{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:11:04Z","timestamp":1760242264940,"version":"build-2065373602"},"reference-count":27,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2017,2,14]],"date-time":"2017-02-14T00:00:00Z","timestamp":1487030400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61671035","61501012","61501011"],"award-info":[{"award-number":["61671035","61501012","61501011"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Three-dimensional (3D) imaging of space targets can provide crucial information about the target shape and size, which are significant supports for the application of automatic target classification and recognition. In this paper, a new 3D imaging of space spinning targets via a factorization method is proposed. Firstly, after the translational compensation, the scattering centers two-dimensional (2D) range and range-rate sequence induced by the target spinning is extracted using a high resolution spectral estimation technique. Secondly, measurement data association is implemented to obtain the scattering center trajectory matrix by using a range-Doppler tracker. Then, we use an initial coarse angular velocity to generate the projection matrix, which consists of the scattering centers range and cross-range, and a factorization method is applied iteratively to the projection matrix to estimate the accurate angular velocity. Finally, we use the accurate estimate spinning angular velocity to rescale the projection matrix and the well-scaled target 3D geometry is reconstructed. Compared to the previous literature methods, ambiguity in the spatial axes can be removed by this method. Simulation results have demonstrated the effectiveness and robustness of the proposed method.<\/jats:p>","DOI":"10.3390\/s17020366","type":"journal-article","created":{"date-parts":[[2017,2,15]],"date-time":"2017-02-15T10:09:07Z","timestamp":1487153347000},"page":"366","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["3D Imaging of Rapidly Spinning Space Targets Based on a Factorization Method"],"prefix":"10.3390","volume":"17","author":[{"given":"Yanxian","family":"Bi","sequence":"first","affiliation":[{"name":"School of Electronic and Information Engineering, Beihang University, Beijing 100191, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2729-1106","authenticated-orcid":false,"given":"Shaoming","family":"Wei","sequence":"additional","affiliation":[{"name":"School of Electronic and Information Engineering, Beihang University, Beijing 100191, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jun","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Electronic and Information Engineering, Beihang University, Beijing 100191, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shiyi","family":"Mao","sequence":"additional","affiliation":[{"name":"School of Electronic and Information Engineering, Beihang University, Beijing 100191, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2017,2,14]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"3428","DOI":"10.1109\/JSTARS.2015.2431119","article-title":"High-resolution three-dimensional imaging of space targets in micromotion","volume":"8","author":"Xue","year":"2015","journal-title":"IEEE J. Sel. Top. Appl. Earth Observ. Remote Sens."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"411","DOI":"10.1049\/iet-rsn.2014.0260","article-title":"Three-dimensional inverse synthetic aperture radar imaging based on compressive sensing","volume":"9","author":"Wei","year":"2015","journal-title":"IET Radar Sonar Navig."},{"key":"ref_3","first-page":"1680","article-title":"High-resolution 3D imaging of procession cone-shaped targets","volume":"3","author":"Bai","year":"2014","journal-title":"IEEE Trans. Antennas Propag."},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Zhou, X.P., Wei, G.H., Wu, S.L., and Wang, D.W. (2016). Three-dimensional ISAR imaging method for high-speed targets in short-range using impulse radar based on SIMO array. Sensors, 16.","DOI":"10.3390\/s16030364"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1740","DOI":"10.1109\/TIP.2016.2526905","article-title":"Joint cross-range scaling and 3D geometry reconstruction of ISAR targets based on factorization method","volume":"25","author":"Lei","year":"2016","journal-title":"IEEE Trans. Image Process."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"1094","DOI":"10.1109\/83.931103","article-title":"Three-dimensional interferometric ISAR imaging for target scattering diagnosis and modelling","volume":"10","author":"Xu","year":"2001","journal-title":"IEEE Trans. Image Process."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"2361","DOI":"10.1109\/TGRS.2010.2095423","article-title":"Three-dimensional target geometry and target motion estimation method using multistatic ISAR movies and its performance","volume":"49","author":"Suwa","year":"2011","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"3102","DOI":"10.1109\/TAES.2014.130210","article-title":"3D interferometric ISAR imaging of noncooperative targets","volume":"50","author":"Martorella","year":"2014","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"692","DOI":"10.1049\/iet-rsn.2014.0275","article-title":"Three-dimensional interferometric inverse synthetic aperture radar imaging with limited pulses by exploiting joint sparsity","volume":"9","author":"Qian","year":"2015","journal-title":"IET Radar Sonar Navig."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"22401","DOI":"10.3390\/s150922401","article-title":"ISAR imaging of maneuvering targets based on the modified discrete polynomial-phase transform","volume":"15","author":"Wang","year":"2015","journal-title":"Sensors"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"485","DOI":"10.1117\/12.357665","article-title":"Three-dimensional analysis of moving target radar signals: Methods and implications for ATR and feature-aided tracking","volume":"3721","author":"Stuff","year":"1999","journal-title":"Proc. SPIE"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"161","DOI":"10.1023\/A:1022229326812","article-title":"Extraction of three-dimensional motion and geometric invariants from range dependent signals","volume":"14","author":"Stuff","year":"2003","journal-title":"Multidimen. Syst. Sig. Process."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"1906","DOI":"10.1109\/TPAMI.2008.294","article-title":"Shape and Motion Reconstruction from 3D-to-1D Orthographically Projected Data via Object-Image Relations","volume":"31","author":"Ferrara","year":"2009","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"1023","DOI":"10.1049\/iet-cta:20060034","article-title":"Modelling 3D rigid-body object motion and structure estimation with HRR\/GMTI measurements","volume":"4","author":"Wu","year":"2007","journal-title":"IET Control Theory Appl."},{"key":"ref_15","unstructured":"Zhou, J.X., Zhao, H.Z., and Shi, Z.G. (2006, January 14\u201319). Performance analysis of 1D scattering center extraction from wideband radar measurements. Proceedings of the IEEE International Conference on Acoustics Speech and Signal Processing Proceedings, Toulouse, France."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"22","DOI":"10.1109\/TGRS.2007.909086","article-title":"High-resolution three-dimensional radar imaging for rapidly spinning targets","volume":"46","author":"Wang","year":"2008","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"630","DOI":"10.1109\/7.937474","article-title":"High resolution 3D \u201cSnapshot\u201d ISAR imaging and feature extraction","volume":"2","author":"Mayhan","year":"2001","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1007\/BF00129684","article-title":"Shape and motion from image streams under orthography: A factorization method","volume":"9","author":"Tomasi","year":"1992","journal-title":"Int. J. Comput. Vis."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"858","DOI":"10.1109\/34.608289","article-title":"A sequential factorization method for recovering shape and motion from image streams","volume":"19","author":"Morita","year":"1997","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"58","DOI":"10.1117\/12.488289","article-title":"Three-dimensional reconstruction from ISAR sequences","volume":"4744","author":"McFadden","year":"2002","journal-title":"Proc. SPIE"},{"key":"ref_21","first-page":"891","article-title":"Three-dimensional reconstruction using ISAR sequences","volume":"8919","author":"Li","year":"2013","journal-title":"Proc. SPIE"},{"key":"ref_22","first-page":"1680","article-title":"Two-dimensional ESPRIT with tracking for radar imaging and feature extraction","volume":"52","author":"Michael","year":"2004","journal-title":"IEEE Trans. Antennas Propag."},{"key":"ref_23","unstructured":"Blackman, S., and Popoli, R. (1999). Design and Analysis of Modern Tracking Systems, Artech House."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"2","DOI":"10.1109\/TAES.2006.1603402","article-title":"Micro-doppler effect in radar phenomenon, model and simulation study","volume":"42","author":"Chen","year":"2006","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"58","DOI":"10.1049\/ip-rsn:20045084","article-title":"High resolution ISAR imaging of high speed moving targets","volume":"152","author":"Xing","year":"2005","journal-title":"IET Radar Sonar Navig."},{"key":"ref_26","unstructured":"Diebel, J. Representing Attitude: Euler Angles, Unit Quaternions, and Rotation Vectors. Available online: https:\/\/www.astro.rug.nl\/software\/kapteyn\/_downloads\/attitude.pdf."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"2369","DOI":"10.1109\/TGRS.2013.2260342","article-title":"High-resolution radar imaging of space targets based on HRRP series","volume":"52","author":"Bai","year":"2014","journal-title":"IEEE Trans. Geosci. Remote Sens."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/17\/2\/366\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T18:28:14Z","timestamp":1760207294000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/17\/2\/366"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,2,14]]},"references-count":27,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2017,2]]}},"alternative-id":["s17020366"],"URL":"https:\/\/doi.org\/10.3390\/s17020366","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2017,2,14]]}}}