{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,28]],"date-time":"2025-02-28T05:33:58Z","timestamp":1740720838337,"version":"3.38.0"},"reference-count":27,"publisher":"Elsevier BV","issue":"15","license":[{"start":{"date-parts":[[2011,3,1]],"date-time":"2011-03-01T00:00:00Z","timestamp":1298937600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2015,3,25]],"date-time":"2015-03-25T00:00:00Z","timestamp":1427241600000},"content-version":"vor","delay-in-days":1485,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Theoretical Computer Science"],"published-print":{"date-parts":[[2011,3]]},"DOI":"10.1016\/j.tcs.2010.11.008","type":"journal-article","created":{"date-parts":[[2010,11,11]],"date-time":"2010-11-11T09:32:35Z","timestamp":1289467955000},"page":"1434-1441","source":"Crossref","is-referenced-by-count":2,"title":["Alpha Markov Measure Field model for probabilistic image segmentation"],"prefix":"10.1016","volume":"412","author":[{"given":"Oscar","family":"Dalmau","sequence":"first","affiliation":[]},{"given":"Mariano","family":"Rivera","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/j.tcs.2010.11.008_br000005","doi-asserted-by":"crossref","first-page":"577","DOI":"10.1002\/cpa.3160420503","article-title":"Optimal approximation by piecewise smooth functions and associated variational problem","author":"Mumford","year":"1989","journal-title":"Communications on Pure and Applied Mathematics"},{"key":"10.1016\/j.tcs.2010.11.008_br000010","doi-asserted-by":"crossref","first-page":"1269","DOI":"10.1109\/83.709660","article-title":"Variational image segmentation using boundary functions","volume":"7","author":"Hewer","year":"1998","journal-title":"IEEE Transactions on Image Processing"},{"key":"10.1016\/j.tcs.2010.11.008_br000015","doi-asserted-by":"crossref","unstructured":"Y. Weiss, Segmentation using eigenvectors: a unifying view, in: ICCV, vol. 2, 1999, pp. 975\u2013982.","DOI":"10.1109\/ICCV.1999.790354"},{"key":"10.1016\/j.tcs.2010.11.008_br000020","series-title":"MICCAI","first-page":"276","article-title":"Interactive organ segmentation using graph cuts","volume":"vol. 1935","author":"Boykov","year":"2000"},{"issue":"8","key":"10.1016\/j.tcs.2010.11.008_br000025","doi-asserted-by":"crossref","first-page":"888","DOI":"10.1109\/34.868688","article-title":"Normalized cuts and image segmentation","volume":"22","author":"Shi","year":"2000","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"issue":"3","key":"10.1016\/j.tcs.2010.11.008_br000030","doi-asserted-by":"crossref","first-page":"461","DOI":"10.1016\/S0165-1684(01)00196-7","article-title":"Color image segmentation using fuzzy c-means and eigenspace projections","volume":"82","author":"Yang","year":"2002","journal-title":"Signal Processing"},{"key":"10.1016\/j.tcs.2010.11.008_br000035","doi-asserted-by":"crossref","first-page":"9","DOI":"10.1016\/j.compmedimag.2005.10.001","article-title":"Fuzzy c-means clustering with spatial information for image segmentation","volume":"30","author":"Chuang","year":"2006","journal-title":"Computerized Medical Imaging and Graphics"},{"key":"10.1016\/j.tcs.2010.11.008_br000040","doi-asserted-by":"crossref","unstructured":"J.L. Marroquin, S. Botello, F. Calderon, B.C. Vemuri, MPM-MAP algorithm for image segmentation, in: International Conference on Pattern Recognition, ICPR\u201900, vol. 1, 2000, pp. 300\u2013310.","DOI":"10.1109\/ICPR.2000.905330"},{"key":"10.1016\/j.tcs.2010.11.008_br000045","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1109\/34.917570","article-title":"Gauss\u2013Markov measure field models for low-level vision","volume":"23","author":"Marroquin","year":"2001","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"key":"10.1016\/j.tcs.2010.11.008_br000050","doi-asserted-by":"crossref","first-page":"1380","DOI":"10.1109\/TPAMI.2003.1240112","article-title":"Hidden Markov measure field models for image segmentation","volume":"25","author":"Marroquin","year":"2003","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"key":"10.1016\/j.tcs.2010.11.008_br000055","doi-asserted-by":"crossref","first-page":"3047","DOI":"10.1109\/TIP.2007.909384","article-title":"Entropy-controlled quadratic Markov measure field models for efficient image segmentation","volume":"16","author":"Rivera","year":"2007","journal-title":"IEEE Transactions on Image Processing"},{"key":"10.1016\/j.tcs.2010.11.008_br000060","series-title":"IWCIA","first-page":"149","article-title":"A general Bayesian Markov random field model for probabilistic image segmentation","volume":"vol. 5852","author":"Cede\u00f1o","year":"2009"},{"key":"10.1016\/j.tcs.2010.11.008_br000065","doi-asserted-by":"crossref","DOI":"10.1109\/TIP.2007.909384","article-title":"Entropy controlled quadratic Markov measure field models for efficient image segmentation","author":"Rivera","year":"2007","journal-title":"IEEE Transactions on Image Processing"},{"key":"10.1016\/j.tcs.2010.11.008_br000070","doi-asserted-by":"crossref","unstructured":"O. Dalmau, M. Rivera, T. Alarcon, Bayesian scheme for interactive colourization, recolourization and image\/video editing, Computer Graphics Forum (2010) (in press).","DOI":"10.1111\/j.1467-8659.2010.01751.x"},{"key":"10.1016\/j.tcs.2010.11.008_br000075","first-page":"181","article-title":"Functional measures in information theory","volume":"17","author":"Sharma","year":"1974","journal-title":"Funckcialaj Ekvacioj"},{"key":"10.1016\/j.tcs.2010.11.008_br000080","doi-asserted-by":"crossref","first-page":"317","DOI":"10.21136\/AM.1978.103759","article-title":"On generalized measures of relative information and inaccuracy","volume":"23","author":"Taneja","year":"1978","journal-title":"Applications of Mathematics"},{"key":"10.1016\/j.tcs.2010.11.008_br000085","doi-asserted-by":"crossref","first-page":"629","DOI":"10.1109\/34.56205","article-title":"Scale-space and edge detection using anisotropic diffusion","volume":"12","author":"Perona","year":"1990","journal-title":"IEEE Transactions on Pattern Analysis and Machine Intelligence"},{"key":"10.1016\/j.tcs.2010.11.008_br000090","doi-asserted-by":"crossref","unstructured":"O. Dalmau, M. Rivera, P.P. Mayorga, Computing the alpha-channel with probabilistic segmentation for image colorization, in: IEEE Proc. Workshop in Interactive Computer Vision, ICV\u201907, 2007, pp. 1\u20137.","DOI":"10.1109\/ICCV.2007.4409120"},{"year":"2000","series-title":"Numerical Optimization","author":"Nocedal","key":"10.1016\/j.tcs.2010.11.008_br000095"},{"key":"10.1016\/j.tcs.2010.11.008_br000100","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1111\/j.2517-6161.1986.tb01412.x","article-title":"On the statistical analysis of dirty pictures","volume":"48","author":"Besag","year":"1986","journal-title":"Journal of the Royal Statistical Society. Series B. Statistical Methodology"},{"key":"10.1016\/j.tcs.2010.11.008_br000105","doi-asserted-by":"crossref","first-page":"184","DOI":"10.1111\/j.2517-6161.1961.tb00404.x","article-title":"Inaccuracy and inference","volume":"23","author":"Kerrigde","year":"1961","journal-title":"Journal of the Royal Statistical Society. Series B"},{"key":"10.1016\/j.tcs.2010.11.008_br000110","doi-asserted-by":"crossref","unstructured":"Y. Boykov, M.P. Jolly, Interactive graph cut for optimal boundary & region segmentation of objects in N\u2013D images, in: ICIP, vol. 1, 2001, pp. 105\u2013112.","DOI":"10.1109\/ICCV.2001.937505"},{"key":"10.1016\/j.tcs.2010.11.008_br000115","doi-asserted-by":"crossref","unstructured":"M. Rivera, P.P. Mayorga, Comparative study on quadratic Markovian probability fields for image binary segmentation, Tech. Rep. I-07-15, Centro de Investigacion en Matematicas, A.C., Dec 2007.","DOI":"10.1109\/ICCV.2007.4409119"},{"key":"10.1016\/j.tcs.2010.11.008_br000125","doi-asserted-by":"crossref","first-page":"308","DOI":"10.1093\/comjnl\/7.4.308","article-title":"A simplex method for function minimization","volume":"7","author":"Nelder","year":"1965","journal-title":"Computer Journal"},{"year":"1992","series-title":"Numerical Recipes in C (2nd ed.): The Art of Scientific Computing","author":"Press","key":"10.1016\/j.tcs.2010.11.008_br000130"},{"year":"2001","series-title":"Markov Random Field Modeling in Image Analysis","author":"Li","key":"10.1016\/j.tcs.2010.11.008_br000135"},{"year":"2001","series-title":"The Elements of Statistical Learning","author":"Hastie","key":"10.1016\/j.tcs.2010.11.008_br000140"}],"container-title":["Theoretical Computer Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0304397510006195?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0304397510006195?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2025,2,27]],"date-time":"2025-02-27T19:12:39Z","timestamp":1740683559000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0304397510006195"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,3]]},"references-count":27,"journal-issue":{"issue":"15","published-print":{"date-parts":[[2011,3]]}},"alternative-id":["S0304397510006195"],"URL":"https:\/\/doi.org\/10.1016\/j.tcs.2010.11.008","relation":{},"ISSN":["0304-3975"],"issn-type":[{"type":"print","value":"0304-3975"}],"subject":[],"published":{"date-parts":[[2011,3]]}}}