{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T16:26:32Z","timestamp":1772295992607,"version":"3.50.1"},"publisher-location":"New York, NY","reference-count":65,"publisher":"Springer New York","isbn-type":[{"value":"9781493907892","type":"print"},{"value":"9781493907908","type":"electronic"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015]]},"DOI":"10.1007\/978-1-4939-0790-8_24","type":"book-chapter","created":{"date-parts":[[2015,5,29]],"date-time":"2015-05-29T16:38:04Z","timestamp":1432917484000},"page":"1501-1537","source":"Crossref","is-referenced-by-count":2,"title":["Numerical Methods and Applications in Total Variation Image Restoration"],"prefix":"10.1007","author":[{"given":"Raymond","family":"Chan","sequence":"first","affiliation":[]},{"given":"Tony F.","family":"Chan","sequence":"additional","affiliation":[]},{"given":"Andy","family":"Yip","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"issue":"6","key":"24_CR1","doi-asserted-by":"publisher","first-page":"1217","DOI":"10.1088\/0266-5611\/10\/6\/003","volume":"10","author":"A Acar","year":"1994","unstructured":"Acar, A., Vogel, C.: Analysis of bounded variation penalty methods for ill-posed problems. Inverse Probl. 10(6), 1217\u20131229 (1994)","journal-title":"Inverse Probl."},{"key":"24_CR2","unstructured":"Adams, R., Fournier, J.: Sobolev Spaces. Volume\u00a0140 of Pure and Applied Mathematics, 2nd edn. Academic, New York (2003)"},{"issue":"3","key":"24_CR3","doi-asserted-by":"publisher","first-page":"307","DOI":"10.1007\/s10851-009-0149-y","volume":"34","author":"J-F Aujol","year":"2009","unstructured":"Aujol, J.-F.: Some first-order algorithms for total variation based image restoration. J. Math. Imaging Vis. 34(3), 307\u2013327 (2009)","journal-title":"J. Math. Imaging Vis."},{"issue":"1","key":"24_CR4","doi-asserted-by":"publisher","first-page":"111","DOI":"10.1007\/s11263-006-4331-z","volume":"67","author":"J-F Aujol","year":"2006","unstructured":"Aujol, J.-F., Gilboa, G., Chan, T., Osher, S.: Structure-texture image decomposition \u2013 modeling, algorithms, and parameter selection. Int. J. Comput. Vis. 67(1), 111\u2013136 (2006)","journal-title":"Int. J. Comput. Vis."},{"key":"24_CR5","doi-asserted-by":"crossref","unstructured":"Bect, J., Blanc-F\u00e9raud, L., Aubert, G., Chambolle, A.: A l 1-unified variational framework for image restoration. In: Proceedings of ECCV. Volume\u00a03024 of Lecture Notes in Computer Sciences, Prague, Czech Republic, pp.\u00a01\u201313 (2004)","DOI":"10.1007\/978-3-540-24673-2_1"},{"key":"24_CR6","first-page":"14","volume":"2","author":"J Bioucas-Dias","year":"2006","unstructured":"Bioucas-Dias, J., Figueiredo, M., Nowak, R.: Total variation-based image deconvolution: a majorization-minimization approach. In: Proceedings of IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP 2006), Toulouse, France, vol.\u00a02, pp.\u00a014\u201319 (2006)","journal-title":"France"},{"key":"24_CR7","doi-asserted-by":"publisher","first-page":"304","DOI":"10.1109\/83.661180","volume":"7","author":"P Blomgren","year":"1998","unstructured":"Blomgren, P., Chan, T.: Color TV: total variation methods for restoration of vector-valued images. IEEE Trans. Image Process. 7, 304\u2013309 (1998)","journal-title":"IEEE Trans. Image Process."},{"key":"24_CR8","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511804441","volume-title":"Convex Optimization","author":"S Boyd","year":"2004","unstructured":"Boyd, S., Vandenberghe, L.: Convex Optimization. Cambridge University Press, Cambridge (2004)"},{"key":"24_CR9","unstructured":"Bresson, X., Chan, T.: Non-local unsupervised variational image segmentation models. UCLA CAM Report, 08\u201367 (2008)"},{"issue":"4","key":"24_CR10","doi-asserted-by":"publisher","first-page":"455","DOI":"10.3934\/ipi.2008.2.455","volume":"2","author":"X Bresson","year":"2008","unstructured":"Bresson, X., Chan, T.: Fast dual minimization of the vectorial total variation norm and applications to color image processing. Inverse Probl. Imaging 2(4), 455\u2013484 (2008)","journal-title":"Inverse Probl. Imaging"},{"issue":"2","key":"24_CR11","doi-asserted-by":"publisher","first-page":"490","DOI":"10.1137\/040616024","volume":"4","author":"A Buades","year":"2005","unstructured":"Buades, A., Coll, B., Morel, J.: A review of image denoising algorithms, with a new one. Multiscale Model. Simul. 4(2), 490\u2013530 (2005)","journal-title":"Multiscale Model. Simul."},{"issue":"2","key":"24_CR12","doi-asserted-by":"publisher","first-page":"366","DOI":"10.1137\/060660564","volume":"6","author":"M Burger","year":"2007","unstructured":"Burger, M., Frick, K., Osher, S., Scherzer, O.: Inverse total variation flow. Multiscale Model. Simul. 6(2), 366\u2013395 (2007)","journal-title":"Multiscale Model. Simul."},{"key":"24_CR13","unstructured":"Carter, J.: Dual methods for total variation-based image restoration. Ph.D. thesis, UCLA, Los Angeles (2001)"},{"key":"24_CR14","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1023\/B:JMIV.0000011320.81911.38","volume":"20","author":"A Chambolle","year":"2004","unstructured":"Chambolle, A.: An algorithm for total variation minimization and applications. J. Math. Imaging Vis. 20, 89\u201397 (2004)","journal-title":"J. Math. Imaging Vis."},{"issue":"3","key":"24_CR15","doi-asserted-by":"publisher","first-page":"288","DOI":"10.1007\/s11263-009-0238-9","volume":"84","author":"A Chambolle","year":"1997","unstructured":"Chambolle, A., Darbon, J.: On total variation minimization and surface evolution using parametric maximum flows. Int. J. Comput. Vis. 84(3), 288\u2013307 (1997)","journal-title":"Int. J. Comput. Vis."},{"key":"24_CR16","doi-asserted-by":"publisher","first-page":"167","DOI":"10.1007\/s002110050258","volume":"76","author":"A Chambolle","year":"1997","unstructured":"Chambolle, A., Lions, P.: Image recovery via total variation minimization and related problems. Numer. Math. 76, 167\u2013188 (1997)","journal-title":"Numer. Math."},{"key":"24_CR17","doi-asserted-by":"publisher","first-page":"1472","DOI":"10.1109\/83.791976","volume":"8","author":"R Chan","year":"1999","unstructured":"Chan, R., Chan, T., Wong, C.: Cosine transform based preconditioners for total variation deblurring. IEEE Trans. Image Process. 8, 1472\u20131478 (1999)","journal-title":"IEEE Trans. Image Process."},{"issue":"7","key":"24_CR18","doi-asserted-by":"publisher","first-page":"1467","DOI":"10.1109\/TIP.2009.2019806","volume":"18","author":"R Chan","year":"2009","unstructured":"Chan, R., Wen, Y., Yip, A.: A fast optimization transfer algorithm for image inpainting in wavelet domains. IEEE Trans. Image Process. 18(7), 1467\u20131476 (2009)","journal-title":"IEEE Trans. Image Process."},{"issue":"2","key":"24_CR19","doi-asserted-by":"publisher","first-page":"266","DOI":"10.1109\/83.902291","volume":"10","author":"T Chan","year":"2001","unstructured":"Chan, T., Vese, L.: Active contours without edges. IEEE Trans. Image Process. 10(2), 266\u2013277 (2001)","journal-title":"IEEE Trans. Image Process."},{"key":"24_CR20","doi-asserted-by":"publisher","first-page":"1964","DOI":"10.1137\/S1064827596299767","volume":"20","author":"T Chan","year":"1999","unstructured":"Chan, T., Golub, G., Mulet, P.: A nonlinear primal-dual method for total variation-based image restoration. SIAM J. Sci. Comput. 20, 1964\u20131977 (1999)","journal-title":"SIAM J. Sci. Comput."},{"key":"24_CR21","first-page":"17","volume-title":"Handbook of Mathematical Models in Computer Vision","author":"T Chan","year":"2005","unstructured":"Chan, T., Esedo\u1e21lu, S., Park, F., Yip, A.: Recent developments in total variation image restoration. In: Paragios, N., Chen, Y., Faugeras, O. (eds.) Handbook of Mathematical Models in Computer Vision. Springer, Berlin, pp.\u00a017\u201332 (2005)"},{"issue":"5","key":"24_CR22","doi-asserted-by":"publisher","first-page":"1632","DOI":"10.1137\/040615286","volume":"66","author":"T Chan","year":"2006","unstructured":"Chan, T., Esedo\u1e21lu, S., Nikolova, M.: Algorithms for finding global minimizers of image segmentation and denoising models. SIAM J. Appl. Math. 66(5), 1632\u20131648 (2006)","journal-title":"SIAM J. Appl. Math."},{"issue":"1","key":"24_CR23","doi-asserted-by":"publisher","first-page":"107","DOI":"10.1007\/s10851-006-5257-3","volume":"25","author":"T Chan","year":"2006","unstructured":"Chan, T., Shen, J., Zhou, H.: Total variation wavelet inpainting. J. Math. Imaging Vis. 25(1), 107\u2013125 (2006)","journal-title":"J. Math. Imaging Vis."},{"issue":"1","key":"24_CR24","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1016\/j.acha.2006.09.005","volume":"23","author":"T Chan","year":"2007","unstructured":"Chan, T., Ng, M., Yau, C., Yip, A.: Superresolution image reconstruction using fast inpainting algorithms. Appl. Comput. Harmon. Anal. 23(1), 3\u201324 (2007)","journal-title":"Appl. Comput. Harmon. Anal."},{"key":"24_CR25","doi-asserted-by":"publisher","first-page":"27432","DOI":"10.1155\/2007\/27432","volume":"2007","author":"O Christiansen","year":"2007","unstructured":"Christiansen, O., Lee, T., Lie, J., Sinha, U., Chan, T.: Total variation regularization of matrix-valued images. Int. J. Biomed. Imaging 2007, 27432 (2007)","journal-title":"Int. J. Biomed. Imaging"},{"issue":"4","key":"24_CR26","doi-asserted-by":"publisher","first-page":"1168","DOI":"10.1137\/050626090","volume":"4","author":"P Combettes","year":"2004","unstructured":"Combettes, P., Wajs, V.: Signal recovery by proximal forward-backward splitting. Multiscale Model. Simul. 4(4), 1168\u20131200 (2004)","journal-title":"Multiscale Model. Simul."},{"key":"24_CR27","doi-asserted-by":"publisher","first-page":"261","DOI":"10.1007\/s10851-006-8803-0","volume":"26","author":"J Darbon","year":"2006","unstructured":"Darbon, J., Sigelle, M.: Image restoration with discrete constrained total variation part I: fast and exact optimization. J. Math. Imaging Vis. 26, 261\u2013276 (2006)","journal-title":"J. Math. Imaging Vis."},{"key":"24_CR28","first-page":"1033","volume":"2","author":"A Efros","year":"1999","unstructured":"Efros, A., Leung, T.: Texture synthesis by non-parametric sampling. In: Proceedings of the IEEE International Conference on Computer Vision, Corfu, vol.\u00a02, pp.\u00a01033\u20131038 (1999)","journal-title":"In: Proceedings of the IEEE International Conference on Computer Vision, Corfu"},{"issue":"4","key":"24_CR29","doi-asserted-by":"publisher","first-page":"1015","DOI":"10.1137\/09076934X","volume":"3","author":"E Esser","year":"2010","unstructured":"Esser, E., Zhang, X., Chan, T.: A general framework for a class of first order primal-dual algorithms for TV minimization. SIAM J. Imaging Sci. 3(4), 1015\u20131046 (2010)","journal-title":"SIAM J. Imaging Sci."},{"issue":"6","key":"24_CR30","doi-asserted-by":"publisher","first-page":"1881","DOI":"10.1137\/040615079","volume":"27","author":"H Fu","year":"2006","unstructured":"Fu, H., Ng, M., Nikolova, M., Barlow, J.: Efficient minimization methods of mixed l2-l1 and l1-l1 norms for image restoration. SIAM J. Sci. Comput. 27(6), 1881\u20131902 (2006)","journal-title":"SIAM J. Sci. Comput."},{"issue":"3","key":"24_CR31","doi-asserted-by":"publisher","first-page":"1005","DOI":"10.1137\/070698592","volume":"7","author":"G Gilboa","year":"2008","unstructured":"Gilboa, G., Osher, S.: Nonlocal operators with applications to image processing. Multiscale Model. Simul. 7(3), 1005\u20131028 (2008)","journal-title":"Multiscale Model. Simul."},{"key":"24_CR32","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4684-9486-0","volume-title":"Minimal Surfaces and Functions of Bounded Variation","author":"E Giusti","year":"1984","unstructured":"Giusti, E.: Minimal Surfaces and Functions of Bounded Variation. Birkh\u00e4user, Boston (1984)"},{"key":"24_CR33","doi-asserted-by":"publisher","DOI":"10.1137\/1.9781611970838","volume-title":"Augmented Lagrangians and Operator-Splitting Methods in Nonlinear Mechanics","author":"R Glowinki","year":"1989","unstructured":"Glowinki, R., Le Tallec, P.: Augmented Lagrangians and Operator-Splitting Methods in Nonlinear Mechanics. SIAM, Philadelphia (1989)"},{"issue":"2","key":"24_CR34","doi-asserted-by":"publisher","first-page":"622","DOI":"10.1137\/040608982","volume":"27","author":"D Goldfarb","year":"2005","unstructured":"Goldfarb, D., Yin, W.: Second-order cone programming methods for total variation based image restoration. SIAM J. Sci. Comput. 27(2), 622\u2013645 (2005)","journal-title":"SIAM J. Sci. Comput."},{"issue":"2","key":"24_CR35","doi-asserted-by":"publisher","first-page":"323","DOI":"10.1137\/080725891","volume":"2","author":"T Goldstein","year":"2009","unstructured":"Goldstein, T., Osher, S.: The split Bregman method for l 1-regularization problems. SIAM J. Imaging Sci. 2(2), 323\u2013343 (2009)","journal-title":"SIAM J. Imaging Sci."},{"key":"24_CR36","doi-asserted-by":"publisher","first-page":"1311","DOI":"10.1137\/S0036139902403901","volume":"64","author":"M Hinterm\u00fcller","year":"2004","unstructured":"Hinterm\u00fcller, M., Kunisch, K.: Total bounded variation regularization as a bilaterally constrained optimisation problem. SIAM J. Appl. Math. 64, 1311\u20131333 (2004)","journal-title":"SIAM J. Appl. Math."},{"key":"24_CR37","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1137\/040613263","volume":"28","author":"M Hinterm\u00fcller","year":"2006","unstructured":"Hinterm\u00fcller, M., Stadler, G.: A primal-dual algorithm for TV-based inf-convolution-type image restoration. SIAM J. Sci. Comput. 28, 1\u201323 (2006)","journal-title":"SIAM J. Sci. Comput."},{"issue":"3","key":"24_CR38","doi-asserted-by":"publisher","first-page":"865","DOI":"10.1137\/S1052623401383558","volume":"13","author":"M Hinterm\u00fcller","year":"2003","unstructured":"Hinterm\u00fcller, M., Ito, K., Kunisch, K.: The primal-dual active set strategy as a semismooth Newton\u2019s method. SIAM J. Optim. 13(3), 865\u2013888 (2003)","journal-title":"SIAM J. Optim."},{"issue":"2","key":"24_CR39","doi-asserted-by":"publisher","first-page":"774","DOI":"10.1137\/070703533","volume":"7","author":"Y Huang","year":"2008","unstructured":"Huang, Y., Ng, M., Wen, Y.: A fast total variation minimization method for image restoration. Multiscale Model. Simul. 7(2), 774\u2013795 (2008)","journal-title":"Multiscale Model. Simul."},{"key":"24_CR40","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-8176-8174-6","volume-title":"Generalized Functions: Theory and Applications","author":"RP Kanwal","year":"2004","unstructured":"Kanwal, R.P.: Generalized Functions: Theory and Applications. Birkh\u00e4user, Boston (2004)"},{"issue":"2","key":"24_CR41","doi-asserted-by":"publisher","first-page":"2766","DOI":"10.1109\/TIP.2007.908079","volume":"16","author":"D Krishnan","year":"2007","unstructured":"Krishnan, D., Lin, P., Yip, A.: A primal-dual active-set method for non-negativity constrained total variation deblurring problems. IEEE Trans. Image Process. 16(2), 2766\u20132777 (2007)","journal-title":"IEEE Trans. Image Process."},{"issue":"1\u20133","key":"24_CR42","doi-asserted-by":"publisher","first-page":"237","DOI":"10.1007\/s10444-008-9101-8","volume":"31","author":"D Krishnan","year":"2009","unstructured":"Krishnan, D., Pham, Q., Yip, A.: A primal dual active set algorithm for bilaterally constrained total variation deblurring and piecewise constant Mumford-Shah segmentation problems. Adv. Comput. Math. 31(1\u20133), 237\u2013266 (2009)","journal-title":"Adv. Comput. Math."},{"key":"24_CR43","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-4182-7","volume-title":"Optimization","author":"K Lange","year":"2004","unstructured":"Lange, K.: (2004) Optimization. Springer, New York"},{"key":"24_CR44","first-page":"306","volume":"8","author":"K Lange","year":"1984","unstructured":"Lange, K., Carson, R.: (1984) EM reconstruction algorithms for emission and transmission tomography. J. Comput. Assist. Tomogr. 8, 306\u2013316","journal-title":"J. Comput. Assist. Tomogr."},{"issue":"3","key":"24_CR45","first-page":"2289","volume":"17","author":"Y Law","year":"2008","unstructured":"Law, Y., Lee, H., Yip, A.: A multi-resolution stochastic level set method for Mumford-Shah image segmentation. IEEE Trans. Image Process. 17(3), 2289\u20132300 (2008)","journal-title":"IEEE Trans. Image Process."},{"key":"24_CR46","volume-title":"Numerical Methods for Conservation Laws","author":"R LeVeque","year":"2005","unstructured":"LeVeque, R.: Numerical Methods for Conservation Laws, 2nd edn. Birkh\u00e4user, Basel (2005)","edition":"2"},{"key":"24_CR47","doi-asserted-by":"publisher","first-page":"577","DOI":"10.1002\/cpa.3160420503","volume":"42","author":"D Mumford","year":"1989","unstructured":"Mumford, D., Shah, J.: Optimal approximation by piecewise smooth functions and associated variational problems. Commun. Pure Appl. Math. 42, 577\u2013685 (1989)","journal-title":"Commun. Pure Appl. Math."},{"issue":"3","key":"24_CR48","doi-asserted-by":"publisher","first-page":"265","DOI":"10.1007\/s10851-007-0650-0","volume":"27","author":"M Ng","year":"2007","unstructured":"Ng, M., Qi, L., Tang, Y., Huang, Y.: On semismooth Newton\u2019s methods for total variation minimization. J. Math. Imaging Vis. 27(3), 265\u2013276 (2007)","journal-title":"J. Math. Imaging Vis."},{"key":"24_CR49","doi-asserted-by":"publisher","first-page":"460","DOI":"10.1137\/040605412","volume":"4","author":"S Osher","year":"2005","unstructured":"Osher, S., Burger, M., Goldfarb, D., Xu, J., Yin, W.: An iterative regularization method for total variation based image restoration. Multiscale Model. Simul. 4, 460\u2013489 (2005)","journal-title":"Multiscale Model. Simul."},{"key":"24_CR50","volume-title":"Real Analysis","author":"H Royden","year":"1988","unstructured":"Royden, H.: Real Analysis, 3rd edn. Prentice-Hall, Englewood Cliffs (1988)","edition":"3"},{"key":"24_CR51","doi-asserted-by":"publisher","first-page":"259","DOI":"10.1016\/0167-2789(92)90242-F","volume":"60","author":"L Rudin","year":"1992","unstructured":"Rudin, L., Osher, S., Fatemi, E.: Nonlinear total variation based noise removal algorithms. Physica D 60, 259\u2013268 (1992)","journal-title":"Physica D"},{"key":"24_CR52","doi-asserted-by":"publisher","first-page":"1582","DOI":"10.1109\/83.541429","volume":"5","author":"G Sapiro","year":"1996","unstructured":"Sapiro, G., Ringach, D.: Anisotropic diffusion of multivalued images with applications to color filtering. IEEE Trans. Image Process. 5, 1582\u20131586 (1996)","journal-title":"IEEE Trans. Image Process."},{"key":"24_CR53","doi-asserted-by":"crossref","unstructured":"Setzer, S.: Split Bregman algorithm, Douglas-Rachford splitting and frame shrinkage. In: Proceedings of Scale-Space, Voss, Norway, pp.\u00a0464\u2013476 (2009)","DOI":"10.1007\/978-3-642-02256-2_39"},{"key":"24_CR54","doi-asserted-by":"publisher","first-page":"341","DOI":"10.1007\/978-3-540-88378-4_17","volume-title":"Visualization and Processing of Tensor Fields: Advances and Perspectives, Mathematics and Visualization","author":"S Setzer","year":"2009","unstructured":"Setzer, S., Steidl, G., Popilka, B., Burgeth, B.: Variational methods for denoising matrix fields. In: Laidlaw, D., Weickert, J. (eds.) Visualization and Processing of Tensor Fields: Advances and Perspectives, Mathematics and Visualization, pp.\u00a0341\u2013360. Springer, Berlin (2009)"},{"issue":"3","key":"24_CR55","doi-asserted-by":"publisher","first-page":"557","DOI":"10.3934\/ipi.2007.1.557","volume":"1","author":"J Shen","year":"2007","unstructured":"Shen, J., Kang, S.: Quantum TV and application in image processing. Inverse Probl. Imaging 1(3), 557\u2013575 (2007)","journal-title":"Inverse Probl. Imaging"},{"issue":"2","key":"24_CR56","doi-asserted-by":"publisher","first-page":"123","DOI":"10.1007\/BF02592050","volume":"26","author":"G Strang","year":"1983","unstructured":"Strang, G.: Maximal flow through a domain. Math. Program. 26(2), 123\u2013143 (1983)","journal-title":"Math. Program."},{"key":"24_CR57","doi-asserted-by":"crossref","unstructured":"Tschumperl\u00e9, D., Deriche, R.: Diffusion tensor regularization with constraints preservation. In: Proceedings of 2001 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, Kauai, vol.\u00a01, pp.\u00a0948\u2013953. IEEE Computer Science Press (2001)","DOI":"10.1109\/CVPR.2001.990631"},{"key":"24_CR58","doi-asserted-by":"publisher","first-page":"227","DOI":"10.1137\/0917016","volume":"17","author":"C Vogel","year":"1996","unstructured":"Vogel, C., Oman, M.: Iteration methods for total variation denoising. SIAM J. Sci. Comput. 17, 227\u2013238 (1996)","journal-title":"SIAM J. Sci. Comput."},{"issue":"3","key":"24_CR59","doi-asserted-by":"publisher","first-page":"248","DOI":"10.1137\/080724265","volume":"1","author":"Y Wang","year":"2008","unstructured":"Wang, Y, Yang, J., Yin, W., Zhang, Y.: A new alternating minimization algorithm for total variation image reconstruction. SIAM J. Imaging Sci. 1(3), 248\u2013272 (2008)","journal-title":"SIAM J. Imaging Sci."},{"issue":"8","key":"24_CR60","doi-asserted-by":"publisher","first-page":"930","DOI":"10.1109\/TMI.2004.831218","volume":"23","author":"Z Wang","year":"2004","unstructured":"Wang, Z., Vemuri, B., Chen, Y., Mareci, T.: A constrained variational principle for direct estimation and smoothing of the diffusion tensor field from complex DWI. IEEE Trans. Med. Imaging 23(8), 930\u2013939 (2004)","journal-title":"IEEE Trans. Med. Imaging"},{"issue":"3","key":"24_CR61","doi-asserted-by":"publisher","first-page":"2047","DOI":"10.1137\/070696143","volume":"31","author":"P Weiss","year":"2009","unstructured":"Weiss, P., Aubert, G., Blanc-F\u00e8raud, L.: Efficient schemes for total variation minimization under constraints in image processing. SIAM J. Sci. Comput. 31(3), 2047\u20132080 (2009)","journal-title":"SIAM J. Sci. Comput."},{"issue":"3","key":"24_CR62","doi-asserted-by":"publisher","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 iteration for ROF, vectorial TV, and high order models. SIAM J. Imaging Sci. 3(3), 300\u2013339 (2010)","journal-title":"SIAM J. Imaging Sci."},{"issue":"1","key":"24_CR63","doi-asserted-by":"publisher","first-page":"143","DOI":"10.1137\/070703983","volume":"1","author":"W Yin","year":"2008","unstructured":"Yin, W., Osher, S., Goldfarb, D., Darbon, J.: Bregman iterative algorithms for l 1-minimization with applications to compressed sensing. SIAM J. Imaging Sci. 1(1), 143\u2013168 (2008)","journal-title":"SIAM J. Imaging Sci."},{"key":"24_CR64","unstructured":"Zhu, M., Chan, T.: An efficient primal-dual hybrid gradient algorithm for total variation image restoration. UCLA CAM Report, 08\u201334 (2008)"},{"issue":"3","key":"24_CR65","doi-asserted-by":"publisher","first-page":"377","DOI":"10.1007\/s10589-008-9225-2","volume":"47","author":"M Zhu","year":"2010","unstructured":"Zhu, M., Wright, S.J., Chan, T.F.: Duality-based algorithms for total-variation-regularized image restoration. Comput. Optim. Appl. 47(3), 377\u2013400 (2010)","journal-title":"Comput. Optim. Appl."}],"container-title":["Handbook of Mathematical Methods in Imaging"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-1-4939-0790-8_24","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,5,28]],"date-time":"2025-05-28T04:45:06Z","timestamp":1748407506000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-1-4939-0790-8_24"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015]]},"ISBN":["9781493907892","9781493907908"],"references-count":65,"URL":"https:\/\/doi.org\/10.1007\/978-1-4939-0790-8_24","relation":{},"subject":[],"published":{"date-parts":[[2015]]}}}