{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,23]],"date-time":"2026-03-23T19:00:37Z","timestamp":1774292437388,"version":"3.50.1"},"reference-count":49,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2016,11,25]],"date-time":"2016-11-25T00:00:00Z","timestamp":1480032000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100003329","name":"Ministerio de Econom\u00eda y Competitividad","doi-asserted-by":"publisher","award":["TEC2011-28201-C02-02"],"award-info":[{"award-number":["TEC2011-28201-C02-02"]}],"id":[{"id":"10.13039\/501100003329","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003329","name":"Ministerio de Econom\u00eda y Competitividad","doi-asserted-by":"publisher","award":["TIN2014-55413-C2-2-P"],"award-info":[{"award-number":["TIN2014-55413-C2-2-P"]}],"id":[{"id":"10.13039\/501100003329","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004543","name":"China Scholarship Council","doi-asserted-by":"publisher","award":["201406370079"],"award-info":[{"award-number":["201406370079"]}],"id":[{"id":"10.13039\/501100004543","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>In this paper, we analyze the robustness of the parameter inversion provided by general polarimetric model-based decomposition methods from the perspective of a quantitative application. The general model and algorithm we have studied is the method proposed recently by Chen et al., which makes use of the complete polarimetric information and outperforms traditional decomposition methods in terms of feature extraction from land covers. Nevertheless, a quantitative analysis on the retrieved parameters from that approach suggests that further investigations are required in order to fully confirm the links between a physically-based model (i.e., approaches derived from the Freeman\u2013Durden concept) and its outputs as intermediate products before any biophysical parameter retrieval is addressed. To this aim, we propose some modifications on the optimization algorithm employed for model inversion, including redefined boundary conditions, transformation of variables, and a different strategy for values initialization. A number of Monte Carlo simulation tests for typical scenarios are carried out and show that the parameter estimation accuracy of the proposed method is significantly increased with respect to the original implementation. Fully polarimetric airborne datasets at L-band acquired by German Aerospace Center\u2019s (DLR\u2019s) experimental synthetic aperture radar (E-SAR) system were also used for testing purposes. The results show different qualitative descriptions of the same cover from six different model-based methods. According to the Bragg coefficient ratio (i.e.,    \u03b2   ), they are prone to provide wrong numerical inversion results, which could prevent any subsequent quantitative characterization of specific areas in the scene. Besides the particular improvements proposed over an existing polarimetric inversion method, this paper is aimed at pointing out the necessity of checking quantitatively the accuracy of model-based PolSAR techniques for a reliable physical description of land covers beyond their proven utility for qualitative features extraction.<\/jats:p>","DOI":"10.3390\/rs8120977","type":"journal-article","created":{"date-parts":[[2016,11,25]],"date-time":"2016-11-25T08:18:15Z","timestamp":1480061895000},"page":"977","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":24,"title":["Quantitative Analysis of Polarimetric Model-Based Decomposition Methods"],"prefix":"10.3390","volume":"8","author":[{"given":"Qinghua","family":"Xie","sequence":"first","affiliation":[{"name":"School of Geosciences and Info-Physics, Central South University, Changsha 410083, China"},{"name":"Institute for Computing Research (IUII), University of Alicante, Alicante E-03080, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J.","family":"Ballester-Berman","sequence":"additional","affiliation":[{"name":"Institute for Computing Research (IUII), University of Alicante, Alicante E-03080, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4216-5175","authenticated-orcid":false,"given":"Juan","family":"Lopez-Sanchez","sequence":"additional","affiliation":[{"name":"Institute for Computing Research (IUII), University of Alicante, Alicante E-03080, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jianjun","family":"Zhu","sequence":"additional","affiliation":[{"name":"School of Geosciences and Info-Physics, Central South University, Changsha 410083, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4461-068X","authenticated-orcid":false,"given":"Changcheng","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Geosciences and Info-Physics, Central South University, Changsha 410083, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2016,11,25]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"498","DOI":"10.1109\/36.485127","article-title":"A review of target decomposition theorems in radar polarimetry","volume":"34","author":"Cloude","year":"1996","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1109\/MSP.2014.2312099","article-title":"Modeling and interpretation of scattering mechanisms in polarimetric synthetic aperture radar: Advances and perspectives","volume":"31","author":"Chen","year":"2014","journal-title":"IEEE Signal Process. Mag."},{"key":"ref_3","unstructured":"Lee, J.S., and Pottier, E. (2009). Polarimetric Radar Imaging: From Basics to Applications, CRC Press."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"963","DOI":"10.1109\/36.673687","article-title":"A three-component scattering model for polarimetric SAR data","volume":"36","author":"Freeman","year":"1998","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1699","DOI":"10.1109\/TGRS.2005.852084","article-title":"Four-component scattering model for polarimetric SAR image decomposition","volume":"43","author":"Yamaguchi","year":"2005","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"292","DOI":"10.1109\/LGRS.2006.869986","article-title":"A four-component decomposition of PolSAR images based on the coherency matrix","volume":"3","author":"Yamaguchi","year":"2006","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"1667","DOI":"10.1109\/TGRS.2008.916326","article-title":"POLSAR image analysis of wetlands using a modified four-component scattering power decomposition","volume":"46","author":"Yajima","year":"2008","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"466","DOI":"10.1109\/TGRS.2009.2024304","article-title":"Applying the Freeman-Durden decomposition concept to polarimetric SAR interferometry","volume":"48","year":"2010","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"2732","DOI":"10.1109\/TGRS.2010.2041242","article-title":"Three-component model-based decomposition for polarimetric SAR data","volume":"48","author":"An","year":"2010","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"1090","DOI":"10.1109\/LGRS.2011.2157078","article-title":"Four-component decomposition of polarimetric SAR images with deorientation","volume":"8","author":"An","year":"2011","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1104","DOI":"10.1109\/TGRS.2010.2076285","article-title":"Adaptive model-based decomposition of polarimetric SAR covariance matrices","volume":"49","author":"Arii","year":"2011","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"3838","DOI":"10.1109\/TGRS.2011.2138146","article-title":"Volume scattering modeling in PolSAR decompositions: Study of ALOS PALSAR data over boreal forest","volume":"49","author":"Antropov","year":"2011","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"30","DOI":"10.1109\/36.981347","article-title":"On the estimation of radar polarization orientation shifts induced by terrain slopes","volume":"40","author":"Lee","year":"2002","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1109\/TGRS.2010.2048333","article-title":"The effect of orientation angle compensation on coherency matrix and polarimetric target decompositions","volume":"49","author":"Lee","year":"2011","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"2251","DOI":"10.1109\/TGRS.2010.2099124","article-title":"Four-component scattering power decomposition with rotation of coherency matrix","volume":"49","author":"Yamaguchi","year":"2011","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"3452","DOI":"10.1109\/TGRS.2010.2076285","article-title":"Model-based decomposition of polarimetric SAR covariance matrices constrained for nonnegative eigenvalues","volume":"49","author":"Arii","year":"2011","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"1559","DOI":"10.3390\/rs4061559","article-title":"Three-component power decomposition for polarimetric SAR data based on adaptive volume scatter modeling","volume":"4","author":"Cui","year":"2012","journal-title":"Remote Sens."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"166","DOI":"10.1109\/LGRS.2011.2162935","article-title":"Four-component scattering power decomposition with extended volume scattering model","volume":"9","author":"Sato","year":"2012","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"989","DOI":"10.1109\/LGRS.2012.2188092","article-title":"Four-component model-based decomposition of polarimetric SAR data for special ground objects","volume":"9","author":"Shan","year":"2012","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"273","DOI":"10.1109\/LGRS.2012.2203577","article-title":"Deorientation effect investigation for model-based decomposition over oriented built-up areas","volume":"10","author":"Chen","year":"2013","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"3014","DOI":"10.1109\/TGRS.2012.2212446","article-title":"General four-component scattering power decomposition with unitary transformation of coherency matrix","volume":"51","author":"Singh","year":"2013","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"1843","DOI":"10.1109\/TGRS.2013.2255615","article-title":"General Polarimetric model-based decomposition for coherency matrix","volume":"52","author":"Chen","year":"2014","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"1991","DOI":"10.1109\/TGRS.2013.2257603","article-title":"On complete model-based decomposition of polarimetric SAR coherency matrix data","volume":"52","author":"Cui","year":"2014","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"2474","DOI":"10.1109\/TGRS.2013.2262051","article-title":"Generalized Polarimetric model-based decompositions using incoherent scattering models","volume":"52","author":"Lee","year":"2014","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"2110","DOI":"10.1109\/LGRS.2015.2451369","article-title":"An adaptive general four-component scattering power decomposition with unitary transformation of coherency matrix (AG4U)","volume":"12","author":"Bhattacharya","year":"2015","journal-title":"IEEE Geosci. Remote Sens. Lett."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"1051","DOI":"10.1109\/JSTARS.2014.2380151","article-title":"A four-component decomposition model for PolSAR data using asymmetric scattering component","volume":"8","author":"Zou","year":"2015","journal-title":"IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"68","DOI":"10.1109\/36.551935","article-title":"An entropy based classification scheme for land applications of polarimetric SAR","volume":"35","author":"Cloude","year":"1997","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"2249","DOI":"10.1109\/36.789621","article-title":"Unsupervised classification using polarimetric decomposition and the complex Wishart classifier","volume":"37","author":"Lee","year":"1999","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"2332","DOI":"10.1109\/36.964969","article-title":"Unsupervised classification of multifrequency and fully polarimetric SAR images based on the H\/A\/Alpha-Wishart classifier","volume":"39","author":"Pottier","year":"2001","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_30","first-page":"169","article-title":"Fusion of PolSAR and PolInSAR data for land cover classification","volume":"11","author":"Shimoni","year":"2009","journal-title":"Int. J. Appl. Earth Obs. Geoinf."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1016\/j.rse.2011.11.001","article-title":"A novel algorithm for land use and land cover classification using RADARSAT-2 polarimetric SAR data","volume":"118","author":"Qi","year":"2012","journal-title":"Remote Sens. Environ."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"5256","DOI":"10.1109\/TGRS.2013.2287712","article-title":"Land cover and soil type mapping from spaceborne PolSAR data at L-band with probabilistic neural network","volume":"52","author":"Antropov","year":"2014","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"25072","DOI":"10.3390\/s151025072","article-title":"A novel fusion-based ship detection method from Pol-SAR images","volume":"15","author":"Wang","year":"2015","journal-title":"Sensors"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"47","DOI":"10.1109\/JSTARS.2014.2356552","article-title":"A polarimetric decomposition method for ice in the Bohai Sea using C-band PolSAR data","volume":"8","author":"Zhang","year":"2015","journal-title":"IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens."},{"key":"ref_35","doi-asserted-by":"crossref","unstructured":"Xiang, D., Tang, T., Hu, C., Fan, Q., and Su, Y. (2016). Built-up area extraction from PolSAR imagery with model-based decomposition and polarimetric coherence. Remote Sens., 8.","DOI":"10.3390\/rs8080685"},{"key":"ref_36","doi-asserted-by":"crossref","first-page":"86","DOI":"10.1016\/j.isprsjprs.2016.03.009","article-title":"Unsupervised polarimetric SAR urban area classification based on model-based decomposition with cross scattering","volume":"116","author":"Xiang","year":"2016","journal-title":"ISPRS J. Photogramm. Remote Sens."},{"key":"ref_37","doi-asserted-by":"crossref","first-page":"3911","DOI":"10.1109\/JSTARS.2014.2371468","article-title":"An iterative generalized hybrid decomposition for soil moisture retrieval under vegetation cover using fully polarimetric SAR","volume":"8","author":"Jagdhuber","year":"2015","journal-title":"IEEE J. Sel. Top. Appl. Earth Obs. Remote Sens."},{"key":"ref_38","doi-asserted-by":"crossref","first-page":"2510","DOI":"10.1109\/TGRS.2015.2502600","article-title":"An integrated surface parameter inversion scheme over agricultural fields at early growing stages by means of C-band polarimetric RADARSAT-2 imagery","volume":"54","author":"Huang","year":"2016","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"2470","DOI":"10.1109\/TGRS.2015.2502425","article-title":"Polarimetric two-scale two-component model for the retrieval of soil moisture under moderate vegetation via L-band SAR data","volume":"54","author":"Iodice","year":"2016","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_40","doi-asserted-by":"crossref","first-page":"4445","DOI":"10.1109\/TGRS.2016.2542214","article-title":"Soil moisture retrieval in agricultural fields using adaptive model-based polarimetric decomposition of SAR data","volume":"54","author":"He","year":"2016","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_41","doi-asserted-by":"crossref","first-page":"727","DOI":"10.1109\/TGRS.2003.810702","article-title":"Inversion of surface parameters from polarimetric SAR","volume":"41","author":"Hajnsek","year":"2003","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_42","doi-asserted-by":"crossref","first-page":"442","DOI":"10.1109\/TGRS.2008.2009642","article-title":"Potential of estimating soil moisture under vegetation cover by means of PolSAR","volume":"47","author":"Hajnsek","year":"2009","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1007\/BF01582221","article-title":"On the convergence of reflective newton methods for large-scale nonlinear minimization subject to bounds","volume":"67","author":"Coleman","year":"1994","journal-title":"Math. Program."},{"key":"ref_44","doi-asserted-by":"crossref","first-page":"418","DOI":"10.1137\/0806023","article-title":"An interior, trust region approach for nonlinear minimization subject to bounds","volume":"6","author":"Coleman","year":"1996","journal-title":"SIAM J. Optim."},{"key":"ref_45","doi-asserted-by":"crossref","first-page":"406","DOI":"10.1109\/TGRS.1984.350644","article-title":"Microwave dielectric properties of plant materials","volume":"4","author":"Ulaby","year":"1984","journal-title":"IEEE Trans. Geosci. Remote Sens."},{"key":"ref_46","unstructured":"Orfanidis, S.J. (2016). Electromagnetic Waves and Antennas, Rutgers University."},{"key":"ref_47","doi-asserted-by":"crossref","first-page":"110","DOI":"10.1007\/BF01589336","article-title":"Elimination of bounds in optimization problems by transforming variables","volume":"20","author":"Sisser","year":"1981","journal-title":"Math. Program."},{"key":"ref_48","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1016\/0307-904X(81)90002-0","article-title":"Aspects of mathematical modelling related to optimization","volume":"5","author":"Gill","year":"1981","journal-title":"Appl. Math. Model."},{"key":"ref_49","unstructured":"European Space Agency (2008). AGRISAR 2006 Agricultural Bio-\/Geophysical Retrievals from Frequent Repeat SAR and Optical Imaging Final Report, DLR. Available online: https:\/\/earth.esa.int\/c\/document_library\/get_file?folderId=21020&name=DLFE-397.pdf."}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/8\/12\/977\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T19:27:29Z","timestamp":1760210849000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/8\/12\/977"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,11,25]]},"references-count":49,"journal-issue":{"issue":"12","published-online":{"date-parts":[[2016,12]]}},"alternative-id":["rs8120977"],"URL":"https:\/\/doi.org\/10.3390\/rs8120977","relation":{},"ISSN":["2072-4292"],"issn-type":[{"value":"2072-4292","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,11,25]]}}}