@article{ASNSP_1997_4_24_3_463_0, author = {Fonseca, Irene and Fusco, Nicola}, title = {Regularity results for anisotropic image segmentation models}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {463--499}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 24}, number = {3}, year = {1997}, mrnumber = {1612389}, zbl = {0899.49018}, language = {en}, url = {http://archive.numdam.org/item/ASNSP_1997_4_24_3_463_0/} }
TY - JOUR AU - Fonseca, Irene AU - Fusco, Nicola TI - Regularity results for anisotropic image segmentation models JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1997 SP - 463 EP - 499 VL - 24 IS - 3 PB - Scuola normale superiore UR - http://archive.numdam.org/item/ASNSP_1997_4_24_3_463_0/ LA - en ID - ASNSP_1997_4_24_3_463_0 ER -
%0 Journal Article %A Fonseca, Irene %A Fusco, Nicola %T Regularity results for anisotropic image segmentation models %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1997 %P 463-499 %V 24 %N 3 %I Scuola normale superiore %U http://archive.numdam.org/item/ASNSP_1997_4_24_3_463_0/ %G en %F ASNSP_1997_4_24_3_463_0
Fonseca, Irene; Fusco, Nicola. Regularity results for anisotropic image segmentation models. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 24 (1997) no. 3, pp. 463-499. http://archive.numdam.org/item/ASNSP_1997_4_24_3_463_0/
[A1] A compactness theorem for a new class of functions of bounded variation, Boll. Un. Mat. Ital. B 3 (1989), 857-881. | MR | Zbl
,[A2] A new proof of the SB V compactness theorem, Calc. Var. Partial Differential Equations 3 (1995), 127-137. | MR | Zbl
,[AFP] Partial regularity offree discontinuity sets II, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 24 (1997), 39-62. | Numdam | MR | Zbl
- - ,[AP] Partial regularity of free discontinuity sets I, Ann. Scuola Norm. Sup. Pisa Cl. Sci. 24 (1997), 1-38. | Numdam | MR | Zbl
- ,[BZ] Visual Reconstruction, M.I.T. Press, 1987. | MR
- ,[CL] 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] A variational method in image segmentation : existence and approximation results, Acta Math. 168 (1992), 89-151. | MR | Zbl
- - ,[DS] On the singular set of minimizers of the Mumford-Shah functional, J. Math. Pures Appl., to appear. | Zbl
- ,[DG] 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] 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] Existence theorem for a minimum problem with free discontinuity set, Arch. Rat. Mech. Anal. 108 (1989), 195-218. | MR | Zbl
- - ,[DB] C1,α local regularity of weak solutions of degenerate elliptic equations, Nonlinear Anal. 7 (1983), 827-850. | Zbl
,[F] Geometric Measure Theory, Springer, New York, 1969. | MR | Zbl
,[FF] 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] Remarks on the regularity of certain degenerate functionals, Manuscripta Math. 57 (1986), 55-99. | MR | Zbl
- ,[M] Regularity for minima of functionals with p-growth, J. Differential Equations 76 (1988), 203-212. | MR | Zbl
,[MS] Variational Methods in Image Segmentation, Birkhäuser, Boston, 1995. | MR
- ,