{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,3,10]],"date-time":"2024-03-10T16:40:13Z","timestamp":1710088813091},"reference-count":16,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2009,2,14]],"date-time":"2009-02-14T00:00:00Z","timestamp":1234569600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Math Imaging Vis"],"published-print":{"date-parts":[[2009,6]]},"DOI":"10.1007\/s10851-009-0139-0","type":"journal-article","created":{"date-parts":[[2009,2,16]],"date-time":"2009-02-16T09:50:20Z","timestamp":1234777820000},"page":"152-164","source":"Crossref","is-referenced-by-count":2,"title":["Segmentation, Classification and Denoising of a Time Series Field by a Variational Method"],"prefix":"10.1007","volume":"34","author":[{"given":"Piero","family":"Barone","sequence":"first","affiliation":[]},{"given":"Maria Francesca","family":"Carfora","sequence":"additional","affiliation":[]},{"given":"Riccardo","family":"March","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2009,2,14]]},"reference":[{"key":"139_CR1","series-title":"Oxford Math. Monogr.","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 Math. Monogr. Oxford University Press, London (2000)"},{"key":"139_CR2","doi-asserted-by":"crossref","first-page":"999","DOI":"10.1002\/cpa.3160430805","volume":"43","author":"L. Ambrosio","year":"1990","unstructured":"Ambrosio, L., Tortorelli, V.M.: Approximation of functionals depending on jumps by elliptic functionals via \u0393-convergence. Commun. Pure Appl. Math. 43, 999\u20131036 (1990)","journal-title":"Commun. Pure Appl. Math."},{"key":"139_CR3","first-page":"105","volume":"6-B","author":"L. Ambrosio","year":"1992","unstructured":"Ambrosio, L., Tortorelli, V.M.: On the approximation of free discontinuity problems. Boll. Unione Mat. Ital. 6-B, 105\u2013123 (1992)","journal-title":"Boll. Unione Mat. Ital."},{"key":"139_CR4","doi-asserted-by":"crossref","first-page":"1128","DOI":"10.1137\/S0036142902412336","volume":"42","author":"G. Aubert","year":"2004","unstructured":"Aubert, G., Blanc-Feraud, L., March, R.: Gamma-convergence of discrete functionals with non convex perturbation for image classification. SIAM J. Numer. Anal. 42, 1128\u20131145 (2004)","journal-title":"SIAM J. Numer. Anal."},{"key":"139_CR5","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1016\/S0294-1449(16)30304-3","volume":"7","author":"S. Baldo","year":"1990","unstructured":"Baldo, S.: Minimal interface criterion for phase transitions in mixtures of Cahn-Hilliard fluids. Ann. Inst. Henri Poincar\u00e9, Anal. Non Lineaire 7, 67\u201390 (1990)","journal-title":"Ann. Inst. Henri Poincar\u00e9, Anal. Non Lineaire"},{"key":"139_CR6","doi-asserted-by":"crossref","first-page":"727","DOI":"10.1088\/0266-5611\/22\/3\/001","volume":"22","author":"P. Barone","year":"2006","unstructured":"Barone, P.: Fast tissue classification in dynamic contrast enhanced magnetic resonance images. Inverse Probl. 22, 727\u2013747 (2006)","journal-title":"Inverse Probl."},{"key":"139_CR7","doi-asserted-by":"crossref","first-page":"573","DOI":"10.1137\/S1052623402406789","volume":"15","author":"P. Barone","year":"2005","unstructured":"Barone, P., Caramia, M.: A fast automatic algorithm for image denoising by a regularization method. SIAM J. Optim. 15, 573\u2013592 (2005)","journal-title":"SIAM J. Optim."},{"key":"139_CR8","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1080\/01630569408816562","volume":"15","author":"G. Bellettini","year":"1994","unstructured":"Bellettini, G., Coscia, A.: Discrete approximation of a free discontinuity problem. Numer. Funct. Anal. Optim. 15, 105\u2013123 (1994)","journal-title":"Numer. Funct. Anal. Optim."},{"key":"139_CR9","series-title":"Progress in Nonlinear Differential Equations and Their Applications","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-0327-8","volume-title":"An Introduction to \u0393-Convergence","author":"G. Dal Maso","year":"1993","unstructured":"Dal Maso, G.: An Introduction to \u0393-Convergence. Progress in Nonlinear Differential Equations and Their Applications, vol.\u00a08. Birkh\u00e4user, Basel (1993)"},{"key":"139_CR10","first-page":"1","volume":"53","author":"F. Pasquale De","year":"2004","unstructured":"De Pasquale, F., Barone, P., Sebastiani, G., Stander, J.: Bayesian analysis of dynamic magnetic resonance breast images. Appl. Stat. 53, 1\u201319 (2004)","journal-title":"Appl. Stat."},{"key":"139_CR11","doi-asserted-by":"crossref","first-page":"663","DOI":"10.1142\/S0218202501001045","volume":"11","author":"M. Focardi","year":"2001","unstructured":"Focardi, M.: On the variational approximation of free-discontinuity problems in the vectorial case. Math. Models Methods Appl. Sci. 11, 663\u2013684 (2001)","journal-title":"Math. Models Methods Appl. Sci."},{"key":"139_CR12","doi-asserted-by":"crossref","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, Basel (1984)"},{"key":"139_CR13","doi-asserted-by":"crossref","first-page":"506","DOI":"10.1002\/mrm.1910330408","volume":"33","author":"U. Hoffmann","year":"1995","unstructured":"Hoffmann, U., Brix, G., Knopp, M.V., Heb, T., Lorenz, V.J.: Pharmacokinetic mapping of the breast: a new method for dynamic MR mammography. Magnetic Reson. Med. 33, 506\u2013514 (1995)","journal-title":"Magnetic Reson. Med."},{"key":"139_CR14","doi-asserted-by":"crossref","first-page":"577","DOI":"10.1002\/cpa.3160420503","volume":"42","author":"D. Mumford","year":"1989","unstructured":"Mumford, D., Shah, J.: Optimal approximations by piecewise smooth functions and associated variational problems. Commun. Pure Appl. Math. 42, 577\u2013685 (1989)","journal-title":"Commun. Pure Appl. Math."},{"key":"139_CR15","doi-asserted-by":"crossref","first-page":"856","DOI":"10.1137\/0907058","volume":"7","author":"Y. Saad","year":"1986","unstructured":"Saad, Y., Schultz, M.H.: GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J. Sci. Stat. Comput. 7, 856\u2013869 (1986)","journal-title":"SIAM J. Sci. Stat. Comput."},{"key":"139_CR16","doi-asserted-by":"crossref","first-page":"460","DOI":"10.1109\/34.857003","volume":"22","author":"C. Samson","year":"2000","unstructured":"Samson, C., Blanc-Feraud, L., Aubert, G., Zerubia, J.: A variational model for image classification and restoration. IEEE Trans. PAMI 22, 460\u2013472 (2000)","journal-title":"IEEE Trans. PAMI"}],"container-title":["Journal of Mathematical Imaging and Vision"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10851-009-0139-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10851-009-0139-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10851-009-0139-0","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,10]],"date-time":"2024-03-10T16:06:01Z","timestamp":1710086761000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10851-009-0139-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,2,14]]},"references-count":16,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2009,6]]}},"alternative-id":["139"],"URL":"https:\/\/doi.org\/10.1007\/s10851-009-0139-0","relation":{},"ISSN":["0924-9907","1573-7683"],"issn-type":[{"value":"0924-9907","type":"print"},{"value":"1573-7683","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,2,14]]}}}