-parts":[[2022,4]]}},"alternative-id":["rs14081937"],"URL":"https:\/\/doi.org\/10.3390\/rs14081937","relation":{},"ISSN":["2072-4292"],"issn-type":[{"value":"2072-4292","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,4,17]]}}}