-
1
-
-
0003362526
-
Sobolev spaces
-
Academic Press, New York
-
R.A. Adams, Sobolev spaces, Pure Appl. Math. 65, Academic Press, New York, 1975.
-
(1975)
Pure Appl. Math
, vol.65
-
-
Adams, R.A.1
-
3
-
-
0004291558
-
Operateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert, North-Holland
-
North-Holland Publishing Co, Amsterdam
-
H. Brezis, Operateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert, North-Holland Math. Stud. 5, North-Holland Publishing Co, Amsterdam, 1973.
-
(1973)
Math. Stud
, vol.5
-
-
Brezis, H.1
-
4
-
-
37249068651
-
Inverse total variation flow
-
(electronic)
-
M. Burger, K. Frick, S. Osher and O. Scherzer, Inverse total variation flow, Multiscale Model. Simul. 6 (2007), 365-395 (electronic).
-
(2007)
Multiscale Model. Simul.
, vol.6
, pp. 365-395
-
-
Burger, M.1
Frick, K.2
Osher, S.3
Scherzer, O.4
-
5
-
-
33646554522
-
Nonlinear inverse scale space methods for image restoration
-
N. Paragios, O.D. Faugeras, T. Chan and C. Schnorr, eds, Springer, New York
-
M. Burger, S. Osher, J. Xu and G. Gilboa, Nonlinear inverse scale space methods for image restoration, in N. Paragios, O.D. Faugeras, T. Chan and C. Schnorr, eds., VLSM, Lecture Notes Comp. Sci. 3752, Springer, New York, 2005.
-
(2005)
VLSM, Lecture Notes Comp. Sci
, pp. 3752
-
-
Burger, M.1
Osher, S.2
Xu, J.3
Gilboa, G.4
-
6
-
-
36549078210
-
Error estimation for Bregman iterations and inverse scale space methods in image restoration
-
M. Burger, E. Resmerita and L. He, Error estimation for Bregman iterations and inverse scale space methods in image restoration, Computing 81 (2007), 109-135.
-
(2007)
Computing
, vol.81
, pp. 109-135
-
-
Burger, M.1
Resmerita, E.2
He, L.3
-
7
-
-
27844461945
-
Aspects of total variation regularized L function approximation
-
T.F. Chan and S. Esedoglu, Aspects of total variation regularized L function approximation, SIAM J. Appl. Math. 65 (2005), 1817-1837.
-
(2005)
SIAM J. Appl. Math.
, vol.65
, pp. 1817-1837
-
-
Chan, T.F.1
Esedoglu, S.2
-
8
-
-
0037997378
-
A generalized approach for atomic force microscopy image restoration with Bregman distances as Tikhonov regularization terms
-
G.A.G. Cidade, C. Anteneodo, N.C. Roberty and A.J.S. Neto, A generalized approach for atomic force microscopy image restoration with Bregman distances as Tikhonov regularization terms, Inverse Probl. Eng. 8 (2000), 457-472.
-
(2000)
Inverse Probl. Eng.
, vol.8
, pp. 457-472
-
-
Cidade, G.A.G.1
Anteneodo, C.2
Roberty, N.C.3
Neto, A.J.S.4
-
9
-
-
0003244186
-
Convex analysis and variational problems
-
North-Holland Publishing Co., Amsterdam
-
I. Ekeland and R. Temam, Convex analysis and variational problems, volume 1 Stud. Math. Appl. 1, North-Holland Publishing Co., Amsterdam, 1976.
-
(1976)
Stud. Math. Appl
, vol.1
, pp. 1
-
-
Ekeland, I.1
Temam, R.2
-
10
-
-
0003346795
-
Measure theory and fine properties of functions
-
CRC Press Boca Raton, FL
-
L.C. Evans and R.F. Gariepy, Measure theory and fine properties of functions, Stud. Adv. Math., CRC Press, Boca Raton, FL, 1992.
-
(1992)
Stud. Adv. Math
-
-
Evans, L.C.1
Gariepy, R.F.2
-
11
-
-
77957039678
-
Augmented Lagrangian methods
-
Applications to the numerical solution of boundary value problems, North-Holland Publishing Co., Amsterdam, Translated from the French by B. Hunt and D.C. Spicer
-
M. Fortin and R. Glowinski, Augmented Lagrangian methods, Stud. Math. Appl. 15, in Applications to the numerical solution of boundary value problems, North-Holland Publishing Co., Amsterdam, 1983. Translated from the French by B. Hunt and D.C. Spicer.
-
(1983)
Stud. Math. Appl
, vol.15
-
-
Fortin, M.1
Glowinski, R.2
-
13
-
-
37249017140
-
Convex inverse scale spaces
-
SSVM, F. Sgallari, A. Murli, and N. Paragios, eds, Springer, New York
-
K. Frick and O. Scherzer, Convex inverse scale spaces, in SSVM, F. Sgallari, A. Murli, and N. Paragios, eds., Lecture Notes Comp. Sci. 4485, Springer, New York, 2007.
-
(2007)
Lecture Notes Comp. Sci
, vol.4485
-
-
Frick, K.1
Scherzer, O.2
-
14
-
-
85072900806
-
Stable approximate evaluation of unbounded operators
-
Springer-Verlag, Berlin
-
C.W. Groetsch, Stable approximate evaluation of unbounded operators, Lec ture Notes Math. 1894, Springer-Verlag, Berlin, 2007.
-
(2007)
Lec ture Notes Math
, vol.1894
-
-
Groetsch, C.W.1
-
15
-
-
0034298994
-
Non-stationary iterated Tikhonov-Morozov method and third-order differential equations for the evaluation of unbounded operators
-
C.W. Groetsch and O. Scherzer, Non-stationary iterated Tikhonov-Morozov method and third-order differential equations for the evaluation of unbounded operators, Math. Methods Appl. Sci. 23 (2000), 1287-1300.
-
(2000)
Math. Methods Appl. Sci.
, vol.23
, pp. 1287-1300
-
-
Groetsch, C.W.1
Scherzer, O.2
-
16
-
-
0026123473
-
On the convergence of the proximal point algorithm for convex minimization
-
O. Giiler, On the convergence of the proximal point algorithm for convex minimization, SIAM J. Control Optim. 29 (1991), 403-419.
-
(1991)
SIAM J. Control Optim.
, vol.29
, pp. 403-419
-
-
Giiler, O.1
-
18
-
-
34249721452
-
A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators
-
B. Hofmann, B. Kaltenbacher, C. Poschl and O. Scherzer, A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators, Inverse Problems 23 (2007), 987-1010.
-
(2007)
Inverse Problems
, vol.23
, pp. 987-1010
-
-
Hofmann, B.1
Kaltenbacher, B.2
Poschl, C.3
Scherzer, O.4
-
19
-
-
1842436255
-
Handbook of multivalued analysis
-
Kluwer Academic Publishers, Dordrecht
-
S. Hu and N.S. Papageorgiou, Handbook of multivalued analysis, Vol. I, Math. Appl. 419, Kluwer Academic Publishers, Dordrecht, 1997.
-
(1997)
Math. Appl
, vol.1
, pp. 419
-
-
Hu, S.1
Papageorgiou, N.S.2
-
20
-
-
0033457563
-
An active set strategy based on the augmented Lagrangian formulation for image restoration
-
K. Ito and K. Kunisch, An active set strategy based on the augmented Lagrangian formulation for image restoration, M2AN Math. Model. Numer. Anal. 33 (1999), 1-21.
-
(1999)
M2AN Math. Model. Numer. Anal.
, vol.33
, pp. 1-21
-
-
Ito, K.1
Kunisch, K.2
-
21
-
-
77953863734
-
Lagrange multiplier approach to variational problems and applica tions
-
Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA
-
K. Ito, Lagrange multiplier approach to variational problems and applica tions, Adv. Design Control 15, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2008.
-
(2008)
Adv. Design Control
, vol.15
-
-
Ito, K.1
-
22
-
-
0011037583
-
Regularization of nonlinear illposed problems with closed operators
-
K. Kunisch and W. Ring, Regularization of nonlinear illposed problems with closed operators, Numer. Funct. Anal. Optim. 14 (1993), 389-404.
-
(1993)
Numer. Funct. Anal. Optim.
, vol.14
, pp. 389-404
-
-
Kunisch, K.1
Ring, W.2
-
24
-
-
0003498851
-
-
Springer-Verlag, New York Translated from the Russian by A. B. Aries, Translation edited by Z. Nashed
-
V.A. Morozov, Methods for solving incorrectly posed problems, Springer-Verlag, New York, 1984. Translated from the Russian by A. B. Aries, Translation edited by Z. Nashed.
-
(1984)
Methods for solving incorrectly posed problems
-
-
Morozov, V.A.1
-
25
-
-
0003994154
-
-
Academic Press [Harcourt Brace Jovanovich Publishers]ed, New York
-
M. Nashed, ed., Generalized inverses and applications, Academic Press [Harcourt Brace Jovanovich Publishers], New York, 1976.
-
(1976)
Generalized inverses and applications
-
-
Nashed, M.1
-
26
-
-
0034373609
-
A posteriori error estimates for variable time-step discretizations of nonlinear evolution equations
-
R.H. Nochetto, G. Savare and C. Verdi, A posteriori error estimates for variable time-step discretizations of nonlinear evolution equations, Comm. Pure Appl. Math. 53 (2000), 525-589.
-
(2000)
Comm. Pure Appl. Math.
, vol.53
, pp. 525-589
-
-
Nochetto, R.H.1
Savare, G.2
Verdi, C.3
-
27
-
-
19844370110
-
An iterative regulariza tion method for total variation-based image restoration
-
(electronic)
-
S. Osher, M. Burger, D. Goldfarb, J. Xu and W. Yin, An iterative regulariza tion method for total variation-based image restoration, Multiscale Model. Simul. 4 (2005), 460-489 (electronic).
-
(2005)
Multiscale Model. Simul
, vol.4
, pp. 460-489
-
-
Osher, S.1
Burger, M.2
Goldfarb, D.3
Xu, J.4
Yin, W.5
-
28
-
-
84864556893
-
-
Optimization (Symposium, Univ. Keele, Keele, 1968), Academic Press, London
-
M.J.D. Powell, A method for nonlinear constraints in minimization problems, in Optimization (Symposium, Univ. Keele, Keele, 1968), Academic Press, London, 1969.
-
(1969)
A method for nonlinear constraints in minimization problems
-
-
Powell, M.J.D.1
-
29
-
-
7544227520
-
On total convexity, Bregman projections and stability in Banach spaces
-
E. Resmerita, On total convexity, Bregman projections and stability in Banach spaces, J. Convex Anal. 11 (2004), 1-16.
-
(2004)
J. Convex Anal.
, vol.11
, pp. 1-16
-
-
Resmerita, E.1
-
30
-
-
0016950796
-
Augmented Lagrangians and applications of the proximal point algorithm in convex programming
-
R.T. Rockafellar, Augmented Lagrangians and applications of the proximal point algorithm in convex programming, Math. Oper. Res. 1 (1976), 97-116.
-
(1976)
Math. Oper. Res.
, vol.1
, pp. 97-116
-
-
Rockafellar, R.T.1
-
31
-
-
85067938872
-
Variational methods in imaging
-
Springer, New York
-
O. Scherzer, M. Grasmair, H. Grossauer, M. Haltmeier and F. Lenzen, Variational methods in imaging, Appl. Math. Sci. 167, Springer, New York, 2009.
-
(2009)
Appl. Math. Sci
, vol.167
-
-
Scherzer, O.1
Grasmair, M.2
Grossauer, H.3
Haltmeier, M.4
Lenzen, F.5
-
32
-
-
0000027929
-
Well-posedness and convergence of some regularisation methods for nonlinear ill posed problems
-
T.I. Seidman and C.R. Vogel, Well-posedness and convergence of some regularisation methods for nonlinear ill posed problems, Inverse Problems 5 (1989), 227-238.
-
(1989)
Inverse Problems
, vol.5
, pp. 227-238
-
-
Seidman, T.I.1
Vogel, C.R.2
-
33
-
-
69049120535
-
Split Bregman algorithm, Douglas-Rachford splitting and frame shrinkage, in Scale space and variational methods in computer vision
-
Springer, Berlin
-
S. Setzer, Split Bregman algorithm, Douglas-Rachford splitting and frame shrinkage, in Scale space and variational methods in computer vision, Lecture Notes Comp. Sci. 5567, Springer, Berlin, 2009.
-
(2009)
Lecture Notes Comp. Sci
, pp. 5567
-
-
Setzer, S.1
-
34
-
-
84966222201
-
Representation and computation of the pseudoinverse
-
D.W. Showalter, Representation and computation of the pseudoinverse, Proc. Amer. Math. Soc. 18 (1967), 584-586.
-
(1967)
Proc. Amer. Math. Soc.
, vol.18
, pp. 584-586
-
-
Showalter, D.W.1
-
35
-
-
4644233584
-
Representation and computation of the generalized inverse of a bounded linear operator between Hilbert spaces
-
D.W. Showalter and A. Ben-Israel, Representation and computation of the generalized inverse of a bounded linear operator between Hilbert spaces, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 48 (1970), 184-194.
-
(1970)
Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur.
, vol.48
, pp. 184-194
-
-
Showalter, D.W.1
Ben-Israel, A.2
-
36
-
-
19844375896
-
A multiscale image representation using hierarchical (BV, L2) decompositions
-
E. Tadmor, S. Nezzar and L. Vese, A multiscale image representation using hierarchical (BV, L2) decompositions, Multiscale Model Simul. 2 (2004), 554-579.
-
(2004)
Multiscale Model Simul
, vol.2
, pp. 554-579
-
-
Tadmor, E.1
Nezzar, S.2
Vese, L.3
-
37
-
-
69149107499
-
Scale space and variational methods in computer vision
-
eds, Springer Berlin
-
X. Tai, K. M0rken, M. Lysaker, and K.-A. Lie, eds., Scale space and variational methods in computer vision, Lect. Notes Comp. Sci. 5567, Springer, Berlin, 2009.
-
(2009)
Lect. Notes Comp. Sci
, vol.5567
-
-
Tai, X.1
M0rken, K.2
Lysaker, M.3
Lie, K.-A.4
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