{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,16]],"date-time":"2026-06-16T05:25:08Z","timestamp":1781587508546,"version":"3.54.5"},"reference-count":77,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2022,2,7]],"date-time":"2022-02-07T00:00:00Z","timestamp":1644192000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2022,2,7]],"date-time":"2022-02-07T00:00:00Z","timestamp":1644192000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"name":"The Youth Science and Technology Foundation of Gansu","award":["20JR5RA050"],"award-info":[{"award-number":["20JR5RA050"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Vis Comput"],"published-print":{"date-parts":[[2023,3]]},"DOI":"10.1007\/s00371-021-02392-z","type":"journal-article","created":{"date-parts":[[2022,2,7]],"date-time":"2022-02-07T21:04:21Z","timestamp":1644267861000},"page":"1121-1136","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":9,"title":["Structure\u2013texture image decomposition via non-convex total generalized variation and convolutional sparse coding"],"prefix":"10.1007","volume":"39","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6828-3487","authenticated-orcid":false,"given":"Chunxue","family":"Wang","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Linlin","family":"Xu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ligang","family":"Liu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2022,2,7]]},"reference":[{"issue":"12","key":"2392_CR1","doi-asserted-by":"publisher","first-page":"3690","DOI":"10.1109\/TIP.2006.884921","volume":"15","author":"T Aach","year":"2006","unstructured":"Aach, T., Mota, C., Stuke, I., Muhlich, M., Barth, E.: Analysis of superimposed oriented patterns. IEEE Trans. Image Process. 15(12), 3690\u20133700 (2006)","journal-title":"IEEE Trans. Image Process."},{"issue":"1","key":"2392_CR2","doi-asserted-by":"publisher","first-page":"111","DOI":"10.1007\/s11263-006-4331-z","volume":"67","author":"JF Aujol","year":"2006","unstructured":"Aujol, J.F., Gilboa, G., Chan, T., Osher, S.: Structure\u2013texture image decomposition modeling, algorithms, and parameter selection. Int. J. Comput. Vis. 67(1), 111\u2013136 (2006)","journal-title":"Int. J. Comput. Vis."},{"issue":"2","key":"2392_CR3","doi-asserted-by":"publisher","first-page":"555","DOI":"10.1109\/TIP.2013.2291328","volume":"23","author":"L Bao","year":"2013","unstructured":"Bao, L., Song, Y., Yang, Q., Yuan, H., Wang, G.: Tree filtering: efficient structure-preserving smoothing with a minimum spanning tree. IEEE Trans. Image Process. 23(2), 555\u2013569 (2013)","journal-title":"IEEE Trans. Image Process."},{"issue":"3","key":"2392_CR4","doi-asserted-by":"publisher","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":"2392_CR5","doi-asserted-by":"crossref","unstructured":"Bristow, H., Eriksson, A., Lucey, S.: Fast convolutional sparse coding. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp. 391\u2013398 (2013)","DOI":"10.1109\/CVPR.2013.57"},{"issue":"2","key":"2392_CR6","doi-asserted-by":"publisher","first-page":"123","DOI":"10.1007\/s11263-007-0052-1","volume":"76","author":"A Buades","year":"2008","unstructured":"Buades, A., Coll, B., Morel, J.M.: Nonlocal image and movie denoising. Int. J. Comput. Vision 76(2), 123\u2013139 (2008)","journal-title":"Int. J. Comput. Vision"},{"key":"2392_CR7","doi-asserted-by":"crossref","unstructured":"Chalasani, R., Principe, J.C., Ramakrishnan, N.: A fast proximal method for convolutional sparse coding. In: Proceedings of the International Joint Conference on Neural Networks (IJCNN), pp. 1\u20135. IEEE (2013)","DOI":"10.1109\/IJCNN.2013.6706854"},{"key":"2392_CR8","doi-asserted-by":"crossref","unstructured":"Chen, Q., Xu, J., Koltun, V.: Fast image processing with fully-convolutional networks. In: Proceedings of the IEEE International Conference on Computer Vision, pp. 2497\u20132506 (2017)","DOI":"10.1109\/ICCV.2017.273"},{"issue":"1","key":"2392_CR9","doi-asserted-by":"publisher","first-page":"129","DOI":"10.1137\/S003614450037906X","volume":"43","author":"SS Chen","year":"2001","unstructured":"Chen, S.S., Donoho, D.L., Saunders, M.A.: Atomic decomposition by basis pursuit. SIAM Rev. 43(1), 129\u2013159 (2001)","journal-title":"SIAM Rev."},{"key":"2392_CR10","doi-asserted-by":"crossref","unstructured":"Dalal, N., Triggs, B.: Histograms of oriented gradients for human detection. In: Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition, vol.\u00a01, pp. 886\u2013893. IEEE (2005)","DOI":"10.1109\/CVPR.2005.177"},{"issue":"3","key":"2392_CR11","doi-asserted-by":"publisher","first-page":"769","DOI":"10.1145\/566654.566650","volume":"21","author":"D DeCarlo","year":"2002","unstructured":"DeCarlo, D., Santella, A.: Stylization and abstraction of photographs. ACM Trans. Graph. 21(3), 769\u2013776 (2002)","journal-title":"ACM Trans. Graph."},{"issue":"3","key":"2392_CR12","doi-asserted-by":"publisher","first-page":"485","DOI":"10.1109\/TPAMI.2010.114","volume":"33","author":"N Dowson","year":"2010","unstructured":"Dowson, N., Salvado, O.: Hashed nonlocal means for rapid image filtering. IEEE Trans. Pattern Anal. Mach. Intell. 33(3), 485\u2013499 (2010)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"issue":"3","key":"2392_CR13","doi-asserted-by":"publisher","first-page":"257","DOI":"10.1145\/566654.566574","volume":"21","author":"F Durand","year":"2002","unstructured":"Durand, F., Dorsey, J.: Fast bilateral filtering for the display of high-dynamic-range images. ACM Trans. Graph. 21(3), 257\u2013266 (2002)","journal-title":"ACM Trans. Graph."},{"key":"2392_CR14","doi-asserted-by":"crossref","unstructured":"Fan, Q., Yang, J., Hua, G., Chen, B., Wipf, D.: A generic deep architecture for single image reflection removal and image smoothing. In: Proceedings of the IEEE International Conference on Computer Vision, pp. 3238\u20133247 (2017)","DOI":"10.1109\/ICCV.2017.351"},{"issue":"6","key":"2392_CR15","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1145\/3272127.3275081","volume":"37","author":"Q Fan","year":"2018","unstructured":"Fan, Q., Yang, J., Wipf, D., Chen, B., Tong, X.: Image smoothing via unsupervised learning. ACM Trans. Graph. (TOG) 37(6), 1\u201314 (2018)","journal-title":"ACM Trans. Graph. (TOG)"},{"issue":"7","key":"2392_CR16","doi-asserted-by":"publisher","first-page":"3170","DOI":"10.1016\/j.jfranklin.2017.01.037","volume":"354","author":"YR Fan","year":"2017","unstructured":"Fan, Y.R., Huang, T.Z., Ma, T.H., Zhao, X.L.: Cartoon-texture image decomposition via non-convex low-rank texture regularization. J. Franklin Inst. 354(7), 3170\u20133187 (2017)","journal-title":"J. Franklin Inst."},{"issue":"3","key":"2392_CR17","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1145\/1360612.1360666","volume":"27","author":"Z Farbman","year":"2008","unstructured":"Farbman, Z., Fattal, R., Lischinski, D., Szeliski, R.: Edge-preserving decompositions for multi-scale tone and detail manipulation. ACM Trans. Graph. (TOG) 27(3), 1\u201310 (2008)","journal-title":"ACM Trans. Graph. (TOG)"},{"key":"2392_CR18","doi-asserted-by":"crossref","unstructured":"Fattal, R., Lischinski, D., Werman, M.: Gradient domain high dynamic range compression. In: Proceedings of the Annual Conference on Computer Graphics and Interactive Techniques, pp. 249\u2013256 (2002)","DOI":"10.1145\/566654.566573"},{"key":"2392_CR19","doi-asserted-by":"crossref","unstructured":"Gu, S., Meng, D., Zuo, W., Zhang, L.: Joint convolutional analysis and synthesis sparse representation for single image layer separation. In: Proceedings of the IEEE International Conference on Computer Vision, pp. 1708\u20131716 (2017)","DOI":"10.1109\/ICCV.2017.189"},{"issue":"9","key":"2392_CR20","doi-asserted-by":"publisher","first-page":"1329","DOI":"10.1007\/s10851-019-00909-9","volume":"61","author":"Y Gu","year":"2019","unstructured":"Gu, Y., Yang, X., Gao, Y.: A novel total generalized variation model for image dehazing. J. Math. Imaging Vis. 61(9), 1329\u20131341 (2019)","journal-title":"J. Math. Imaging Vis."},{"issue":"3","key":"2392_CR21","doi-asserted-by":"publisher","first-page":"694","DOI":"10.1109\/TPAMI.2018.2883553","volume":"42","author":"X Guo","year":"2018","unstructured":"Guo, X., Li, Y., Ma, J., Ling, H.: Mutually guided image filtering. IEEE Trans. Pattern Anal. Mach. Intell. 42(3), 694\u2013707 (2018)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"issue":"6","key":"2392_CR22","doi-asserted-by":"publisher","first-page":"1397","DOI":"10.1109\/TPAMI.2012.213","volume":"35","author":"K He","year":"2013","unstructured":"He, K., Sun, J., Tang, X.: Guided image filtering. IEEE Trans. Pattern Anal. Mach. Intell. 35(6), 1397\u20131409 (2013)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"2392_CR23","doi-asserted-by":"crossref","DOI":"10.1007\/3-540-57418-2","volume-title":"Spatio-Temporal Image Processing: Theory and Scientific Applications","author":"B J\u00e4hne","year":"1993","unstructured":"J\u00e4hne, B.: Spatio-Temporal Image Processing: Theory and Scientific Applications, vol. 751. Springer, Berlin (1993)"},{"key":"2392_CR24","doi-asserted-by":"crossref","unstructured":"Jeon, J., Lee, H., Kang, H., Lee, S.: Scale-aware structure-preserving texture filtering. In: Proceedings of the Computer Graphics Forum, vol.\u00a035, pp. 77\u201386. Wiley, New York (2016)","DOI":"10.1111\/cgf.13005"},{"issue":"1","key":"2392_CR25","doi-asserted-by":"publisher","first-page":"172","DOI":"10.1007\/s10915-017-0357-3","volume":"72","author":"M Kang","year":"2017","unstructured":"Kang, M., Kang, M., Jung, M.: Total generalized variation based denoising models for ultrasound images. J. Sci. Comput. 72(1), 172\u2013197 (2017)","journal-title":"J. Sci. Comput."},{"key":"2392_CR26","doi-asserted-by":"crossref","unstructured":"Kass, M., Solomon, J.: Smoothed local histogram filters. In: ACM SIGGRAPH 2010 Papers, pp. 1\u201310 (2010)","DOI":"10.1145\/1833349.1778837"},{"key":"2392_CR27","first-page":"1090","volume":"23","author":"K Kavukcuoglu","year":"2010","unstructured":"Kavukcuoglu, K., Sermanet, P., Boureau, Y.L., Gregor, K., Mathieu, M., Cun, Y., et al.: Learning convolutional feature hierarchies for visual recognition. Adv. Neural. Inf. Process. Syst. 23, 1090\u20131098 (2010)","journal-title":"Adv. Neural. Inf. Process. Syst."},{"issue":"6","key":"2392_CR28","doi-asserted-by":"publisher","first-page":"2692","DOI":"10.1109\/TIP.2018.2889531","volume":"28","author":"Y Kim","year":"2018","unstructured":"Kim, Y., Ham, B., Do, M.N., Sohn, K.: Structure\u2013texture image decomposition using deep variational priors. IEEE Trans. Image Process. 28(6), 2692\u20132704 (2018)","journal-title":"IEEE Trans. Image Process."},{"issue":"11","key":"2392_CR29","doi-asserted-by":"publisher","first-page":"4528","DOI":"10.1109\/TIP.2015.2468183","volume":"24","author":"F Kou","year":"2015","unstructured":"Kou, F., Chen, W., Wen, C., Li, Z.: Gradient domain guided image filtering. IEEE Trans. Image Process. 24(11), 4528\u20134539 (2015)","journal-title":"IEEE Trans. Image Process."},{"issue":"2","key":"2392_CR30","doi-asserted-by":"publisher","first-page":"390","DOI":"10.1137\/040610052","volume":"4","author":"TM Le","year":"2005","unstructured":"Le, T.M., Vese, L.A.: Image decomposition using total variation and div (bmo). Multiscale Model. Simul. 4(2), 390\u2013423 (2005)","journal-title":"Multiscale Model. Simul."},{"issue":"1","key":"2392_CR31","first-page":"120","volume":"24","author":"Z Li","year":"2014","unstructured":"Li, Z., Zheng, J., Zhu, Z., Yao, W., Wu, S.: Weighted guided image filtering. IEEE Trans. Image Process. 24(1), 120\u2013129 (2014)","journal-title":"IEEE Trans. Image Process."},{"issue":"2","key":"2392_CR32","doi-asserted-by":"publisher","first-page":"167","DOI":"10.1007\/s00245-008-9047-8","volume":"58","author":"LH Lieu","year":"2008","unstructured":"Lieu, L.H., Vese, L.A.: Image restoration and decomposition via bounded total variation and negative Hilbert\u2013Sobolev spaces. Appl. Math. Optim. 58(2), 167 (2008)","journal-title":"Appl. Math. Optim."},{"issue":"1\u20132","key":"2392_CR33","doi-asserted-by":"publisher","first-page":"225","DOI":"10.1080\/757582976","volume":"21","author":"T Lindeberg","year":"1994","unstructured":"Lindeberg, T.: Scale-space theory: a basic tool for analyzing structures at different scales. J. Appl. Stat. 21(1\u20132), 225\u2013270 (1994)","journal-title":"J. Appl. Stat."},{"issue":"2","key":"2392_CR34","first-page":"254","volume":"20","author":"J Lingling","year":"2009","unstructured":"Lingling, J., Haiqing, Y., Xiangchu, F.: 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":"8","key":"2392_CR35","doi-asserted-by":"publisher","first-page":"1221","DOI":"10.1109\/LSP.2018.2850218","volume":"25","author":"X Liu","year":"2018","unstructured":"Liu, X.: A new Tgv\u2013Gabor model for cartoon-texture image decomposition. IEEE Signal Process. Lett. 25(8), 1221\u20131225 (2018)","journal-title":"IEEE Signal Process. Lett."},{"key":"2392_CR36","doi-asserted-by":"publisher","DOI":"10.1109\/TVCG.2021.3088118","author":"Z Liu","year":"2021","unstructured":"Liu, Z., Li, Y., Wang, W., Liu, L., Chen, R.: Mesh total generalized variation for denoising. IEEE Trans. Visual Comput. Graphics (2021). https:\/\/doi.org\/10.1109\/TVCG.2021.3088118","journal-title":"IEEE Trans. Visual Comput. Graphics"},{"issue":"2","key":"2392_CR37","doi-asserted-by":"publisher","first-page":"358","DOI":"10.3969\/j.issn.1004-4132.2011.02.026","volume":"22","author":"C Lu","year":"2011","unstructured":"Lu, C., Song, G.: Image decomposition using adaptive regularization and div (bmo). J. Syst. Eng. Electron. 22(2), 358\u2013364 (2011)","journal-title":"J. Syst. Eng. Electron."},{"issue":"6","key":"2392_CR38","doi-asserted-by":"publisher","first-page":"495","DOI":"10.1049\/iet-ipr.2015.0573","volume":"10","author":"C Lu","year":"2016","unstructured":"Lu, C., Wang, M.: Alternating direction method for tgv-tgv* based cartoon-texture image decomposition. IET Image Proc. 10(6), 495\u2013504 (2016)","journal-title":"IET Image Proc."},{"key":"2392_CR39","doi-asserted-by":"crossref","unstructured":"Lu, K., You, S., Barnes, N.: Deep texture and structure aware filtering network for image smoothing. In: Proceedings of the European Conference on Computer Vision (ECCV), pp. 217\u2013233 (2018)","DOI":"10.1007\/978-3-030-01225-0_14"},{"issue":"10","key":"2392_CR40","doi-asserted-by":"publisher","first-page":"1585","DOI":"10.1109\/LSP.2018.2867896","volume":"25","author":"Z Lu","year":"2018","unstructured":"Lu, Z., Long, B., Li, K., Lu, F.: Effective guided image filtering for contrast enhancement. IEEE Signal Process. Lett. 25(10), 1585\u20131589 (2018)","journal-title":"IEEE Signal Process. Lett."},{"issue":"1","key":"2392_CR41","doi-asserted-by":"publisher","first-page":"53","DOI":"10.1109\/TIP.2007.911828","volume":"17","author":"J Mairal","year":"2007","unstructured":"Mairal, J., Elad, M., Sapiro, G.: Sparse representation for color image restoration. IEEE Trans. Image Process. 17(1), 53\u201369 (2007)","journal-title":"IEEE Trans. Image Process."},{"key":"2392_CR42","doi-asserted-by":"crossref","unstructured":"Meyer, Y.: Oscillating patterns in image processing and nonlinear evolution equations: the fifteenth Dean Jacqueline B. Lewis memorial lectures, vol.\u00a022. American Mathematical Society (2001)","DOI":"10.1090\/ulect\/022"},{"key":"2392_CR43","doi-asserted-by":"crossref","unstructured":"Ochs, P., Dosovitskiy, A., Brox, T., Pock, T.: An iterated $$l^{1}$$ algorithm for non-smooth non-convex optimization in computer vision. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp. 1759\u20131766 (2013)","DOI":"10.1109\/CVPR.2013.230"},{"issue":"1","key":"2392_CR44","doi-asserted-by":"publisher","first-page":"331","DOI":"10.1137\/140971518","volume":"8","author":"P Ochs","year":"2015","unstructured":"Ochs, P., Dosovitskiy, A., Brox, T., Pock, T.: On iteratively reweighted algorithms for nonsmooth nonconvex optimization in computer vision. SIAM J. Imaging Sci. 8(1), 331\u2013372 (2015)","journal-title":"SIAM J. Imaging Sci."},{"issue":"4","key":"2392_CR45","doi-asserted-by":"publisher","first-page":"1554","DOI":"10.1109\/TIP.2017.2651392","volume":"26","author":"S Ono","year":"2017","unstructured":"Ono, S.: $$l^{0}$$ gradient projection. IEEE Trans. Image Process. 26(4), 1554\u20131564 (2017)","journal-title":"IEEE Trans. Image Process."},{"issue":"3","key":"2392_CR46","doi-asserted-by":"publisher","first-page":"349","DOI":"10.1137\/S1540345902416247","volume":"1","author":"S Osher","year":"2003","unstructured":"Osher, S., Sol\u00e9, A., Vese, L.: Image decomposition and restoration using total variation minimization and the $$h^{-1}$$ norm. Multiscale Model. Simul. 1(3), 349\u2013370 (2003)","journal-title":"Multiscale Model. Simul."},{"issue":"3","key":"2392_CR47","doi-asserted-by":"publisher","first-page":"81","DOI":"10.1145\/2723694","volume":"58","author":"S Paris","year":"2015","unstructured":"Paris, S., Hasinoff, S.W., Kautz, J.: Local Laplacian filters: edge-aware image processing with a Laplacian pyramid. Commun. ACM 58(3), 81\u201391 (2015)","journal-title":"Commun. ACM"},{"issue":"7","key":"2392_CR48","doi-asserted-by":"publisher","first-page":"629","DOI":"10.1109\/34.56205","volume":"12","author":"P Perona","year":"1990","unstructured":"Perona, P., Malik, J.: Scale-space and edge detection using anisotropic diffusion. IEEE Trans. Pattern Anal. Mach. Intell. 12(7), 629\u2013639 (1990)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"2392_CR49","doi-asserted-by":"crossref","unstructured":"Rubinstein, R., Member, S., IEEE, Bruckstein, A.M., Member,: Dictionaries for sparse representation modeling. Proc. IEEE 98(6), 1045\u20131057 (2010)","DOI":"10.1109\/JPROC.2010.2040551"},{"issue":"1\u20134","key":"2392_CR50","doi-asserted-by":"publisher","first-page":"259","DOI":"10.1016\/0167-2789(92)90242-F","volume":"60","author":"LI Rudin","year":"1992","unstructured":"Rudin, L.I., Osher, S., Fatemi, E.: Nonlinear total variation based noise removal algorithms. Physica D 60(1\u20134), 259\u2013268 (1992)","journal-title":"Physica D"},{"key":"2392_CR51","doi-asserted-by":"crossref","unstructured":"Shu, L., Du, H.: Side window weighted median image filtering. In: Proceedings of the International Conference on Multimedia Systems and Signal Processing, pp. 26\u201330. Association for Computing Machinery (2020)","DOI":"10.1145\/3404716.3404727"},{"issue":"10","key":"2392_CR52","doi-asserted-by":"publisher","first-page":"1570","DOI":"10.1109\/TIP.2005.852206","volume":"14","author":"JL Starck","year":"2005","unstructured":"Starck, J.L., Elad, M., Donoho, D.L.: 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."},{"key":"2392_CR53","doi-asserted-by":"publisher","first-page":"273","DOI":"10.1111\/j.1467-9868.2011.00771.x","volume":"73","author":"R Tibshirani","year":"1996","unstructured":"Tibshirani, R.: Regression shrinkage and selection via the lasso. J. R. Stat. Soc. 73, 273\u2013282 (1996). https:\/\/doi.org\/10.1111\/j.1467-9868.2011.00771.x","journal-title":"J. R. Stat. Soc."},{"key":"2392_CR54","unstructured":"Tomasi, C., Manduchi, R.: Bilateral filtering for gray and color images. In: Proceedings of the International Conference on Computer Vision, pp. 839\u2013846. IEEE (1998)"},{"issue":"1","key":"2392_CR55","doi-asserted-by":"publisher","first-page":"487","DOI":"10.1137\/120867172","volume":"6","author":"T Valkonen","year":"2013","unstructured":"Valkonen, T., Bredies, K., Knoll, F.: Total generalized variation in diffusion tensor imaging. SIAM J. Imaging Sci. 6(1), 487\u2013525 (2013)","journal-title":"SIAM J. Imaging Sci."},{"key":"2392_CR56","volume-title":"Reduced Non-convex Functional Approximations for Image Restoration and Segmentation","author":"L Vese","year":"1997","unstructured":"Vese, L., Chan, T.F.: Reduced Non-convex Functional Approximations for Image Restoration and Segmentation. University of California, Department of Mathematics, Los Angeles (1997)"},{"issue":"1\u20133","key":"2392_CR57","doi-asserted-by":"publisher","first-page":"553","DOI":"10.1023\/A:1025384832106","volume":"19","author":"L Vese","year":"2003","unstructured":"Vese, L., Osher, S.: Modeling textures with total variation minimization and oscillating patterns in image processing. J. Sci. Comput. 19(1\u20133), 553\u2013572 (2003)","journal-title":"J. Sci. Comput."},{"issue":"1","key":"2392_CR58","doi-asserted-by":"publisher","first-page":"77","DOI":"10.1007\/s00371-020-01888-4","volume":"37","author":"C Wang","year":"2021","unstructured":"Wang, C., Zhang, H., Liu, L.: Total generalized variation-based retinex image decomposition. Vis. Comput. 37(1), 77\u201393 (2021)","journal-title":"Vis. Comput."},{"issue":"3","key":"2392_CR59","doi-asserted-by":"publisher","first-page":"1221","DOI":"10.1145\/1141911.1142018","volume":"25","author":"H Winnem\u00f6ller","year":"2006","unstructured":"Winnem\u00f6ller, H., Olsen, S.C., Gooch, B.: Real-time video abstraction. ACM Trans. Graph. 25(3), 1221\u20131226 (2006)","journal-title":"ACM Trans. Graph."},{"key":"2392_CR60","doi-asserted-by":"crossref","unstructured":"Wohlberg, B.: Efficient convolutional sparse coding. In: Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp. 7173\u20137177. IEEE (2014)","DOI":"10.1109\/ICASSP.2014.6854992"},{"issue":"2","key":"2392_CR61","doi-asserted-by":"publisher","first-page":"210","DOI":"10.1109\/TPAMI.2008.79","volume":"31","author":"J Wright","year":"2008","unstructured":"Wright, J., Yang, A.Y., Ganesh, A., Sastry, S.S., Ma, Y.: Robust face recognition via sparse representation. IEEE Trans. Pattern Anal. Mach. Intell. 31(2), 210\u2013227 (2008)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"issue":"1","key":"2392_CR62","doi-asserted-by":"publisher","first-page":"168","DOI":"10.1109\/JSEE.2014.00020","volume":"25","author":"J Xu","year":"2014","unstructured":"Xu, J., Feng, X., Hao, Y., Han, Y.: Image decomposition and staircase effect reduction based on total generalized variation. J. Syst. Eng. Electron. 25(1), 168\u2013174 (2014)","journal-title":"J. Syst. Eng. Electron."},{"issue":"1","key":"2392_CR63","doi-asserted-by":"publisher","first-page":"39","DOI":"10.1007\/s11760-012-0420-3","volume":"8","author":"J Xu","year":"2014","unstructured":"Xu, J., Feng, X., Hao, Y., Han, Y.: Image decomposition using adaptive second-order total generalized variation. SIViP 8(1), 39\u201347 (2014)","journal-title":"SIViP"},{"key":"2392_CR64","doi-asserted-by":"crossref","unstructured":"Xu, L., Lu, C., Xu, Y., Jia, J.: Image smoothing via $$l^{0}$$ gradient minimization. In: Proceedings of the SIGGRAPH Asia Conference, pp. 1\u201312 (2011)","DOI":"10.1145\/2070781.2024208"},{"key":"2392_CR65","unstructured":"Xu, L., Ren, J., Yan, Q., Liao, R., Jia, J.: Deep edge-aware filters. In: Proceedings of the International Conference on Machine Learning, vol.\u00a037, pp. 1669\u20131678. PMLR (2015)"},{"issue":"6","key":"2392_CR66","first-page":"1","volume":"31","author":"L Xu","year":"2012","unstructured":"Xu, L., Yan, Q., Xia, Y., Jia, J.: Structure extraction from texture via relative total variation. ACM Trans. Graph. (TOG) 31(6), 1\u201310 (2012)","journal-title":"ACM Trans. Graph. (TOG)"},{"issue":"9","key":"2392_CR67","doi-asserted-by":"publisher","first-page":"4354","DOI":"10.1109\/TIP.2019.2904847","volume":"28","author":"P Xu","year":"2019","unstructured":"Xu, P., Wang, W.: Structure-aware window optimization for texture filtering. IEEE Trans. Image Process. 28(9), 4354\u20134363 (2019)","journal-title":"IEEE Trans. Image Process."},{"key":"2392_CR68","unstructured":"Yang, J., Yu, K., Gong, Y., Huang, T.: Linear spatial pyramid matching using sparse coding for image classification. In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp. 1794\u20131801. IEEE (2009)"},{"issue":"2","key":"2392_CR69","doi-asserted-by":"publisher","first-page":"657","DOI":"10.1109\/TIP.2012.2221725","volume":"22","author":"H Yeganeh","year":"2012","unstructured":"Yeganeh, H., Wang, Z.: Objective quality assessment of tone-mapped images. IEEE Trans. Image Process. 22(2), 657\u2013667 (2012)","journal-title":"IEEE Trans. Image Process."},{"key":"2392_CR70","doi-asserted-by":"crossref","unstructured":"Yin, H., Gong, Y., Qiu, G.: Side window filtering. In: Proceedings of the IEEE\/CVF Conference on Computer Vision and Pattern Recognition, pp. 8758\u20138766 (2019)","DOI":"10.1109\/CVPR.2019.00896"},{"issue":"1","key":"2392_CR71","doi-asserted-by":"publisher","first-page":"313","DOI":"10.1007\/s11045-020-00742-z","volume":"32","author":"H Yin","year":"2021","unstructured":"Yin, H., Gong, Y., Qiu, G.: Combined window filtering and its applications. Multidimens. Syst. Signal Process. 32(1), 313\u2013333 (2021)","journal-title":"Multidimens. Syst. Signal Process."},{"key":"2392_CR72","doi-asserted-by":"crossref","unstructured":"Yin, W., Goldfarb, D., Osher, S.: Image cartoon-texture decomposition and feature selection using the total variation regularized l$$^{1}$$ functional. In: Proceedings of the International Workshop on Variational, Geometric, and Level Set Methods in Computer Vision, pp. 73\u201384. Springer (2005)","DOI":"10.1007\/11567646_7"},{"key":"2392_CR73","doi-asserted-by":"crossref","unstructured":"Zeiler, M.D., Krishnan, D., Taylor, G.W., Fergus, R.: Deconvolutional networks. In: Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition, pp. 2528\u20132535. IEEE (2010)","DOI":"10.1109\/CVPR.2010.5539957"},{"key":"2392_CR74","doi-asserted-by":"crossref","unstructured":"Zhang, H., Patel, V.M.: Convolutional sparse coding-based image decomposition. In: Proceedings of the British Machine Vision Conference (BMVC) (2016)","DOI":"10.5244\/C.30.125"},{"key":"2392_CR75","doi-asserted-by":"crossref","unstructured":"Zhang, Q., Shen, X., Xu, L., Jia, J.: Rolling guidance filter. In: Proceedings of the European Conference on Computer Vision, pp. 815\u2013830. Springer (2014)","DOI":"10.1007\/978-3-319-10578-9_53"},{"key":"2392_CR76","doi-asserted-by":"publisher","first-page":"3458","DOI":"10.1109\/TIP.2019.2961232","volume":"29","author":"F Zhou","year":"2019","unstructured":"Zhou, F., Chen, Q., Liu, B., Qiu, G.: Structure and texture-aware image decomposition via training a neural network. IEEE Trans. Image Process. 29, 3458\u20133473 (2019)","journal-title":"IEEE Trans. Image Process."},{"issue":"6","key":"2392_CR77","doi-asserted-by":"publisher","first-page":"1392","DOI":"10.1109\/TMM.2017.2772438","volume":"20","author":"Z Zhou","year":"2017","unstructured":"Zhou, Z., Wang, B., Ma, J.: Scale-aware edge-preserving image filtering via iterative global optimization. IEEE Trans. Multimed. 20(6), 1392\u20131405 (2017)","journal-title":"IEEE Trans. Multimed."}],"container-title":["The Visual Computer"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00371-021-02392-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00371-021-02392-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00371-021-02392-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,9,18]],"date-time":"2024-09-18T01:55:58Z","timestamp":1726624558000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00371-021-02392-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,2,7]]},"references-count":77,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2023,3]]}},"alternative-id":["2392"],"URL":"https:\/\/doi.org\/10.1007\/s00371-021-02392-z","relation":{},"ISSN":["0178-2789","1432-2315"],"issn-type":[{"value":"0178-2789","type":"print"},{"value":"1432-2315","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,2,7]]},"assertion":[{"value":"23 December 2021","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"7 February 2022","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare that they have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}