{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,15]],"date-time":"2025-06-15T13:10:05Z","timestamp":1749993005863,"version":"3.41.0"},"publisher-location":"Cham","reference-count":15,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319529196"},{"type":"electronic","value":"9783319529202"}],"license":[{"start":{"date-parts":[[2017,1,1]],"date-time":"2017-01-01T00:00:00Z","timestamp":1483228800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2017]]},"DOI":"10.1007\/978-3-319-52920-2_30","type":"book-chapter","created":{"date-parts":[[2017,2,16]],"date-time":"2017-02-16T18:13:40Z","timestamp":1487268820000},"page":"326-337","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["An Efficient Algorithm for Total Variation Denoising"],"prefix":"10.1007","author":[{"given":"Artyom","family":"Makovetskii","sequence":"first","affiliation":[]},{"given":"Sergei","family":"Voronin","sequence":"additional","affiliation":[]},{"given":"Vitaly","family":"Kober","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2017,2,17]]},"reference":[{"key":"30_CR1","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 noised removal algorithms. Phys. D. 60, 259\u2013268 (1992)","journal-title":"Phys. D."},{"key":"30_CR2","doi-asserted-by":"publisher","first-page":"167","DOI":"10.1007\/s002110050258","volume":"76","author":"A Chambolle","year":"1997","unstructured":"Chambolle, A., Lions, P.L.: Image recovery via total variational minimization and related problems. Numer. Math. 76, 167\u2013188 (1997)","journal-title":"Numer. Math."},{"key":"30_CR3","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":"30_CR4","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. Imag. Vis. 20, 89\u201397 (2004)","journal-title":"J. Math. Imag. Vis."},{"key":"30_CR5","unstructured":"Barbero, A., Sra, S.: Fast newton-type methods for total variation regularization. In: ICML (2011)"},{"key":"30_CR6","doi-asserted-by":"crossref","unstructured":"Combettes, P., Pesquet, J.: Proximal splitting methods in signal processing. In: Bauschke, H.H., Burachik, R.S., Combettes, P.L., Elser, V., Luke, D.R., Wolkowicz, H. (eds.) Fixed-Point Algorithms for Inverse Problems in Science and Engineering, vol. 49, pp. 185\u2013212. Springer, New York (2011)","DOI":"10.1007\/978-1-4419-9569-8_10"},{"key":"30_CR7","doi-asserted-by":"crossref","unstructured":"Wahlberg, B., Boyd, S., Annergren, M., Wang, Y.: An ADMM algorithm for a class of total variation regularized estimation problems. In: IFAC (2012)","DOI":"10.3182\/20120711-3-BE-2027.00310"},{"issue":"1","key":"30_CR8","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1023\/B:JMIV.0000011325.36760.1e","volume":"20","author":"A Chambolle","year":"2004","unstructured":"Chambolle, A.: An algorithm for total variation minimization and applications. J. Math. Imag. Vis. 20(1), 89\u201397 (2004)","journal-title":"J. Math. Imag. Vis."},{"key":"30_CR9","doi-asserted-by":"crossref","unstructured":"Yang, S., Wang, J., Fan, W., Zhang, X., Wonka, P., Ye, J.: An efficient ADMM algorithm for multidimensional anisotropic total variation regularization problems. In: Proceedings of the 19th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, pp. 641\u2013649 (2013)","DOI":"10.1145\/2487575.2487586"},{"key":"30_CR10","unstructured":"Strong, D.M., Chan, T.F.: Exact Solutions to Total Variation Regularization Problems, UCLA CAM Report (1996)"},{"key":"30_CR11","doi-asserted-by":"publisher","first-page":"165","DOI":"10.1088\/0266-5611\/19\/6\/059","volume":"19","author":"DM Strong","year":"2003","unstructured":"Strong, D.M., Chan, T.F.: Edge-preserving and scale-dependent properties of total variation regularization. Inverse Probl. 19, 165\u2013187 (2003)","journal-title":"Inverse Probl."},{"key":"30_CR12","unstructured":"Condat, L.: A direct algorithm for 1-D total variation denoising. IEEE Signal Process. Lett. 20(11), 1054\u20131057 (2013)"},{"key":"30_CR13","doi-asserted-by":"crossref","unstructured":"Davies, P.L., Kovac, A.: Local extremes, runs, strings and multiresolution. Ann. Stat. 29(1), 1\u201365 (2001)","DOI":"10.1214\/aos\/996986501"},{"key":"30_CR14","doi-asserted-by":"crossref","unstructured":"Makovetskii, A. Kober, V.: Modified gradient descent method for image restoration. In: Proceedings of SPIE Applications of Digital Image Processing XXXVI, vol. 8856 (2013). 885608-1","DOI":"10.1117\/12.2022647"},{"key":"30_CR15","doi-asserted-by":"crossref","unstructured":"Makovetskii, A., Kober, V.: Image restoration based on topological properties of functions of two variables. In: Proceedings of SPIE Applications of Digital Image Processing XXXV, vol. 8499 (2012). 84990A","DOI":"10.1117\/12.928944"}],"container-title":["Communications in Computer and Information Science","Analysis of Images, Social Networks and Texts"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-52920-2_30","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,15]],"date-time":"2025-06-15T12:33:42Z","timestamp":1749990822000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-52920-2_30"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017]]},"ISBN":["9783319529196","9783319529202"],"references-count":15,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-52920-2_30","relation":{},"ISSN":["1865-0929","1865-0937"],"issn-type":[{"type":"print","value":"1865-0929"},{"type":"electronic","value":"1865-0937"}],"subject":[],"published":{"date-parts":[[2017]]},"assertion":[{"value":"17 February 2017","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"AIST","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Analysis of Images, Social Networks and Texts","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Yekaterinburg","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Russia","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2016","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"7 April 2016","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"9 April 2016","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"5","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"aist2016","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"http:\/\/aistconf.org\/2016\/en","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}