{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T16:31:11Z","timestamp":1772296271588,"version":"3.50.1"},"reference-count":86,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2008,7,24]],"date-time":"2008-07-24T00:00:00Z","timestamp":1216857600000},"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":[[2009,1]]},"DOI":"10.1007\/s10851-008-0109-y","type":"journal-article","created":{"date-parts":[[2008,7,23]],"date-time":"2008-07-23T20:27:24Z","timestamp":1216844844000},"page":"67-84","source":"Crossref","is-referenced-by-count":18,"title":["Mumford-Shah Regularizer with Contextual Feedback"],"prefix":"10.1007","volume":"33","author":[{"given":"Erkut","family":"Erdem","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sibel","family":"Tari","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2008,7,24]]},"reference":[{"key":"109_CR1","unstructured":"Symposium on the Role of Context in Recognition, European Conference on Visual Perception, August 2005"},{"issue":"1","key":"109_CR2","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1007\/s10851-007-0015-8","volume":"28","author":"M. Aleman-Flores","year":"2007","unstructured":"Aleman-Flores, M., Alvarez, L., Caselles, V.: Texture-oriented anisotropic filtering and geodesic active contours in breast tumor ultrasound segmentation. J.\u00a0Math. Imaging Vis. 28(1), 81\u201397 (2007)","journal-title":"J.\u00a0Math. Imaging Vis."},{"issue":"1","key":"109_CR3","doi-asserted-by":"crossref","first-page":"17","DOI":"10.4171\/IFB\/2","volume":"1","author":"R. Alicandro","year":"1999","unstructured":"Alicandro, R., Braides, A., Shah, J.: Free-discontinuity problems via functionals involving the L 1-norm of the gradient and their approximation. Interfaces Free Bound. 1(1), 17\u201337 (1999)","journal-title":"Interfaces Free Bound."},{"issue":"8","key":"109_CR4","doi-asserted-by":"crossref","first-page":"999","DOI":"10.1002\/cpa.3160430805","volume":"43","author":"L. Ambrosio","year":"1990","unstructured":"Ambrosio, L., Tortorelli, V.: On the approximation of functionals depending on jumps by elliptic functionals via \u0393-convergence. Commun. Pure Appl. Math. 43(8), 999\u20131036 (1990)","journal-title":"Commun. Pure Appl. Math."},{"key":"109_CR5","doi-asserted-by":"crossref","unstructured":"Aslan, C., Tari, S.: An axis-based representation for recognition. In: ICCV, vol.\u00a02, pp.\u00a01339\u20131346 (2005)","DOI":"10.1109\/ICCV.2005.32"},{"issue":"1","key":"109_CR6","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1007\/s10851-005-4783-8","volume":"22","author":"J.-F. Aujol","year":"2005","unstructured":"Aujol, J.-F., Aubert, G., Chambolle, A.: Image decomposition into a bounded variation component and an oscillating component. J. Math. Imaging Vis. 22(1), 71\u201388 (2005)","journal-title":"J. Math. Imaging Vis."},{"issue":"3","key":"109_CR7","doi-asserted-by":"crossref","first-page":"279","DOI":"10.1007\/s11263-006-6468-1","volume":"70","author":"L. Bar","year":"2006","unstructured":"Bar, L., Kiryati, N., Sochen, N.: Image deblurring in the presence of impulsive noise. Int. J. Comput. Vis. 70(3), 279\u2013298 (2006)","journal-title":"Int. J. Comput. Vis."},{"key":"109_CR8","doi-asserted-by":"crossref","unstructured":"Bar, L., Sochen, N., Kiryati, N.: Image deblurring in the presence of salt-and-pepper noise. In: Scale-Space, pp.\u00a0107\u2013118 (2005)","DOI":"10.1007\/11408031_10"},{"key":"109_CR9","doi-asserted-by":"crossref","first-page":"617","DOI":"10.1038\/nrn1476","volume":"5","author":"M. Bar","year":"2004","unstructured":"Bar, M.: Visual objects in context. Nat. Rev. Neurosci. 5, 617\u2013629 (2004)","journal-title":"Nat. Rev. Neurosci."},{"key":"109_CR10","doi-asserted-by":"crossref","first-page":"2041","DOI":"10.1162\/0899766041732404","volume":"16","author":"P. Bayerl","year":"2004","unstructured":"Bayerl, P., Neumann, H.: Disambiguating visual motion through contextual feedback modulation. Neural Comput. 16, 2041\u20132066 (2004)","journal-title":"Neural Comput."},{"issue":"1","key":"109_CR11","doi-asserted-by":"crossref","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. Int. J. Comput. Vis. 19(1), 57\u201391 (1996)","journal-title":"Int. J. Comput. Vis."},{"key":"109_CR12","doi-asserted-by":"crossref","unstructured":"Black, M.J., Sapiro, G.: Edges as outliers: anisotropic smoothing using local image statistics. In: Scale-Space, pp.\u00a0259\u2013270 (1999)","DOI":"10.1007\/3-540-48236-9_23"},{"issue":"3","key":"109_CR13","doi-asserted-by":"crossref","first-page":"421","DOI":"10.1109\/83.661192","volume":"7","author":"M.J. Black","year":"1998","unstructured":"Black, M.J., Sapiro, G., Marimont, D.H., Heeger, D.: Robust anisotropic diffusion. IEEE Trans. Image Process. 7(3), 421\u2013432 (1998)","journal-title":"IEEE Trans. Image Process."},{"key":"109_CR14","doi-asserted-by":"crossref","DOI":"10.7551\/mitpress\/7132.001.0001","volume-title":"Visual Reconstruction","author":"A. Blake","year":"1987","unstructured":"Blake, A., Zisserman, A.: Visual Reconstruction. MIT Press, Cambridge (1987)"},{"key":"109_CR15","series-title":"Lecture Notes in Mathematics","doi-asserted-by":"crossref","DOI":"10.1007\/BFb0097344","volume-title":"Approximation of Free-Discontinuity Problems","author":"A. Braides","year":"1998","unstructured":"Braides, A.: Approximation of Free-Discontinuity Problems. Lecture Notes in Mathematics, vol.\u00a01694. Springer, Berlin (1998)"},{"issue":"3","key":"109_CR16","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1023\/A:1022895410391","volume":"18","author":"A. Brook","year":"2003","unstructured":"Brook, A., Kimmel, R., Sochen, N.A.: Variational restoration and edge detection for color images. J.\u00a0Math. Imaging Vis. 18(3), 247\u2013268 (2003)","journal-title":"J.\u00a0Math. Imaging Vis."},{"key":"109_CR17","doi-asserted-by":"crossref","unstructured":"Brox, T., Bruhn, A., Papenberg, N., Weickert, J.: High accuracy optical flow estimation based on a theory for warping. In: ECCV, vol.\u00a04, pp.\u00a025\u201336 (2004)","DOI":"10.1007\/978-3-540-24673-2_3"},{"key":"109_CR18","doi-asserted-by":"crossref","unstructured":"Brox, T., Cremers, D.: On the statistical interpretation of the piecewise smooth Mumford-Shah functional. In: SSVM, pp.\u00a0203\u2013213 (2007)","DOI":"10.1007\/978-3-540-72823-8_18"},{"issue":"5","key":"109_CR19","doi-asserted-by":"crossref","first-page":"1053","DOI":"10.1016\/j.jvcir.2005.06.001","volume":"17","author":"T. Brox","year":"2006","unstructured":"Brox, T., Weickert, J.: A TV flow based local scale estimate and its application to texture discrimination. J.\u00a0Vis. Commun. Image Represent. 17(5), 1053\u20131073 (2006)","journal-title":"J.\u00a0Vis. Commun. Image Represent."},{"key":"109_CR20","doi-asserted-by":"crossref","unstructured":"Buades, A., Coll, B., Morel, J.-M.: A non-local algorithm for image denoising. In: CVPR, vol.\u00a02, pp.\u00a060\u201365 (2005)","DOI":"10.1109\/CVPR.2005.38"},{"key":"109_CR21","first-page":"325","volume-title":"Image Processing Based on Partial Differential Equations, Mathematics and Visualization","author":"B. Burgeth","year":"2006","unstructured":"Burgeth, B., Weickert, J., Tari, S.: Minimally stochastic schemes for singular diffusion equations. In: Tai, X.-C., Lie, K.-A., Chan, T.F., Osher, S. (eds.) Image Processing Based on Partial Differential Equations, Mathematics and Visualization, pp.\u00a0325\u2013339. Springer, Berlin (2006)"},{"issue":"6","key":"109_CR22","doi-asserted-by":"crossref","first-page":"679","DOI":"10.1109\/TPAMI.1986.4767851","volume":"8","author":"J. Canny","year":"1986","unstructured":"Canny, J.: A computational approach to edge detection. IEEE Trans. Pattern Anal. Mach. Intell. 8(6), 679\u2013698 (1986)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"issue":"10","key":"109_CR23","doi-asserted-by":"crossref","first-page":"1479","DOI":"10.1109\/TIP.2005.852196","volume":"14","author":"R.H. Chan","year":"2005","unstructured":"Chan, R.H., Ho, C.-W., Nikolova, M.: Salt-and-pepper noise removal by median-type noise detectors and detail-preserving regularization. IEEE Trans. Image Process. 14(10), 1479\u20131485 (2005)","journal-title":"IEEE Trans. Image Process."},{"key":"109_CR24","doi-asserted-by":"crossref","unstructured":"Chan, T., Esedoglu, S., Ni, K.: Histogram based segmentation using Wasserstein distances. In: SSVM, pp.\u00a0697\u2013708 (2007)","DOI":"10.1007\/978-3-540-72823-8_60"},{"issue":"2","key":"109_CR25","doi-asserted-by":"crossref","first-page":"130","DOI":"10.1006\/jvci.1999.0442","volume":"11","author":"T.F. Chan","year":"2000","unstructured":"Chan, T.F., Sandberg, B.Y., Vese, L.A.: Active contours without edges for vector-valued images. J.\u00a0Vis. Commun. Image Represent. 11(2), 130\u2013141 (2000)","journal-title":"J.\u00a0Vis. Commun. Image Represent."},{"key":"109_CR26","doi-asserted-by":"crossref","unstructured":"Chen, S., Yang, X.: A variational method with a noise detector for impulse noise removal. In: SSVM, pp.\u00a0442\u2013450 (2007)","DOI":"10.1007\/978-3-540-72823-8_38"},{"issue":"3","key":"109_CR27","doi-asserted-by":"crossref","first-page":"315","DOI":"10.1023\/A:1020878408985","volume":"50","author":"Y. Chen","year":"2002","unstructured":"Chen, Y., Tagare, H.D., Thiruvenkadam, S., Huang, F., Wilson, D., Gopinath, K.S., Briggs, R.W., Geiser, E.A.: Using prior shapes in geometric active contours in a variational framework. Int. J. Comput. Vis. 50(3), 315\u2013328 (2002)","journal-title":"Int. J. Comput. Vis."},{"issue":"3","key":"109_CR28","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1023\/A:1020826424915","volume":"50","author":"D. Cremers","year":"2002","unstructured":"Cremers, D., Tischh\u00e4user, F., Weickert, J., Schn\u00f6rr, C.: Diffusion snakes: introducing statistical shape knowledge into the Mumford-Shah functional. Int. J. Comput. Vis. 50(3), 295\u2013313 (2002)","journal-title":"Int. J. Comput. Vis."},{"issue":"3","key":"109_CR29","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1007\/s10851-006-8803-0","volume":"26","author":"J. Darbon","year":"2006","unstructured":"Darbon, J., Sigelle, M.: Image restoration with discrete constrained total variation, part\u00a0I: fast and exact optimization. J. Math. Imaging Vis. 26(3), 261\u2013276 (2006)","journal-title":"J. Math. Imaging Vis."},{"issue":"3","key":"109_CR30","doi-asserted-by":"crossref","first-page":"277","DOI":"10.1007\/s10851-006-0644-3","volume":"26","author":"J. Darbon","year":"2006","unstructured":"Darbon, J., Sigelle, M.: Image restoration with discrete constrained total variation, part\u00a0II: levelable functions, convex priors and non-convex cases. J.\u00a0Math. Imaging Vis. 26(3), 277\u2013291 (2006)","journal-title":"J.\u00a0Math. Imaging Vis."},{"key":"109_CR31","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1007\/s10851-006-7451-8","volume":"25","author":"J. Debayle","year":"2006","unstructured":"Debayle, J., Pinoli, J.C.: General adaptive neighborhood image processing: part\u00a0I. J.\u00a0Math. Imaging Vis. 25, 245\u2013266 (2006)","journal-title":"J.\u00a0Math. Imaging Vis."},{"key":"109_CR32","doi-asserted-by":"crossref","unstructured":"Deng, G.: Symbol mapping and context filtering for lossless image compression. In: ICIP, vol.\u00a01, pp.\u00a0526\u2013529 (1998)","DOI":"10.1109\/ICIP.1998.723554"},{"issue":"1","key":"109_CR33","doi-asserted-by":"crossref","first-page":"7","DOI":"10.1023\/A:1026593302236","volume":"40","author":"A. Desolneux","year":"2000","unstructured":"Desolneux, A., Moisan, L., Morel, J.-M.: Meaningful alignments. Int. J. Comput. Vis. 40(1), 7\u201323 (2000)","journal-title":"Int. J. Comput. Vis."},{"key":"109_CR34","series-title":"Interdisciplinary Applied Mathematics","volume-title":"From Gestalt Theory to Image Analysis: A Probabilistic Approach","author":"A. Desolneux","year":"2007","unstructured":"Desolneux, A., Moisan, L., Morel, J.-M.: From Gestalt Theory to Image Analysis: A Probabilistic Approach. Interdisciplinary Applied Mathematics, vol.\u00a035. Springer, New York (2007)"},{"key":"109_CR35","doi-asserted-by":"crossref","unstructured":"Erdem, E., Erdem, A., Tari, S.: Edge strength functions as shape priors in image segmentation. In: EMMCVPR, pp.\u00a0490\u2013502 (2005)","DOI":"10.1007\/11585978_32"},{"key":"109_CR36","doi-asserted-by":"crossref","unstructured":"Erdem, E., Sancar Yilmaz, A., Tari, S.: Mumford-Shah regularizer with spatial coherence. In: SSVM, pp.\u00a0545\u2013555 (2007)","DOI":"10.1007\/978-3-540-72823-8_47"},{"key":"109_CR37","doi-asserted-by":"crossref","first-page":"353","DOI":"10.1017\/S0956792502004904","volume":"13","author":"S. Esedoglu","year":"2002","unstructured":"Esedoglu, S., Shen, J.: Digital image inpainting by the Mumford-Shah-Euler image model. Eur. J. Appl. Math. 13, 353\u2013370 (2002)","journal-title":"Eur. J. Appl. Math."},{"key":"109_CR38","volume-title":"Three-Dimensional Computer Vision","author":"O. Faugeras","year":"1993","unstructured":"Faugeras, O.: Three-Dimensional Computer Vision. MIT Press, Cambridge (1993), Chap.\u00a04.2"},{"key":"109_CR39","doi-asserted-by":"crossref","unstructured":"Galun, M., Sharon, E., Basri, R., Brandt, A.: Texture segmentation by multiscale aggregation of filter responses and shape elements. In: ICCV, vol.\u00a01, pp.\u00a0716\u2013723 (2003)","DOI":"10.1109\/ICCV.2003.1238418"},{"key":"109_CR40","doi-asserted-by":"crossref","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 Trans. Pattern Anal. Mach. Intell. 6, 721\u2013639 (1984)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"key":"109_CR41","doi-asserted-by":"crossref","unstructured":"Gilboa, G., Darbon, J., Osher, S., Chan, T.: Nonlocal convex functionals for image regularization. UCLA CAM-report 06-57 (2006)","DOI":"10.1117\/12.714701"},{"issue":"8","key":"109_CR42","doi-asserted-by":"crossref","first-page":"2281","DOI":"10.1109\/TIP.2006.875247","volume":"15","author":"G. Gilboa","year":"2006","unstructured":"Gilboa, G., Sochen, N., Zeevi, Y.Y.: Variational denoising of partly textured images by spatially varying constraints. IEEE Trans. Image Process. 15(8), 2281\u20132289 (2006)","journal-title":"IEEE Trans. Image Process."},{"key":"109_CR43","doi-asserted-by":"crossref","unstructured":"Haralick, R.M., Lee, J.S.J.: Context dependent edge detection. In: CVPR, pp. 223\u2013228 (1988)","DOI":"10.1109\/CVPR.1988.196240"},{"issue":"1","key":"109_CR44","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1007\/s11263-005-4944-7","volume":"63","author":"M. Heiler","year":"2005","unstructured":"Heiler, M., Schn\u00f6rr, C.: Natural image statistics for natural image segmentation. Int. J. Comput. Vis. 63(1), 5\u201319 (2005)","journal-title":"Int. J. Comput. Vis."},{"key":"109_CR45","doi-asserted-by":"crossref","unstructured":"Hofmann, T., Puzicha, J., Buhmann, J.M.: An optimization approach to unsupervised hierarchical texture segmentation. In: ICIP, vol.\u00a03, pp.\u00a0213\u2013216 (1997)","DOI":"10.1109\/ICIP.1997.632061"},{"key":"109_CR46","doi-asserted-by":"crossref","unstructured":"Hong, B.-W., Prados, E., Soatto, S., Vese, L.: Shape representation based on integral kernels: Application to image matching and segmentation. In: CVPR, vol.\u00a01, pp.\u00a0833\u2013840 (2006)","DOI":"10.1109\/CVPR.2006.277"},{"key":"109_CR47","unstructured":"Kaufhold, J.P.: Energy formulations of medical image segmentations. PhD thesis, Boston University College of Engineering, Department of Biomedical Engineering, Boston, MA (2000)"},{"key":"109_CR48","doi-asserted-by":"crossref","unstructured":"Kokkinos, I., Evangelopoulos, G., Maragos, P.: Texture analysis and segmentation using modulation features, generative models and weighted curve evolution. IEEE Trans. Pattern Anal. Mach. Intell. (to appear)","DOI":"10.1109\/TPAMI.2008.33"},{"key":"109_CR49","doi-asserted-by":"crossref","unstructured":"Lai, G.C., de Figueiredo, R.J.P.: Image interpretation using contextual feedback. In: ICIP, vol.\u00a02, p.\u00a02623 (1995)","DOI":"10.1109\/ICIP.1995.537556"},{"key":"109_CR50","doi-asserted-by":"crossref","unstructured":"Leventon, M.E., Grimson, E.L., Faugeras, O.D.: Statistical shape influence in geodesic active contours. In: CVPR, pp.\u00a01316\u20131323 (2000)","DOI":"10.1109\/CVPR.2000.855835"},{"key":"109_CR51","doi-asserted-by":"crossref","unstructured":"Lombardi, P., Cantoni, V., Zavidovique, B.: Context in robotic vision: Control for real-time adaptation. In: ICINCO, vol.\u00a03, pp.\u00a0135\u2013142 (2004)","DOI":"10.5220\/0001143601350142"},{"key":"109_CR52","volume-title":"Vision: A Computational Investigation into the Human Representation and Processing of Visual Information","author":"D. Marr","year":"1982","unstructured":"Marr, D.: Vision: A Computational Investigation into the Human Representation and Processing of Visual Information. Freeman, San Francisco (1982)"},{"key":"109_CR53","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.\u00a0416\u2013423 (2001)","DOI":"10.1109\/ICCV.2001.937655"},{"key":"109_CR54","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4684-0567-5","volume-title":"Variational Methods in Image Segmentation","author":"J.-M. Morel","year":"1995","unstructured":"Morel, J.-M., Solimini, S.: Variational Methods in Image Segmentation. Birkhauser, Basel (1995)"},{"issue":"5","key":"109_CR55","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(5), 577\u2013685 (1989)","journal-title":"Commun. Pure Appl. Math."},{"issue":"4","key":"109_CR56","doi-asserted-by":"crossref","first-page":"291","DOI":"10.1023\/A:1008282127190","volume":"7","author":"M. Nielsen","year":"1997","unstructured":"Nielsen, M., Florack, L., Deriche, R.: Regularization, scale-space and edge detection filters. J.\u00a0Math. Imaging Vis. 7(4), 291\u2013307 (1997)","journal-title":"J.\u00a0Math. Imaging Vis."},{"issue":"1\u20132","key":"109_CR57","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1023\/B:JMIV.0000011920.58935.9c","volume":"20","author":"M. Nikolova","year":"2004","unstructured":"Nikolova, M.: A variational approach to remove outliers and impulse noise. J.\u00a0Math. Imaging Vis. 20(1\u20132), 99\u2013120 (2004)","journal-title":"J.\u00a0Math. Imaging Vis."},{"key":"109_CR58","doi-asserted-by":"crossref","first-page":"629","DOI":"10.1109\/34.56205","volume":"12","author":"P. Perona","year":"1990","unstructured":"Perona, P., Malik, J.: Scale-space and edge detection using anisotropic diffusion. IEEE Trans. Pattern Anal. Mach. Intell. 12, 629\u2013639 (1990)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."},{"issue":"8","key":"109_CR59","doi-asserted-by":"crossref","first-page":"1233","DOI":"10.1142\/S0218001497000573","volume":"11","author":"H.H. Pien","year":"1997","unstructured":"Pien, H.H., Desai, M., Shah, J.: Segmentation of MR images using curve evolution and prior information. Int. J. Pattern Recognit. Artif. Intell. 11(8), 1233\u20131245 (1997)","journal-title":"Int. J. Pattern Recognit. Artif. Intell."},{"key":"109_CR60","doi-asserted-by":"crossref","unstructured":"Pien, H.H., Gauch, J.M.: Variational segmentation of multi-channel MRI images. In: ICIP, vol.\u00a03, pp.\u00a0508\u2013512 (1994)","DOI":"10.1109\/ICIP.1994.413754"},{"key":"109_CR61","doi-asserted-by":"crossref","unstructured":"Riklin-Raviv, T.: Kiryati, Sochen, N.A.: Unlevel-sets: geometry and prior-based segmentation. In: ECCV, vol.\u00a04, pp.\u00a050\u201361 (2004)","DOI":"10.1007\/978-3-540-24673-2_5"},{"key":"109_CR62","volume-title":"Handbook of Computer Vision Algorithms in Image Algebra","author":"G.X. Ritter","year":"1996","unstructured":"Ritter, G.X., Wilson, J.N.: Handbook of Computer Vision Algorithms in Image Algebra. CRC Press, Boca Raton (1996)"},{"key":"109_CR63","doi-asserted-by":"crossref","unstructured":"Roth, S., Black, M.J.: Fields of experts: a framework for learning image priors. In: CVPR, vol.\u00a02, pp.\u00a0860\u2013867 (2005)","DOI":"10.1109\/CVPR.2005.160"},{"key":"109_CR64","doi-asserted-by":"crossref","unstructured":"Rousson, M., Brox, T., Deriche, R.: Active unsupervised texture segmentation on a diffusion based feature space. In: CVPR, vol.\u00a02, pp.\u00a0699\u2013704 (2003)","DOI":"10.1109\/CVPR.2003.1211535"},{"key":"109_CR65","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1016\/0167-2789(92)90242-F","volume":"60","author":"L. Rudin","year":"1992","unstructured":"Rudin, L., Osher, S., Fatemi, E.: Nonlinear total variation based noise removal algorithms. Physica D 60, 259\u2013268 (1992)","journal-title":"Physica D"},{"key":"109_CR66","doi-asserted-by":"crossref","unstructured":"Scharr, H., Black, M.J., Haussecker, H.W.: Image statistics and anisotropic diffusion. In: ICCV, vol.\u00a02, pp.\u00a0840\u2013847 (2003)","DOI":"10.1109\/ICCV.2003.1238435"},{"issue":"1","key":"109_CR67","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1023\/A:1008344608808","volume":"12","author":"O. Scherzer","year":"2000","unstructured":"Scherzer, O., Weickert, J.: Relations between regularization and diffusion filtering. J.\u00a0Math. Imaging Vis. 12(1), 43\u201363 (2000)","journal-title":"J.\u00a0Math. Imaging Vis."},{"key":"109_CR68","doi-asserted-by":"crossref","first-page":"522","DOI":"10.1038\/nrn2155","volume":"8","author":"O. Schwartz","year":"2007","unstructured":"Schwartz, O., Hsu, A., Dayan, P.: Space and time in visual context. Nat. Rev. Neurosci. 8, 522\u2013535 (2007)","journal-title":"Nat. Rev. Neurosci."},{"key":"109_CR69","volume-title":"Image Analysis and Mathematical Morphology","author":"J. Serra","year":"1982","unstructured":"Serra, J.: Image Analysis and Mathematical Morphology. Academic Press, New York (1982)"},{"key":"109_CR70","doi-asserted-by":"crossref","unstructured":"Shah, J.: Segmentation by nonlinear diffusion. In: CVPR, pp.\u00a0202\u2013207 (1991)","DOI":"10.1109\/CVPR.1991.139688"},{"key":"109_CR71","doi-asserted-by":"crossref","unstructured":"Shah, J.: A common framework for curve evolution, segmentation and anisotropic diffusion. In: CVPR, pp.\u00a0136\u2013142 (1996)","DOI":"10.1109\/CVPR.1996.517065"},{"key":"109_CR72","doi-asserted-by":"crossref","unstructured":"Sminchisescu, C., Kanaujia, A., Li, Z., Metaxas, D.: Conditional models for contextual human motion recognition. In: ICCV, vol.\u00a02, pp.\u00a01808\u20131815 (2005)","DOI":"10.1109\/ICCV.2005.59"},{"key":"109_CR73","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4899-3216-7","volume-title":"Image Processing, Analysis and Machine Vision","author":"M. Sonka","year":"1993","unstructured":"Sonka, M., Hlavac, V., Boyle, R.: Image Processing, Analysis and Machine Vision. Chapman and Hall, New York (1993)"},{"issue":"1","key":"109_CR74","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1023\/A:1021889010444","volume":"18","author":"A. Srivastava","year":"2003","unstructured":"Srivastava, A., Lee, A.B., Simoncelli, E.P., Zhu, S.-C.: On advances in statistical modeling of natural images. J.\u00a0Math. Imaging Vis. 18(1), 17\u201333 (2003)","journal-title":"J.\u00a0Math. Imaging Vis."},{"key":"109_CR75","doi-asserted-by":"crossref","first-page":"1282","DOI":"10.1016\/j.imavis.2006.08.007","volume":"25","author":"Q. Tang","year":"2007","unstructured":"Tang, Q., Sang, N., Zhang, T.: Contour detection based on contextual influences. Image Vis. Comput. 25, 1282\u20131290 (2007)","journal-title":"Image Vis. Comput."},{"issue":"2","key":"109_CR76","doi-asserted-by":"crossref","first-page":"133","DOI":"10.1006\/cviu.1997.0612","volume":"66","author":"S. Tari","year":"1997","unstructured":"Tari, S., Shah, J., Pien, H.: Extraction of shape skeletons from grayscale images. Comput. Vis. Image Underst. 66(2), 133\u2013146 (1997)","journal-title":"Comput. Vis. Image Underst."},{"issue":"3","key":"109_CR77","doi-asserted-by":"crossref","first-page":"387","DOI":"10.1109\/83.661189","volume":"7","author":"S. Teboul","year":"1998","unstructured":"Teboul, S., Blanc-Fraud, L., Aubert, G., Barlaud, M.: Variational approach for edge preserving regularization using coupled PDE\u2019s. IEEE Trans. Image Process. 7(3), 387\u2013397 (1998)","journal-title":"IEEE Trans. Image Process."},{"issue":"3","key":"109_CR78","doi-asserted-by":"crossref","first-page":"391","DOI":"10.1088\/0954-898X_14_3_302","volume":"14","author":"A. Torralba","year":"2003","unstructured":"Torralba, A., Oliva, A.: Statistics of natural image categories. Netw. Comput. Neural Syst. 14(3), 391\u2013412 (2003)","journal-title":"Netw. Comput. Neural Syst."},{"issue":"2","key":"109_CR79","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1109\/TMI.2002.808355","volume":"22","author":"A. Tsai","year":"2003","unstructured":"Tsai, A., Yezzi, A., Wells, W., Tempany, C., Tucker, D., Fan, A., Grimson, E., Willsky, A.: A shape-based approach to the segmentation of medical imagery using level sets. IEEE Trans. Med. Imaging 22(2), 137\u2013154 (2003)","journal-title":"IEEE Trans. Med. Imaging"},{"issue":"1\u20132","key":"109_CR80","doi-asserted-by":"crossref","first-page":"7","DOI":"10.1023\/B:JMIV.0000011316.54027.6a","volume":"20","author":"L.A. Vese","year":"2004","unstructured":"Vese, L.A., Osher, S.J.: Image denoising and decomposition with total variation minimization and oscillatory functions. J.\u00a0Math. Imaging Vis. 20(1\u20132), 7\u201318 (2004)","journal-title":"J.\u00a0Math. Imaging Vis."},{"issue":"2\u20133","key":"109_CR81","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1023\/A:1008009714131","volume":"31","author":"J. Weickert","year":"1999","unstructured":"Weickert, J.: Coherence-enhancing diffusion filtering. Int. J. Comput. Vision 31(2\u20133), 111\u2013127 (1999)","journal-title":"Int. J. Comput. Vision"},{"key":"109_CR82","doi-asserted-by":"crossref","first-page":"285","DOI":"10.1016\/0167-2789(85)90011-9","volume":"16","author":"A. Wolf","year":"1985","unstructured":"Wolf, A., Swift, J.B., Swinney, H., Vastano, J.A.: Determining Lyapunov exponents from a time series. Physica D 16, 285\u2013317 (1985)","journal-title":"Physica D"},{"issue":"2","key":"109_CR83","doi-asserted-by":"crossref","first-page":"251","DOI":"10.1007\/s11263-006-7538-0","volume":"69","author":"L. Wolf","year":"2006","unstructured":"Wolf, L., Bileschi, S.: A critical view of context. Int. J. Comput. Vis. 69(2), 251\u2013261 (2006)","journal-title":"Int. J. Comput. Vis."},{"key":"109_CR84","doi-asserted-by":"crossref","unstructured":"Wolf, L., Huang, X., Martin, I., Metaxas, D.: Patch-based texture edges and segmentation. In: ECCV, vol.\u00a02, pp.\u00a0481\u2013493 (2006)","DOI":"10.1007\/11744047_37"},{"key":"109_CR85","doi-asserted-by":"crossref","unstructured":"Zheng, S., Tu, Z., Yuille, A.: Detecting object boundaries using low-, mid-, and high-level information. In: CVPR, pp.\u00a01\u20138 (2007)","DOI":"10.1109\/CVPR.2007.383343"},{"issue":"11","key":"109_CR86","doi-asserted-by":"crossref","first-page":"1236","DOI":"10.1109\/34.632983","volume":"19","author":"S.C. Zhu","year":"1997","unstructured":"Zhu, S.C., Mumford, D.: Prior learning and Gibbs reaction-diffusion. IEEE Trans. Pattern Anal. Mach. Intell. 19(11), 1236\u20131250 (1997)","journal-title":"IEEE Trans. Pattern Anal. Mach. Intell."}],"container-title":["Journal of Mathematical Imaging and Vision"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10851-008-0109-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10851-008-0109-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10851-008-0109-y","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,1,31]],"date-time":"2025-01-31T04:48:57Z","timestamp":1738298937000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10851-008-0109-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,7,24]]},"references-count":86,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2009,1]]}},"alternative-id":["109"],"URL":"https:\/\/doi.org\/10.1007\/s10851-008-0109-y","relation":{},"ISSN":["0924-9907","1573-7683"],"issn-type":[{"value":"0924-9907","type":"print"},{"value":"1573-7683","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,7,24]]}}}