{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,31]],"date-time":"2026-07-31T23:33:31Z","timestamp":1785540811103,"version":"3.56.0"},"publisher-location":"Berlin, Heidelberg","reference-count":23,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783540338345","type":"print"},{"value":"9783540338352","type":"electronic"}],"license":[{"start":{"date-parts":[[2006,1,1]],"date-time":"2006-01-01T00:00:00Z","timestamp":1136073600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2006]]},"DOI":"10.1007\/11744047_21","type":"book-chapter","created":{"date-parts":[[2006,7,23]],"date-time":"2006-07-23T11:16:35Z","timestamp":1153653395000},"page":"269-282","source":"Crossref","is-referenced-by-count":95,"title":["Efficient Belief Propagation with Learned Higher-Order Markov Random Fields"],"prefix":"10.1007","author":[{"given":"Xiangyang","family":"Lan","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Stefan","family":"Roth","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Daniel","family":"Huttenlocher","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Michael J.","family":"Black","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","reference":[{"issue":"11","key":"21_CR1","doi-asserted-by":"publisher","first-page":"1222","DOI":"10.1109\/34.969114","volume":"23","author":"Y. Boykov","year":"2001","unstructured":"Boykov, Y., Veksler, O., Zabih, R.: Fast approximate energy minimization via graph cuts. IEEE PAMI\u00a023(11), 1222\u20131239 (2001)","journal-title":"IEEE PAMI"},{"issue":"9","key":"21_CR2","doi-asserted-by":"publisher","first-page":"1124","DOI":"10.1109\/TPAMI.2004.60","volume":"26","author":"Y. Boykov","year":"2004","unstructured":"Boykov, Y., Kolmogorov, V.: An experimental comparison of min-cut\/max-flow algorithms for energy minimization in vision. IEEE PAMI\u00a026(9), 1124\u20131137 (2004)","journal-title":"IEEE PAMI"},{"key":"21_CR3","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"82","DOI":"10.1007\/3-540-47977-5_6","volume-title":"Computer Vision - ECCV 2002","author":"V. Kolmogorov","year":"2002","unstructured":"Kolmogorov, V., Zabih, R.: Multi-camera scene reconstruction via graph cuts. In: Heyden, A., Sparr, G., Nielsen, M., Johansen, P. (eds.) ECCV 2002. LNCS, vol.\u00a02352, pp. 82\u201396. Springer, Heidelberg (2002)"},{"key":"21_CR4","doi-asserted-by":"crossref","unstructured":"Felzenszwalb, P.F., Huttenlocher, D.P.: Efficient belief propagation for early vision. In: CVPR, vol.\u00a01, pp. 261\u2013268 (2004)","DOI":"10.1109\/CVPR.2004.1315041"},{"key":"21_CR5","doi-asserted-by":"crossref","unstructured":"Tappen, M.F., Russell, B.C., Freeman, W.T.: Efficient graphical models for processing images. In: CVPR, vol.\u00a02, pp. 673\u2013680 (2004)","DOI":"10.1109\/CVPR.2004.1315229"},{"key":"21_CR6","unstructured":"Yedidia, J.S., Freeman, W.T., Weiss, Y.: Constructing free energy approximations and generalized belief propagation algorithms. Technical Report TR-2004-040, Mitsubishi Electric Research Laboratories, Cambridge, Massachusetts (2004)"},{"issue":"2","key":"21_CR7","doi-asserted-by":"publisher","first-page":"107","DOI":"10.1023\/A:1007925832420","volume":"27","author":"S.C. Zhu","year":"1998","unstructured":"Zhu, S.C., Wu, Y., Mumford, D.: Filters, random fields and maximum entropy (FRAME): Towards a unified theory for texture modeling. IJCV\u00a027(2), 107\u2013126 (1998)","journal-title":"IJCV"},{"issue":"6","key":"21_CR8","doi-asserted-by":"publisher","first-page":"925","DOI":"10.1109\/83.679446","volume":"7","author":"R. Paget","year":"1998","unstructured":"Paget, R., Longstaff, I.D.: Texture synthesis via a noncausal nonparametric multiscale Markov random field. IEEE T. Image Proc.\u00a07(6), 925\u2013931 (1998)","journal-title":"IEEE T. Image Proc."},{"key":"21_CR9","doi-asserted-by":"crossref","unstructured":"Roth, S., Black, M.J.: Fields of experts: A framework for learning image priors. In: CVPR, vol.\u00a02, pp. 860\u2013867 (2005)","DOI":"10.1109\/CVPR.2005.160"},{"key":"21_CR10","doi-asserted-by":"publisher","first-page":"721","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 images. IEEE PAMI\u00a06, 721\u2013741 (1984)","journal-title":"IEEE PAMI"},{"issue":"11","key":"21_CR11","doi-asserted-by":"publisher","first-page":"1110","DOI":"10.1109\/34.544081","volume":"18","author":"G.L. Gimel\u2019farb","year":"1996","unstructured":"Gimel\u2019farb, G.L.: Texture modeling by multiple pairwise pixel interactions. IEEE PAMI\u00a018(11), 1110\u20131114 (1996)","journal-title":"IEEE PAMI"},{"key":"21_CR12","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"124","DOI":"10.1007\/3-540-45296-6_9","volume-title":"3D Structure from Images - SMILE 2000","author":"A. Zalesny","year":"2001","unstructured":"Zalesny, A., van Gool, L.: A compact model for viewpoint dependent texture synthesis. In: Pollefeys, M., Van Gool, L., Zisserman, A., Fitzgibbon, A.W. (eds.) SMILE 2000. LNCS, vol.\u00a02018, pp. 124\u2013143. Springer, Heidelberg (2001)"},{"key":"21_CR13","unstructured":"Huang, J.: Statistics of Natural Images and Models. PhD thesis, Brown University (2000)"},{"key":"21_CR14","doi-asserted-by":"crossref","unstructured":"Hinton, G.E.: Products of experts. In: ICANN, vol.\u00a01, pp. 1\u20136 (1999)","DOI":"10.1049\/cp:19991075"},{"key":"21_CR15","doi-asserted-by":"crossref","unstructured":"Martin, D., Fowlkes, C., Tal, D., Malik, J.: A database of human segmented natural images and its application to evaluating segmentation algorithms and measuring ecological statistics. In: ICCV, vol.\u00a02, pp. 416\u2013423 (2001)","DOI":"10.1109\/ICCV.2001.937655"},{"issue":"8","key":"21_CR16","doi-asserted-by":"publisher","first-page":"1771","DOI":"10.1162\/089976602760128018","volume":"14","author":"G.E. Hinton","year":"2002","unstructured":"Hinton, G.E.: Training products of experts by minimizing contrastive divergence. Neur. Comp.\u00a014(8), 1771\u20131800 (2002)","journal-title":"Neur. Comp."},{"issue":"3","key":"21_CR17","doi-asserted-by":"publisher","first-page":"294","DOI":"10.1145\/1015706.1015718","volume":"23","author":"A. Agarwala","year":"2004","unstructured":"Agarwala, A., Dontcheva, M., Agrawala, M., Drucker, S., Colburn, A., Curless, B., Salesin, D.H., Cohen, M.: Interactive digital photomontage. ACM SIGGRAPH\u00a023(3), 294\u2013302 (2004)","journal-title":"ACM SIGGRAPH"},{"key":"21_CR18","doi-asserted-by":"crossref","unstructured":"Tappen, M.F., Freeman, W.T.: Comparison of graph cuts with belief propagation for stereo, using identical MRF parameters. In: ICCV, vol.\u00a02, pp. 900\u2013907 (2003)","DOI":"10.1109\/ICCV.2003.1238444"},{"issue":"2","key":"21_CR19","doi-asserted-by":"publisher","first-page":"498","DOI":"10.1109\/18.910572","volume":"47","author":"F.R. Kschischang","year":"2001","unstructured":"Kschischang, F.R., Frey, B.J., Loelinger, H.A.: Fractor graphs and the sum-product algorithm. IEEE T. Info. Th.\u00a047(2), 498\u2013519 (2001)","journal-title":"IEEE T. Info. Th."},{"issue":"7","key":"21_CR20","doi-asserted-by":"publisher","first-page":"787","DOI":"10.1109\/TPAMI.2003.1206509","volume":"25","author":"J. Sun","year":"2003","unstructured":"Sun, J., Zhen, N.N., Shum, H.Y.: Stereo matching using belief propagation. IEEE PAMI\u00a025(7), 787\u2013800 (2003)","journal-title":"IEEE PAMI"},{"issue":"1","key":"21_CR21","doi-asserted-by":"publisher","first-page":"57","DOI":"10.1007\/BF00131148","volume":"19","author":"M.J. Black","year":"1996","unstructured":"Black, M.J., Rangarajan, A.: On the unification of line processes, outlier rejection, and robust statistics with applications in early vision. IJCV\u00a019(1), 57\u201392 (1996)","journal-title":"IJCV"},{"issue":"11","key":"21_CR22","doi-asserted-by":"publisher","first-page":"1338","DOI":"10.1109\/TIP.2003.818640","volume":"12","author":"J. Portilla","year":"2003","unstructured":"Portilla, J., Strela, V., Wainwright, M.J., Simoncelli, E.P.: Image denoising using scale mixtures of Gaussians in the wavelet domain. IEEE T. Image Proc.\u00a012(11), 1338\u20131351 (2003)","journal-title":"IEEE T. Image Proc."},{"issue":"4","key":"21_CR23","doi-asserted-by":"publisher","first-page":"600","DOI":"10.1109\/TIP.2003.819861","volume":"13","author":"Z. Wang","year":"2004","unstructured":"Wang, Z., Bovik, A.C., Sheikh, H.R., Simoncelli, E.P.: Image quality assessment: From error visibility to structural similarity. IEEE T. Image Proc.\u00a013(4), 600\u2013612 (2004)","journal-title":"IEEE T. Image Proc."}],"container-title":["Lecture Notes in Computer Science","Computer Vision \u2013 ECCV 2006"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/11744047_21","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,1,10]],"date-time":"2025-01-10T01:28:23Z","timestamp":1736472503000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/11744047_21"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006]]},"ISBN":["9783540338345","9783540338352"],"references-count":23,"URL":"https:\/\/doi.org\/10.1007\/11744047_21","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006]]}}}