{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,28]],"date-time":"2025-09-28T06:46:53Z","timestamp":1759042013819},"reference-count":25,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2012,12,29]],"date-time":"2012-12-29T00:00:00Z","timestamp":1356739200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIViP"],"published-print":{"date-parts":[[2014,1]]},"DOI":"10.1007\/s11760-012-0420-3","type":"journal-article","created":{"date-parts":[[2012,12,28]],"date-time":"2012-12-28T10:40:35Z","timestamp":1356691235000},"page":"39-47","source":"Crossref","is-referenced-by-count":19,"title":["Image decomposition using adaptive second-order total generalized variation"],"prefix":"10.1007","volume":"8","author":[{"given":"Jianlou","family":"Xu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiangchu","family":"Feng","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yan","family":"Hao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yu","family":"Han","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2012,12,29]]},"reference":[{"key":"420_CR1","doi-asserted-by":"crossref","unstructured":"Meyer, Y.: Oscillating patterns in image processing and nonlinear evolution equations. University Lecture Series, American Mathematical Society, Boston (2001)","DOI":"10.1090\/ulect\/022"},{"key":"420_CR2","unstructured":"Rudin, L., Osher, S., Fatemi, E.: Nonlinear total variation based noise removal algorithms. Physica. D 60, 259\u2013268 (1992)"},{"key":"420_CR3","doi-asserted-by":"crossref","unstructured":"Vese, L., Osher, S.: Modeling textures with total variation minimization and oscillating patterns in image processing. J. Math. Imaging Vis. 20, 7\u201318 (2004)","DOI":"10.1023\/B:JMIV.0000011316.54027.6a"},{"issue":"3","key":"420_CR4","doi-asserted-by":"crossref","first-page":"349","DOI":"10.1137\/S1540345902416247","volume":"1","author":"S Osher","year":"2003","unstructured":"Osher, S., Sole, A., Vese, L.: Image decomposition and restoration using total variation minimization and the $$\\text{ H}^{-1}$$ norm. Multiscale Model. Simul. 1(3), 349\u2013370 (2003)","journal-title":"Multiscale Model. Simul."},{"issue":"2","key":"420_CR5","first-page":"254","volume":"20","author":"L Jiang","year":"2009","unstructured":"Jiang, L., Yin, H., Feng, X.: Adaptive variational models for image decomposition combining staircase reduction and texture extraction. J. Syst. Eng. Electron. 20(2), 254\u2013259 (2009)","journal-title":"J. Syst. Eng. Electron."},{"issue":"6","key":"420_CR6","doi-asserted-by":"crossref","first-page":"464","DOI":"10.1016\/j.jvcir.2006.12.004","volume":"18","author":"TF Chan","year":"2007","unstructured":"Chan, T.F., Esedoglu, S.F., Parky, E.: Image decomposition combining staircase reduction and texture extraction. J. Vis. Commun. Image Represent. 18(6), 464\u2013486 (2007)","journal-title":"J. Vis. Commun. Image Represent."},{"issue":"1","key":"420_CR7","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1007\/s11263-005-4948-3","volume":"63","author":"JF Aujol","year":"2005","unstructured":"Aujol, J.F., Chambolle, A.: Dual norms and image decomposition models. Intl. J. Comp. Vis. 63(1), 85\u2013104 (2005)","journal-title":"Intl. J. Comp. Vis."},{"issue":"3","key":"420_CR8","doi-asserted-by":"crossref","first-page":"232","DOI":"10.1007\/s10851-010-0203-9","volume":"37","author":"V Duval","year":"2010","unstructured":"Duval, V., Aujol, J.F., Vese, L.: Mathematical modeling of textures: Application to color image decomposition with a projected gradient algorithm. J. Math. Imaging Vis. 37(3), 232\u2013248 (2010)","journal-title":"J. Math. Imaging Vis."},{"issue":"1","key":"420_CR9","first-page":"102","volume":"21","author":"J Bai","year":"2012","unstructured":"Bai, J., Feng, X.: Image denoising and decomposition using non-convex functional. Chinese J. Electron. 21(1), 102\u2013106 (2012)","journal-title":"Chinese J. Electron."},{"issue":"4","key":"420_CR10","first-page":"1287","volume":"22","author":"L Jiang","year":"2007","unstructured":"Jiang, L., Feng, X., Yin, H.: Image decomposition using optimally sparse representations and a variational approach. Signal, Image and Video Processing 22(4), 1287\u20131292 (2007)","journal-title":"Signal, Image and Video Processing"},{"issue":"10","key":"420_CR11","doi-asserted-by":"crossref","first-page":"1570","DOI":"10.1109\/TIP.2005.852206","volume":"14","author":"J Starck","year":"2005","unstructured":"Starck, J., Elad, M., Donoho, D.: Image decomposition via the combination of sparse representations and a variational approach. IEEE Trans. Image Process. 14(10), 1570\u20131582 (2005)","journal-title":"IEEE Trans. Image Process."},{"issue":"3","key":"420_CR12","doi-asserted-by":"crossref","first-page":"492","DOI":"10.1137\/090769521","volume":"3","author":"K Bredies","year":"2010","unstructured":"Bredies, K., Kunisch, K., Pock, T.: Total generalized variation. SIAM J. Imaging Sci. 3(3), 492\u2013526 (2010)","journal-title":"SIAM J. Imaging Sci."},{"key":"420_CR13","unstructured":"Bredies, K., Valkonen, T.: Inverse problems with second-order total generalized variation constraints. In: Proceedings of SampTA 2011\u20139th International Conference on Sampling Theory and Applications, Singapore, pp. 1\u20134 (2011)"},{"key":"420_CR14","doi-asserted-by":"crossref","unstructured":"Bredies, K., Dong, Y., Hinterm\u00fcller M.: Spatially dependent regularization parameter selection in total generalized variation models for image restoration. International Journal of Computer Mathematics, pp. 1\u201315 (2012), online, doi: 10.1080\/00207160.2012.700400","DOI":"10.1080\/00207160.2012.700400"},{"issue":"2","key":"420_CR15","doi-asserted-by":"crossref","first-page":"480","DOI":"10.1002\/mrm.22595","volume":"65","author":"F Knoll","year":"2011","unstructured":"Knoll, F., Bredies, K., Pock, T., Stollberger, R.: Second order total generalized variation (TGV) for MRI. Magn. Res. Med. 65(2), 480\u2013491 (2011)","journal-title":"Magn. Res. Med."},{"key":"420_CR16","doi-asserted-by":"crossref","unstructured":"Dong, F., Liu, Z., Kong, D., Liu, K.: An improved LOT model for image restoration. J. Math. Imaging Vis. 34(1), 89\u201397 (2009)","DOI":"10.1007\/s10851-008-0132-z"},{"issue":"2","key":"420_CR17","doi-asserted-by":"crossref","first-page":"323","DOI":"10.1137\/080725891","volume":"2","author":"T Goldstein","year":"2009","unstructured":"Goldstein, T., Osher, S.: The split Bregman method for L1 regularized problems. SIAM J. Imaging Sci. 2(2), 323\u2013343 (2009)","journal-title":"SIAM J. Imaging Sci."},{"issue":"4","key":"420_CR18","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1016\/j.patcog.2011.05.002","volume":"3","author":"Y Han","year":"2012","unstructured":"Han, Y., Wang, W., Feng, X.: A new fast multiphase image segmentation algorithm based on nonconvex regularizer. Pattern Recongnit. 3(4), 363\u2013372 (2012)","journal-title":"Pattern Recongnit."},{"key":"420_CR19","doi-asserted-by":"crossref","unstructured":"Goldstein, T., Bresson, X., Osher, S.: Geometric applications of the split Bregman method: Segmentation and surface reconstruction. J. Sci. Comput. 45(1\u20133), 272\u2013293 (2010)","DOI":"10.1007\/s10915-009-9331-z"},{"key":"420_CR20","doi-asserted-by":"crossref","unstructured":"Afonso, M., Bioucas-Dias, J., Figueiredo, M.: An augmented lagrangian approach to the constrained optimization formulation of imaging inverse problems. IEEE Trans. Image Process. 20(3), 681\u2013695 (2011)","DOI":"10.1109\/TIP.2010.2076294"},{"issue":"3","key":"420_CR21","doi-asserted-by":"crossref","first-page":"300","DOI":"10.1137\/090767558","volume":"3","author":"C Wu","year":"2010","unstructured":"Wu, C., Tai, X.C.: Augmented Lagrangian method, dual methods and split-Bregman iterations for ROF, vectorial TV and higher order models. SIAM J. Imaging Sci. 3(3), 300\u2013339 (2010)","journal-title":"SIAM J. Imaging Sci."},{"issue":"3","key":"420_CR22","doi-asserted-by":"crossref","first-page":"265","DOI":"10.1007\/s11263-010-0357-3","volume":"92","author":"S Setzer","year":"2011","unstructured":"Setzer, S.: Operator splittings, Bregman methods and frame shrinkage in image processing. Int. J. Comput. Vision 92(3), 265\u2013280 (2011)","journal-title":"Int. J. Comput. Vision"},{"issue":"1","key":"420_CR23","doi-asserted-by":"crossref","first-page":"120","DOI":"10.1007\/s10851-010-0251-1","volume":"40","author":"A Chambolle","year":"2011","unstructured":"Chambolle, A., Pock, T.: A first-order primal-dual algorithm for convex problems with applications to imaging. J. Math. Imaging Vis. 40(1), 120\u2013145 (2011)","journal-title":"J. Math. Imaging Vis."},{"issue":"6","key":"420_CR24","doi-asserted-by":"crossref","first-page":"1536","DOI":"10.1016\/j.sigpro.2011.12.015","volume":"92","author":"Y Hao","year":"2012","unstructured":"Hao, Y., Feng, X.C., Xu, J.L.: Multiplicative noise removal via sparse and redundant representations over learned dictionaries and total variation. Signal Process. 92(6), 1536\u20131549 (2012)","journal-title":"Signal Process."},{"issue":"4","key":"420_CR25","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1109\/TIP.2003.819861","volume":"13","author":"Z Wang","year":"2004","unstructured":"Wang, Z., Bovik, A., Sheikh, H., Simoncelli, E.: Image quality assessment: From error visibility to structural similarity. IEEE Trans. Image Process. 13(4), 1\u201314 (2004)","journal-title":"IEEE Trans. Image Process."}],"container-title":["Signal, Image and Video Processing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11760-012-0420-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11760-012-0420-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11760-012-0420-3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,7,7]],"date-time":"2019-07-07T17:24:50Z","timestamp":1562520290000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11760-012-0420-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,12,29]]},"references-count":25,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2014,1]]}},"alternative-id":["420"],"URL":"https:\/\/doi.org\/10.1007\/s11760-012-0420-3","relation":{},"ISSN":["1863-1703","1863-1711"],"issn-type":[{"value":"1863-1703","type":"print"},{"value":"1863-1711","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,12,29]]}}}