{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T01:43:40Z","timestamp":1742953420584,"version":"3.40.3"},"publisher-location":"Cham","reference-count":22,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319464473"},{"type":"electronic","value":"9783319464480"}],"license":[{"start":{"date-parts":[[2016,1,1]],"date-time":"2016-01-01T00:00:00Z","timestamp":1451606400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2016,1,1]],"date-time":"2016-01-01T00:00:00Z","timestamp":1451606400000},"content-version":"vor","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":[[2016]]},"DOI":"10.1007\/978-3-319-46448-0_37","type":"book-chapter","created":{"date-parts":[[2016,9,16]],"date-time":"2016-09-16T08:27:24Z","timestamp":1474014444000},"page":"614-627","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Sublabel-Accurate Convex Relaxation of Vectorial Multilabel Energies"],"prefix":"10.1007","author":[{"given":"Emanuel","family":"Laude","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Thomas","family":"M\u00f6llenhoff","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Michael","family":"Moeller","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jan","family":"Lellmann","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Daniel","family":"Cremers","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,9,17]]},"reference":[{"issue":"16","key":"37_CR1","doi-asserted-by":"publisher","first-page":"299","DOI":"10.1007\/s005260100152","volume":"3","author":"G Alberti","year":"2003","unstructured":"Alberti, G., Bouchitt\u00e9, G., Maso, G.D.: The calibration method for the Mumford-Shah functional and free-discontinuity problems. Calc. Var. Partial Dif. 3(16), 299\u2013333 (2003)","journal-title":"Calc. Var. Partial Dif."},{"key":"37_CR2","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198502456.001.0001","volume-title":"Functions of bounded variation and free discontinuity problems","author":"L Ambrosio","year":"2000","unstructured":"Ambrosio, L., Fusco, N., Pallara, D.: Functions of bounded variation and free discontinuity problems. Oxford Mathematical Monographs, The Clarendon Press, Oxford University Press, New York (2000)"},{"issue":"4","key":"37_CR3","doi-asserted-by":"publisher","first-page":"469","DOI":"10.1145\/235815.235821","volume":"22","author":"CB Barber","year":"1996","unstructured":"Barber, C.B., Dobkin, D.P., Huhdanpaa, H.: The quickhull algorithm for convex hulls. ACM Trans. Math. Softw. (TOMS) 22(4), 469\u2013483 (1996)","journal-title":"ACM Trans. Math. Softw. (TOMS)"},{"issue":"4","key":"37_CR4","doi-asserted-by":"publisher","first-page":"1113","DOI":"10.1137\/110856733","volume":"5","author":"A Chambolle","year":"2012","unstructured":"Chambolle, A., Cremers, D., Pock, T.: A convex approach to minimal partitions. SIAM J. Imaging Sci. 5(4), 1113\u20131158 (2012)","journal-title":"SIAM J. Imaging Sci."},{"key":"37_CR5","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"266","DOI":"10.1007\/978-3-319-10578-9_18","volume-title":"Computer Vision \u2013 ECCV 2014","author":"A Fix","year":"2014","unstructured":"Fix, A., Agarwal, S.: Duality and the continuous graphical model. In: Fleet, D., Pajdla, T., Schiele, B., Tuytelaars, T. (eds.) ECCV 2014, Part III. LNCS, vol. 8691, pp. 266\u2013281. Springer, Heidelberg (2014). doi: 10.1007\/978-3-319-10578-9_18"},{"key":"37_CR6","doi-asserted-by":"crossref","unstructured":"Giaquinta, M., Modica, G., Sou\u010dek, J.: Cartesian Currents in the Calculus of Variations I, II. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3, vols. 37\u201338. Springer, Heidelberg (1998)","DOI":"10.1007\/978-3-662-06218-0"},{"issue":"2","key":"37_CR7","doi-asserted-by":"publisher","first-page":"537","DOI":"10.1137\/110823766","volume":"5","author":"B Goldluecke","year":"2012","unstructured":"Goldluecke, B., Strekalovskiy, E., Cremers, D.: The natural total variation which arises from geometric measure theory. SIAM J. Imaging Sci. 5(2), 537\u2013563 (2012)","journal-title":"SIAM J. Imaging Sci."},{"issue":"3","key":"37_CR8","doi-asserted-by":"publisher","first-page":"1626","DOI":"10.1137\/120862351","volume":"6","author":"B Goldluecke","year":"2013","unstructured":"Goldluecke, B., Strekalovskiy, E., Cremers, D.: Tight convex relaxations for vector-valued labeling. SIAM J. Imaging Sci. 6(3), 1626\u20131664 (2013)","journal-title":"SIAM J. Imaging Sci."},{"issue":"10","key":"37_CR9","doi-asserted-by":"publisher","first-page":"1333","DOI":"10.1109\/TPAMI.2003.1233908","volume":"25","author":"H Ishikawa","year":"2003","unstructured":"Ishikawa, H.: Exact optimization for Markov random fields with convex priors. IEEE Trans. Pattern Anal. Mach. Intell. 25(10), 1333\u20131336 (2003)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"issue":"4","key":"37_CR10","first-page":"1049","volume":"4","author":"J Lellmann","year":"2011","unstructured":"Lellmann, J., Schn\u00f6rr, C.: Continuous multiclass labeling approaches and algorithms. IEEE Trans. Pattern Anal. Mach. Intell. 4(4), 1049\u20131096 (2011)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"37_CR11","doi-asserted-by":"crossref","unstructured":"Lellmann, J., Strekalovskiy, E., Koetter, S., Cremers, D.: Total variation regularization for functions with values in a manifold. In: ICCV, December 2013","DOI":"10.1109\/ICCV.2013.366"},{"key":"37_CR12","doi-asserted-by":"crossref","unstructured":"M\u00f6llenhoff, T., Laude, E., Moeller, M., Lellmann, J., Cremers, D.: Sublabel-accurate relaxation of nonconvex energies. In: CVPR (2016)","DOI":"10.1109\/CVPR.2016.428"},{"key":"37_CR13","volume-title":"Numerical Optimization","author":"J Nocedal","year":"2006","unstructured":"Nocedal, J., Wright, S.J.: Numerical Optimization, 2nd edn. Springer, New York (2006)","edition":"2"},{"key":"37_CR14","unstructured":"Pock, T., Cremers, D., Bischof, H., Chambolle, A.: An algorithm for minimizing the piecewise smooth Mumford-Shah functional. In: ICCV (2009)"},{"key":"37_CR15","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"792","DOI":"10.1007\/978-3-540-88690-7_59","volume-title":"Computer Vision \u2013 ECCV 2008","author":"T Pock","year":"2008","unstructured":"Pock, T., Schoenemann, T., Graber, G., Bischof, H., Cremers, D.: A convex formulation of continuous multi-label problems. In: Forsyth, D., Torr, P., Zisserman, A. (eds.) ECCV 2008, Part III. LNCS, vol. 5304, pp. 792\u2013805. Springer, Heidelberg (2008)"},{"issue":"4","key":"37_CR16","first-page":"1122","volume":"3","author":"T Pock","year":"2010","unstructured":"Pock, T., Cremers, D., Bischof, H., Chambolle, A.: Global solutions of variational models with convex regularization. IEEE Trans. Pattern Anal. Mach. Intell. 3(4), 1122\u20131145 (2010)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"37_CR17","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-02431-3","volume-title":"Variational Analysis","author":"R Rockafellar","year":"1998","unstructured":"Rockafellar, R., Wets, R.B.: Variational Analysis. Springer, Heidelberg (1998)"},{"issue":"1","key":"37_CR18","first-page":"259","volume":"60","author":"LI Rudin","year":"1992","unstructured":"Rudin, L.I., Osher, S., Fatemi, E.: Nonlinear total variation based noise removal algorithms. IEEE Trans. Pattern Anal. Mach. Intell. 60(1), 259\u2013268 (1992)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"issue":"11","key":"37_CR19","first-page":"1582","volume":"5","author":"G Sapiro","year":"1996","unstructured":"Sapiro, G., Ringach, D.: Anisotropic diffusion of multivalued images with applications to color filtering. IEEE Trans. Pattern Anal. Mach. Intell. 5(11), 1582\u20131586 (1996)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"issue":"1","key":"37_CR20","first-page":"294","volume":"7","author":"E Strekalovskiy","year":"2014","unstructured":"Strekalovskiy, E., Chambolle, A., Cremers, D.: Convex relaxation of vectorial problems with coupled regularization. IEEE Trans. Pattern Anal. Mach. Intell. 7(1), 294\u2013336 (2014)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"37_CR21","unstructured":"Zach, C.: Dual decomposition for joint discrete-continuous optimization. In: AISTATS, pp. 632\u2013640 (2013)"},{"key":"37_CR22","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"crossref","first-page":"386","DOI":"10.1007\/978-3-642-33783-3_28","volume-title":"Computer Vision \u2013 ECCV 2012","author":"C Zach","year":"2012","unstructured":"Zach, C., Kohli, P.: A convex discrete-continuous approach for Markov random fields. In: Fitzgibbon, A., Lazebnik, S., Perona, P., Sato, Y., Schmid, C. (eds.) ECCV 2012, Part VI. LNCS, vol. 7577, pp. 386\u2013399. Springer, Heidelberg (2012)"}],"container-title":["Lecture Notes in Computer Science","Computer Vision \u2013 ECCV 2016"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-46448-0_37","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,19]],"date-time":"2024-06-19T11:34:43Z","timestamp":1718796883000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-46448-0_37"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016]]},"ISBN":["9783319464473","9783319464480"],"references-count":22,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-46448-0_37","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2016]]},"assertion":[{"value":"17 September 2016","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"ECCV","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"European Conference on Computer Vision","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Amsterdam","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"The Netherlands","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":"8 October 2016","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"16 October 2016","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"14","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"eccv2016","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"http:\/\/www.eccv2016.org\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"This content has been made available to all.","name":"free","label":"Free to read"}]}}