Regularity results for anisotropic image segmentation models
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 24 (1997) no. 3, pp. 463-499.
Fonseca, Irene ; Fusco, Nicola 1

1 Dipartimento di Matematica e Applicazioni Monte Sant’Angelo, via Cintia, 80126 Napoli, Italy;
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Fonseca, Irene; Fusco, Nicola. Regularity results for anisotropic image segmentation models. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 24 (1997) no. 3, pp. 463-499. http://www.numdam.org/item/ASNSP_1997_4_24_3_463_0/

[A1] L. Ambrosio, A compactness theorem for a new class of functions of bounded variation, Boll. Un. Mat. Ital. B 3 (1989), 857-881. | MR | Zbl

[A2] L. Ambrosio, A new proof of the SB V compactness theorem, Calc. Var. Partial Differential Equations 3 (1995), 127-137. | MR | Zbl

[AFP] L. Ambrosio - N. Fusco - D. Pallara, Partial regularity offree discontinuity sets II, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 24 (1997), 39-62. | Numdam | MR | Zbl

[AP] L. Ambrosio - D. Pallara, Partial regularity of free discontinuity sets I, Ann. Scuola Norm. Sup. Pisa Cl. Sci. 24 (1997), 1-38. | Numdam | MR | Zbl

[BZ] A. Blake - A. Zisserman, Visual Reconstruction, M.I.T. Press, 1987. | MR

[CL] M. Carrieri - A. Leaci, Sk-valued maps minimizing the LP norm of the gradient withfree discontinuities, Ann. Scuola. Norm. Sup. Pisa Cl. Sci. 18 (1991), 321-352. | Numdam | MR | Zbl

[DMMS] G. Dal Maso - J.-M. Morel - S. Solimini, A variational method in image segmentation : existence and approximation results, Acta Math. 168 (1992), 89-151. | MR | Zbl

[DS] G. David - S. Semmes, On the singular set of minimizers of the Mumford-Shah functional, J. Math. Pures Appl., to appear. | Zbl

[DG] E. De Giorgi, Free Discontinuity Problems in the Calculus of Variations, a collection of papers dedicated to J. L. Lions on the occasion of his 60th birthday, North Holland (R. Dautray ed.), 1991. | MR | Zbl

[DGA] E. De Giorgi - L. Ambrosio, Un nuovo tipo difunzionale del calcolo delle variazioni, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 82 (1988), 199-210. | MR | Zbl

[DGCL] E. De Giorgi - M. Carriero - A. Leaci, Existence theorem for a minimum problem with free discontinuity set, Arch. Rat. Mech. Anal. 108 (1989), 195-218. | MR | Zbl

[DB] E. Di Benedetto, C1,α local regularity of weak solutions of degenerate elliptic equations, Nonlinear Anal. 7 (1983), 827-850. | Zbl

[F] H. Federer, Geometric Measure Theory, Springer, New York, 1969. | MR | Zbl

[FF] I. Fonseca - G. Francofort, Relaxation in B V versus quasiconvexification in W1,p; a model for the interaction between fracture and damage, Calc. Var. Partial Differential Equations 3 (1995), 407-446. | MR | Zbl

[GM] M. Giaquinta - G. Modica, Remarks on the regularity of certain degenerate functionals, Manuscripta Math. 57 (1986), 55-99. | MR | Zbl

[M] J. Manfredi, Regularity for minima of functionals with p-growth, J. Differential Equations 76 (1988), 203-212. | MR | Zbl

[MS] J.-M. Morel - S. Solimini, Variational Methods in Image Segmentation, Birkhäuser, Boston, 1995. | MR