{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,6]],"date-time":"2024-09-06T06:23:14Z","timestamp":1725603794248},"publisher-location":"Berlin, Heidelberg","reference-count":12,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642231223"},{"type":"electronic","value":"9783642231230"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2011]]},"DOI":"10.1007\/978-3-642-23123-0_5","type":"book-chapter","created":{"date-parts":[[2011,8,31]],"date-time":"2011-08-31T18:29:37Z","timestamp":1314815377000},"page":"41-50","source":"Crossref","is-referenced-by-count":2,"title":["An Estimation Theoretical Approach to Ambrosio-Tortorelli Image Segmentation"],"prefix":"10.1007","author":[{"given":"Kai","family":"Krajsek","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ines","family":"Dedovic","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hanno","family":"Scharr","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"5_CR1","doi-asserted-by":"publisher","first-page":"999","DOI":"10.1002\/cpa.3160430805","volume":"43","author":"L. Ambrosio","year":"1990","unstructured":"Ambrosio, L., Tortorelli, V.: Approximation of functionals depending on jumps by elliptic functionals via \u03b3-convergence. Communications on Pure and Applied Mathematics\u00a043, 999\u20131036 (1990)","journal-title":"Communications on Pure and Applied Mathematics"},{"key":"5_CR2","doi-asserted-by":"publisher","first-page":"877","DOI":"10.1109\/TPAMI.1984.4767596","volume":"6","author":"S. Geman","year":"1984","unstructured":"Geman, S., Geman, D.: Stochastic relaxation, Gibbs distributions and the Bayesian restoration of the images. IEEE Transactions on Pattern Analysis and Machine Intelligence\u00a06, 877\u2013885 (1984)","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"issue":"1","key":"5_CR3","doi-asserted-by":"publisher","first-page":"97","DOI":"10.1093\/biomet\/57.1.97","volume":"57","author":"W.K. Hastings","year":"1970","unstructured":"Hastings, W.K.: Monte Carlo sampling methods using Markov chains and their applications. Biometrika\u00a057(1), 97\u2013109 (1970)","journal-title":"Biometrika"},{"key":"5_CR4","unstructured":"Kay, S.M.: Fundamentals of Statistical Signal Processing, Volume I: Estimation Theory. Prentice Hall Signal Processing Series (1993)"},{"key":"5_CR5","doi-asserted-by":"crossref","unstructured":"Krajsek, K., Menzel, M.I., Scharr, H.: Riemannian Bayesian estimation of diffusion tensor images. In: Proceedings of the 12th IEEE International Conference on Computer Vision (ICCV), pp. 2327\u20132334 (2009)","DOI":"10.1109\/ICCV.2009.5459431"},{"issue":"21","key":"5_CR6","doi-asserted-by":"publisher","first-page":"1087","DOI":"10.1063\/1.1699114","volume":"11","author":"N. Metropolis","year":"1953","unstructured":"Metropolis, N., Rosenbluth, A.W., Rosenbluth, M.N., Teller, A.H., Teller, E.: Equation of state calculations by fast computing machines. The Journal of Chemical Physics\u00a011(21), 1087\u20131091 (1953)","journal-title":"The Journal of Chemical Physics"},{"issue":"5","key":"5_CR7","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 approximations by piecewise smooth functions and associated variational problems. Communications on Pure and Applied Mathematics\u00a042(5), 577\u2013685 (1989)","journal-title":"Communications on Pure and Applied Mathematics"},{"key":"5_CR8","doi-asserted-by":"crossref","unstructured":"Paragios, N.K., Deriche, R.: A PDE-based level-set approach for detection and tracking of moving objects. In: Proceedings of the Sixth IEEE International Conference on Computer Vision (ICCV), pp. 1139\u20131145 (1998)","DOI":"10.1109\/ICCV.1998.710859"},{"key":"5_CR9","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"254","DOI":"10.1007\/978-3-642-15555-0_19","volume-title":"Computer Vision \u2013 ECCV 2010","author":"T. P\u00e4tz","year":"2010","unstructured":"P\u00e4tz, T., Preusser, T.: Ambrosio-tortorelli segmentation of stochastic images. In: Daniilidis, K., Maragos, P., Paragios, N. (eds.) ECCV 2010. LNCS, vol.\u00a06315, pp. 254\u2013267. Springer, Heidelberg (2010)"},{"key":"5_CR10","doi-asserted-by":"crossref","unstructured":"Pock, T., Cremers, D., Bischof, H., Chambolle, A.: An algorithm for minimizing the Mumford-Shah functional. In: Proceedings of the 12th IEEE International Conference on Computer Vision (ICCV), pp. 1133\u20131140 (2009)","DOI":"10.1109\/ICCV.2009.5459348"},{"key":"5_CR11","doi-asserted-by":"crossref","first-page":"325","DOI":"10.1111\/1467-9868.00288","volume":"63","author":"H. Rue","year":"2000","unstructured":"Rue, H., Held, L.: Fast sampling of Gaussian Markov random fields with applications. Journal of the Royal Statistical Society, Series B\u00a063, 325\u2013338 (2000)","journal-title":"Journal of the Royal Statistical Society, Series B"},{"key":"5_CR12","doi-asserted-by":"crossref","unstructured":"Scharr, H., Black, M.J., Haussecker, H.W.: Image statistics and anisotropic diffusion. In: Proceedings of the Ninth IEEE International Conference on Computer Vision (ICCV), pp. 840\u2013847 (2003)","DOI":"10.1109\/ICCV.2003.1238435"}],"container-title":["Lecture Notes in Computer Science","Pattern Recognition"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-23123-0_5.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,5,3]],"date-time":"2021-05-03T11:41:37Z","timestamp":1620042097000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-23123-0_5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011]]},"ISBN":["9783642231223","9783642231230"],"references-count":12,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-23123-0_5","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2011]]}}}