-
1
-
-
15544363597
-
Evolution of characteristic functions of convex sets in the plane by the minimizing total variation flow
-
Alter, F., Caselles, V., Chambolle, A.: Evolution of characteristic functions of convex sets in the plane by the minimizing total variation flow. Interfaces Free Bound. 7(1), 29-53 (2005)
-
(2005)
Interfaces Free Bound.
, vol.7
, Issue.1
, pp. 29-53
-
-
Alter, F.1
Caselles, V.2
Chambolle, A.3
-
3
-
-
84858681988
-
-
Ph. D. thesis, University of Münster, Institute for Computational and Applied Mathematics, Einsteinstr. 62, 48149 Münster, May
-
Benning, M.: Singular regularization of inverse problems. Ph. D. thesis, University of Münster, Institute for Computational and Applied Mathematics, Einsteinstr. 62, 48149 Münster, May 2011
-
(2011)
Singular Regularization of Inverse Problems
-
-
Benning, M.1
-
4
-
-
78650492440
-
Nonlinear regularizations of TV based PDEs for image processing
-
Chen, G.-Q., Gasper, G., Jerome, J. eds.
-
Bertozzi, A. L., Greer, J. B., Osher, S., Vixie, K.: Nonlinear regularizations of TV based PDEs for image processing. In: Chen, G.-Q., Gasper, G., Jerome, J. (eds.) AMS Series of Contemporary Mathematics, vol. 371, pp. 29-40 (2005)
-
(2005)
AMS Series of Contemporary Mathematics
, vol.371
, pp. 29-40
-
-
Bertozzi, A.L.1
Greer, J.B.2
Osher, S.3
Vixie, K.4
-
6
-
-
78651543709
-
Total generalized variation
-
Bredies, K., Kunisch, K., Pock, T.: Total generalized variation. SIAM J. Imaging Sci. 3(3), 492-526 (2010)
-
(2010)
SIAM J. Imaging Sci.
, vol.3
, Issue.3
, pp. 492-526
-
-
Bredies, K.1
Kunisch, K.2
Pock, T.3
-
7
-
-
49949144765
-
The relaxation method for finding the common point of convex sets and its application to the solution of problems in convex programming
-
Bregman, L. M.: The relaxation method for finding the common point of convex sets and its application to the solution of problems in convex programming. USSR Comput. Math. Math. Phys. 7, 200-217 (1967)
-
(1967)
USSR Comput. Math. Math. Phys.
, vol.7
, pp. 200-217
-
-
Bregman, L.M.1
-
8
-
-
33645653318
-
A review of image denoising algorithms, with a new one
-
Buades, A., Coll, B., Morel, J. M.: A review of image denoising algorithms, with a new one. Multiscale Model. Simul. 4(2), 490-530 (2005)
-
(2005)
Multiscale Model. Simul.
, vol.4
, Issue.2
, pp. 490-530
-
-
Buades, A.1
Coll, B.2
Morel, J.M.3
-
9
-
-
6444243748
-
Convergence rates of convex variational regularization
-
Burger, M., Osher, S.: Convergence rates of convex variational regularization. Inverse Probl. 20, 1411-1421 (2004)
-
(2004)
Inverse Probl.
, vol.20
, pp. 1411-1421
-
-
Burger, M.1
Osher, S.2
-
11
-
-
85121572269
-
Nonlinear inverse scale space methods
-
Burger, M., Gilboa, G., Osher, S., Xu, J.: Nonlinear inverse scale space methods. Commun. Math. Sci. 4, 179-212 (2006)
-
(2006)
Commun. Math. Sci.
, vol.4
, pp. 179-212
-
-
Burger, M.1
Gilboa, G.2
Osher, S.3
Xu, J.4
-
12
-
-
37249068651
-
Inverse total variation flow
-
Burger, M., Frick, K., Osher, S., Scherzer, O.: Inverse total variation flow. Multiscale Model. Simul. 6(2), 366-395 (2007)
-
(2007)
Multiscale Model. Simul.
, vol.6
, Issue.2
, pp. 366-395
-
-
Burger, M.1
Frick, K.2
Osher, S.3
Scherzer, O.4
-
13
-
-
50949131499
-
The discontinuity set of solutions of the TV denoising problem and some extensions
-
Caselles, V., Chambolle, A., Novaga, M.: The discontinuity set of solutions of the TV denoising problem and some extensions. Multiscale Model. Simul. 6(3), 879-894 (2007)
-
(2007)
Multiscale Model. Simul.
, vol.6
, Issue.3
, pp. 879-894
-
-
Caselles, V.1
Chambolle, A.2
Novaga, M.3
-
14
-
-
1242352408
-
An algorithm for total variation minimization and applications
-
Special issue on mathematics and image analysis
-
Chambolle, A.: An algorithm for total variation minimization and applications. J. Math. Imaging Vis. 20(1-2), 89-97 (2004). Special issue on mathematics and image analysis
-
(2004)
J. Math. Imaging Vis.
, vol.20
, Issue.1-2
, pp. 89-97
-
-
Chambolle, A.1
-
15
-
-
0031492191
-
Image recovery via total variation minimization and related problems
-
Chambolle, A., Lions, P.-L.: Image recovery via total variation minimization and related problems. Numer. Math. 76, 167-188 (1997)
-
(1997)
Numer. Math.
, vol.76
, pp. 167-188
-
-
Chambolle, A.1
Lions, P.-L.2
-
16
-
-
79953201848
-
A first-order primal-dual algorithm for convex problems with applications to imaging
-
Chambolle, A., Pock, T.: A first-order primal-dual algorithm for convex problems with applications to imaging. J. Math. Imaging Vis. 40(1), 120-145 (2011)
-
(2011)
J. Math. Imaging Vis.
, vol.40
, Issue.1
, pp. 120-145
-
-
Chambolle, A.1
Pock, T.2
-
17
-
-
15344346435
-
-
SIAM, Philadelphia
-
Chan, T. F., Shen, J.: Image Processing and Analysis: Variational, PDE, Wavelet and Stochastic Methods. SIAM, Philadelphia (2005)
-
(2005)
Image Processing and Analysis: Variational, PDE, Wavelet and Stochastic Methods
-
-
Chan, T.F.1
Shen, J.2
-
18
-
-
0035074671
-
High-order total variation-based image restoration
-
Chan, T., Marquina, A., Mulet, P.: High-order total variation-based image restoration. SIAM J. Sci. Comput. 22(2), 503-516 (2000)
-
(2000)
SIAM J. Sci. Comput.
, vol.22
, Issue.2
, pp. 503-516
-
-
Chan, T.1
Marquina, A.2
Mulet, P.3
-
19
-
-
80051766714
-
A general framework for a class of first order primal-dual algorithms for convex optimization in imaging science
-
Esser, E., Zhang, X., Chan, T. F.: A general framework for a class of first order primal-dual algorithms for convex optimization in imaging science. SIAM J. Imaging Sci. 3(4), 1015-1046 (2010)
-
(2010)
SIAM J. Imaging Sci.
, vol.3
, Issue.4
, pp. 1015-1046
-
-
Esser, E.1
Zhang, X.2
Chan, T.F.3
-
20
-
-
57049132103
-
Nonlocal operators with applications to image processing
-
Gilboa, G., Osher, S.: Nonlocal operators with applications to image processing. Multiscale Model. Simul. 7(3), 1005-1028 (2008)
-
(2008)
Multiscale Model. Simul.
, vol.7
, Issue.3
, pp. 1005-1028
-
-
Gilboa, G.1
Osher, S.2
-
21
-
-
84969334819
-
The split Bregman method for l1-regularized problems
-
Goldstein, T., Osher, S.: The split Bregman method for l1-regularized problems. SIAM J. Imaging Sci. 2(2), 323-343 (2009)
-
(2009)
SIAM J. Imaging Sci.
, vol.2
, Issue.2
, pp. 323-343
-
-
Goldstein, T.1
Osher, S.2
-
22
-
-
77957771584
-
Optimization with PDE constraints
-
Springer, New York
-
Hinze, M., Pinnau, R., Ulbrich, M., Ulbrich, S.: Optimization with PDE Constraints. Mathematical Modelling: Theory and Applications, vol. 23. Springer, New York (2009)
-
(2009)
Mathematical Modelling: Theory and Applications
, vol.23
-
-
Hinze, M.1
Pinnau, R.2
Ulbrich, M.3
Ulbrich, S.4
-
23
-
-
0031190440
-
Proximal minimization methods with generalized Bregman functions
-
Kiwiel, K. C.: Proximal minimization methods with generalized Bregman functions. SIAM J. Control Optim. 35(4), 1142-1168 (1997)
-
(1997)
SIAM J. Control Optim.
, vol.35
, Issue.4
, pp. 1142-1168
-
-
Kiwiel, K.C.1
-
24
-
-
79251548920
-
Second order total generalized variation (TGV) for MRI
-
Knoll, F., Bredies, K., Pock, T., Stollberger, R.: Second order total generalized variation (TGV) for MRI. Magn. Reson. Med. 65(2), 480-491 (2011)
-
(2011)
Magn. Reson. Med.
, vol.65
, Issue.2
, pp. 480-491
-
-
Knoll, F.1
Bredies, K.2
Pock, T.3
Stollberger, R.4
-
25
-
-
0038542695
-
Oscillating patterns in image processing and nonlinear evolution equations: The fifteenth dean Jacqueline B. Lewis memorial lectures. University Lecture Series
-
Boston
-
Meyer, Y.: Oscillating Patterns in Image Processing and Nonlinear Evolution Equations: The Fifteenth Dean Jacqueline B. Lewis Memorial Lectures. University Lecture Series, vol. 22. Am. Math. Soc., Boston (2001)
-
(2001)
Am. Math. Soc.
, vol.22
-
-
Meyer, Y.1
-
26
-
-
19844370110
-
An iterative regularization method for total variationbased image restoration
-
Osher, S., Burger, M., Goldfarb, D., Xu, J., Yin, W.: An iterative regularization method for total variationbased image restoration. Multiscale Model. Simul. 4(2), 460-489 (2005)
-
(2005)
Multiscale Model. Simul.
, vol.4
, Issue.2
, pp. 460-489
-
-
Osher, S.1
Burger, M.2
Goldfarb, D.3
Xu, J.4
Yin, W.5
-
27
-
-
44049111982
-
Nonlinear total variation based noise removal algorithms
-
Rudin, L. I., Osher, S., Fatemi, E.: Nonlinear total variation based noise removal algorithms. Physica D 60, 259-268 (1992)
-
(1992)
Physica D
, vol.60
, pp. 259-268
-
-
Rudin, L.I.1
Osher, S.2
Fatemi, E.3
-
28
-
-
0031653225
-
Denoising with higher order derivatives of bounded variation and an application to parameter estimation
-
Scherzer, O.: Denoising with higher order derivatives of bounded variation and an application to parameter estimation. Computing 60(1), 1-27 (1998)
-
(1998)
Computing
, vol.60
, Issue.1
, pp. 1-27
-
-
Scherzer, O.1
-
29
-
-
73649084123
-
Variational methods with higher order derivatives in image processing
-
Neamtu, M., Schumaker, L. L. eds., Nashboro Press, Brentwood
-
Setzer, S., Steidl, G.: Variational methods with higher order derivatives in image processing. In: Neamtu, M., Schumaker, L. L. (eds.) Approximation XII. Nashboro Press, Brentwood (2008)
-
(2008)
Approximation XII
-
-
Setzer, S.1
Steidl, G.2
-
30
-
-
79953053495
-
Infimal convolution regularizations with discrete l1-type functionals
-
Setzer, S., Steidl, G., Teuber, T.: Infimal convolution regularizations with discrete l1-type functionals. Commun. Math. Sci. 9(3), 797-827 (2011)
-
(2011)
Commun. Math. Sci.
, vol.9
, Issue.3
, pp. 797-827
-
-
Setzer, S.1
Steidl, G.2
Teuber, T.3
-
31
-
-
78651583621
-
Improved total variation-type regularization using higher order edge detectors
-
Stefan, W., Renaut, R. A., Gelb, A.: Improved total variation-type regularization using higher order edge detectors. SIAM J. Imaging Sci. 3(2), 232-251 (2010)
-
(2010)
SIAM J. Imaging Sci.
, vol.3
, Issue.2
, pp. 232-251
-
-
Stefan, W.1
Renaut, R.A.2
Gelb, A.3
-
32
-
-
0346316863
-
Edge-preserving and scale-dependent properties of total variation regularization
-
Special section on imaging
-
Strong, D., Chan, T.: Edge-preserving and scale-dependent properties of total variation regularization. Inverse Probl. 19(6), S165-S187 (2003). Special section on imaging
-
(2003)
Inverse Probl.
, vol.19
, Issue.6
-
-
Strong, D.1
Chan, T.2
-
33
-
-
78651419159
-
A unified primal-dual algorithm framework based on Bregman iteration
-
Zhang, X., Burger, M., Osher, S.: A unified primal-dual algorithm framework based on Bregman iteration. J. Sci. Comput. 46(1), 20-46 (2011)
-
(2011)
J. Sci. Comput.
, vol.46
, Issue.1
, pp. 20-46
-
-
Zhang, X.1
Burger, M.2
Osher, S.3
|