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Table des matières de ce fascicule | Article précédent | Article suivant Bonnet, A.
On the regularity of edges in image segmentation. Annales de l'institut Henri Poincaré (C) Analyse non linéaire, 13 no. 4 (1996), p. 485-528
Texte intégral djvu | pdf | Analyses MR 1404319 | Zbl 0883.49004 | 5 citations dans Numdam
URL stable: http://www.numdam.org/item?id=AIHPC_1996__13_4_485_0
[1] H.W. Alt, L.A. Caffarelli and A. Friedman, Variational problems with two Phases and their free boundary, Trans. Am. Math. Soc., Vol. 282, 1984, pp. 431-461. MR 732100 | Zbl 0844.35137 [2] L. Ambrosio, Existence theory for a new class of variational problems, Arch. Rat. Mech. Anal., Vol. 111, 1990, pp. 291-322. MR 1068374 | Zbl 0711.49064 [3] L. Ambrosio and D. Pallara, Partial regularity of free discontinuity sets I, to appear.
Numdam | MR 1475771 | Zbl 0896.49023 [4] L. Ambrosio, N. Fusco and D. Pallara, Partial regularity of free discontinuity sets II, to appear.
Numdam | MR 1475772 | Zbl 0896.49024 [5] G. Congedo and I. Tamanini, On the existence of solutions to a problem in multidimensional segmentation, Ann. Inst. Henri Poincaré, Vol. 8, 2, 1991, pp. 175-195.
Numdam | MR 1096603 | Zbl 0729.49003 [6] G. Dal Maso, J.-M. Morel and S. Solimini, A variational method in image segmentation: existence and approximation results, Acta Matematica, Vol. 168, 1992, pp. 89-151. MR 1149865 | Zbl 0772.49006 [7] G. David and S. Semmes, On the singular sets of minimisers of the Mumford-Shah functional, to appear in J. Math. Pures Appl. MR 1251061 | Zbl 0853.49010 [8] G. David, C1-arcs for minimisers of the Mumford-Shah functional, to appear. MR 1389754 | Zbl 0870.49020 [9] F. Dibos, Uniform rectifiability of image segmentations obtained by a variational method, J. Math. Pures and Appl., Vol. 73, 1994, pp. 389-412. MR 1290493 | Zbl 0860.49030 [10] F. Dibos and G. Koepfler, Color segmentation using a variational formulation, preprint CEREMADE. [11] E. De Giorgi, M. Carriero and A. Leaci, Existence theorem for a minimum problem with free discontinuity set, Arch. Rat. Mech. Anal., Vol. 108, 1989, pp. 195-218. MR 1012174 | Zbl 0682.49002 [12] L. Evans and R. Gariepy, Measure theory and fine properties of functions, London: CRC Press, 1992. MR 1158660 | Zbl 0804.28001 [13] K.J. Falconer, The geometry of fractal sets, Cambridge University Press, 1985. MR 867284 | Zbl 0587.28004 [14] H. Federer, Geometric measure theory, Springer-Verlag, 1969. MR 257325 | Zbl 0176.00801 [15] G. Hardy, J.E. Littlewood and G. Pólya, Inequalities Second Edition, Cambridge university Press. MR 944909 | Zbl 0010.10703 | JFM 60.0169.01 [16] U. Massari and I. Tamanini, Regularity properties of optimal segmentations, Journ. reine angew. Math., Vol. 420, 1991, pp. 61-84.
Article | MR 1124566 | Zbl 0729.49004 [17] J.-M. Morel and S. Solimini, Variational methods in Image Segmentation, Birkhauser, 1994. MR 1321598 | Zbl 0827.68111 [18] C.B. Morrey Jr., Multiple integrals in the calculus of variations, Springer-Verlag, 1966. MR 202511 | Zbl 0142.38701 [19] D. Mumford and J. Shah, Optimal approximations by piecewise smooth functions and associated variational problems, Comm. on Pure and Appl. Math., Vol. XLII, n° 4, 1989. MR 997568 | Zbl 0691.49036
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