-
1
-
-
0003796630
-
-
Academic Press, New York
-
R.A. Adams, Sobolev Spaces. Academic Press, New York (1975).
-
(1975)
Sobolev Spaces
-
-
Adams, R.A.1
-
2
-
-
34748925841
-
Approximation of functionals depending on jumps by elliptic functionals via F-convergence
-
L. Ambrosio and V.M. Tortorelli, Approximation of functionals depending on jumps by elliptic functionals via F-convergence. Comm. Pure Appl. Math. 43 (1990) 999-1036.
-
(1990)
Comm. Pure Appl. Math.
, vol.43
, pp. 999-1036
-
-
Ambrosio, L.1
Tortorelli, V.M.2
-
3
-
-
0000654840
-
On the approximation of functionals depending on jumps by quadratic, elliptic functionals
-
L. Ambrosio and V.M. Tortorelli, On the approximation of functionals depending on jumps by quadratic, elliptic functionals. Boll. Un. Mat. Ital. 6-B (1992) 105-123.
-
(1992)
Boll. Un. Mat. Ital.
, vol.6 B
, pp. 105-123
-
-
Ambrosio, L.1
Tortorelli, V.M.2
-
6
-
-
0040745183
-
Discrete approximation of a free discontinuity problem
-
G. Bellettini and A. Coscia, Discrete approximation of a free discontinuity problem. Numer. Funct. Anal. Optimiz. 15 (1994) 201-224.
-
(1994)
Numer. Funct. Anal. Optimiz.
, vol.15
, pp. 201-224
-
-
Bellettini, G.1
Coscia, A.2
-
8
-
-
0033415668
-
Image segmentation with a finite element method
-
B. Bourdin, Image segmentation with a finite element method. ESAIM: M2AN 33 (1999) 229-244.
-
(1999)
ESAIM: M2AN
, vol.33
, pp. 229-244
-
-
Bourdin, B.1
-
9
-
-
0003320179
-
Approximation of free-discontinuity problems
-
Springer-Verlag
-
A. Braides, Approximation of free-discontinuity problems. Lect. Notes Math. 1694, Springer-Verlag (1998).
-
(1998)
Lect. Notes Math.
, vol.1694
-
-
Braides, A.1
-
12
-
-
33746012315
-
Free energy of a nonuniform system I, Interfacial free energy
-
J.W. Cahn and J.E. Hilliard, Free energy of a nonuniform system I, Interfacial free energy. J. Chem. Phys. 28 (1958) 258-267.
-
(1958)
J. Chem. Phys.
, vol.28
, pp. 258-267
-
-
Cahn, J.W.1
Hilliard, J.E.2
-
13
-
-
0029328073
-
Image segmentation by variational methods: Mumford-Shah functional and the discrete approximation
-
A. Chambolle, Image segmentation by variational methods: Mumford-Shah functional and the discrete approximation. SIAM J. Appl. Math. 55 (1995) 827-863.
-
(1995)
SIAM J. Appl. Math.
, vol.55
, pp. 827-863
-
-
Chambolle, A.1
-
14
-
-
0033438682
-
Discrete approximation of the Mumford-Shah functional in dimension two
-
A. Chambolle and G. Dal Maso, Discrete approximation of the Mumford-Shah functional in dimension two. ESAIM: M2AN 33 (1999) 651-672.
-
(1999)
ESAIM: M2AN
, vol.33
, pp. 651-672
-
-
Chambolle, A.1
Dal Maso, G.2
-
15
-
-
8544220284
-
Basic error estimates for elliptic problems
-
Elsevier Sciences Publishers
-
P.G. Ciarlet, Basic error estimates for elliptic problems, in Handbook of Numer. Anal. II, Elsevier Sciences Publishers (1991).
-
(1991)
Handbook of Numer. Anal. II
-
-
Ciarlet, P.G.1
-
17
-
-
0000532812
-
Existence theorem for a minimum problem with discontinuity set
-
E. De Giorgi, M. Carriero and A. Leaci, Existence theorem for a minimum problem with discontinuity set. Arch. Rat. Mech. Anal. 108 (1989) 195-218.
-
(1989)
Arch. Rat. Mech. Anal.
, vol.108
, pp. 195-218
-
-
De Giorgi, E.1
Carriero, M.2
Leaci, A.3
-
19
-
-
0345908351
-
An approximation result for the minimizers of the Mumford-Shah functional
-
F. Dibos and E. Séré, An approximation result for the minimizers of the Mumford-Shah functional. Boll. Un. Mat. Ital. A 11 (1997).
-
(1997)
Boll. Un. Mat. Ital. A
, vol.11
-
-
Dibos, F.1
Séré, E.2
-
20
-
-
0001475208
-
A second order splitting method for the Cahn-Hilliard equation
-
C.M. Elliott, D.A. French and F.A. Milner, A second order splitting method for the Cahn-Hilliard equation. Numer. Math. 54 (1989) 575-590.
-
(1989)
Numer. Math.
, vol.54
, pp. 575-590
-
-
Elliott, C.M.1
French, D.A.2
Milner, F.A.3
-
21
-
-
0036672270
-
Digital inpainting based on the Mumford-Shah-Euler image model
-
S. Esedoglu and J. Shen, Digital inpainting based on the Mumford-Shah-Euler image model. European J. Appl. Math. 13 (2002) 353-370.
-
(2002)
European J. Appl. Math.
, vol.13
, pp. 353-370
-
-
Esedoglu, S.1
Shen, J.2
-
22
-
-
0038041043
-
Analysis of total variation flow and its finite element approximations
-
X. Feng and A. Prohl, Analysis of total variation flow and its finite element approximations. ESAIM: M2AN37 (2003) 533-556.
-
(2003)
ESAIM: M2AN
, vol.37
, pp. 533-556
-
-
Feng, X.1
Prohl, A.2
-
24
-
-
0021518209
-
Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images
-
D. Geman and S. Geman, Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images. IEEE Trans. Patten Anal. Mach. Intell. 6 (1984) 721-741.
-
(1984)
IEEE Trans. Patten Anal. Mach. Intell.
, vol.6
, pp. 721-741
-
-
Geman, D.1
Geman, S.2
-
25
-
-
0003243345
-
Numerical analysis of variational inequalities. North-Holland, New York
-
R. Glowinski, J.L. Lions and R. Trémoliéres, Numerical analysis of variational inequalities. North-Holland, New York. Stud. Math. Appl. 8 (1981).
-
(1981)
Stud. Math. Appl.
, vol.8
-
-
Glowinski, R.1
Lions, J.L.2
Trémoliéres, R.3
-
26
-
-
0037494077
-
Gradient flow for the one-dimensional Mumford-Shah strategies
-
M. Gobbino, Gradient flow for the one-dimensional Mumford-Shah strategies. Ann. Scuola Norm. Sup. Pisa Cl. Sci. 27 (1998) 145-193.
-
(1998)
Ann. Scuola Norm. Sup. Pisa Cl. Sci.
, vol.27
, pp. 145-193
-
-
Gobbino, M.1
-
28
-
-
0001642385
-
A variational method for the recovery of smooth boundaries
-
R. March and M. Dozio, A variational method for the recovery of smooth boundaries. Im. Vis. Comp. 15 (1997) 705-712.
-
(1997)
Im. Vis. Comp.
, vol.15
, pp. 705-712
-
-
March, R.1
Dozio, M.2
-
29
-
-
34250109116
-
The gradient theory of phase transitions and the minimal interface criterion
-
L. Modica, The gradient theory of phase transitions and the minimal interface criterion. Arch. Rational Mech. Anal. 98 (1987) 123-142.
-
(1987)
Arch. Rational Mech. Anal.
, vol.98
, pp. 123-142
-
-
Modica, L.1
-
32
-
-
84990602490
-
Optimal approximations by piecewise smooth functions and associated variational problems
-
D. Mumford and J. Shah, Optimal approximations by piecewise smooth functions and associated variational problems. Comm. Pure Appl. Math. 42 (1989) 577-685.
-
(1989)
Comm. Pure Appl. Math.
, vol.42
, pp. 577-685
-
-
Mumford, D.1
Shah, J.2
-
33
-
-
0040517815
-
Convergence past singularities for a fully discrete approximation of curvature-driven interfaces
-
R.H. Nochetto and C. Verdi, Convergence past singularities for a fully discrete approximation of curvature-driven interfaces. SIAM J. Numer. Anal. 34 (1997) 490-512.
-
(1997)
SIAM J. Numer. Anal.
, vol.34
, pp. 490-512
-
-
Nochetto, R.H.1
Verdi, C.2
-
35
-
-
0002341651
-
Geometric evolution problems
-
M. Struwe, Geometric evolution problems. IAS/Park City Math. Series 2 (1996) 259-339.
-
(1996)
IAS/Park City Math. Series
, vol.2
, pp. 259-339
-
-
Struwe, M.1
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